There is a net flux going into the surface, the parallelepiped must have a net charge (negative charge). Additionally, without an external field, all lines would point at the slab.
Six parallelograms come together to form a three-dimensional shape called a parallelepiped (the term rhomboid is also sometimes used with this meaning). It is comparable to a parallelogram in the same way that a cube is comparable to a square. There are three similar descriptions of a parallelepiped. A prism with a parallelogram-shaped base, a hexahedron with three pairs of parallel faces, and a polyhedron with six faces, each of which is a parallelogram.
There are pairs of parallel and congruent faces. The parallelepiped has twelve (12) edges and eight (8) vertices. The edges of the parallelepiped can be split into three (3) sets of four (4) edges each, where the edges in each set are all parallel and the same length. The parallelepiped is also a zonohedron.
A parallelepiped is a three-dimensional object having six faces and a parallelogram-like design. It has 8 vertices, 6 faces, and 12 edges. The parallelepiped is also known by the names rhombic, cuboid, and cube.
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A gymnast uses a flexible stick to jump over the bar. Which of the following
describes energy changes when he reaches the highest point of his jump?
When the gymnast starts to jump his potential energy starts to convert to kinetic energy. But when he reaches the maximum height and stop there for seconds, potential energy regains. Thus, option C is correct.
What is potential energy?Potential energy of an object is the energy stored in it by virtue of its position. Potential energy increases with increases in mass and height which is clear from the equation for potential energy
p = mgh
Kinetic energy is generated by motion of the object. Thus, only a moving body attains a kinetic energy. Kinetic energy depends on the mass and velocity of the object.
Here, the gymnast gains a kinetic energy when he starts to jump from rest. But, when he reaches the maximum height where the speed slows down, his kinetic energy converts to potential energy. Thus, option C is correct.
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Your question is incomplete. But your complete question probably was:
A gymnast uses a flexible stick to jump over the bar. Which of the following
describes energy changes when he reaches the highest point of his jump?
A) kinetic- potential- potential
B) kinetic- potential- kinetic
C) potential - kinetic – potential
D) potential- potential- kinetic
what should be the value of 'x' such that the mass то exerts a force of mg on the inclined surface at P. (N=mg)
The value of 'x' such that the mass то exerts a force of mg on the inclined surface at P. (N=mg) is given by
x = N / (mg cos θ)
What is value of 'x'?Generally, To determine the value of 'x', you need to know the angle of inclination of the surface and the mass of the object. The force of gravity (N) acting on the object is equal to the mass of the object (m) multiplied by the acceleration due to gravity (g). The force of gravity is also equal to the normal force (N) exerted by the surface on the object, which is perpendicular to the surface.
If the surface is inclined at an angle θ with respect to the horizontal, the normal force will be equal to the component of the force of gravity along the surface. This component can be calculated using the formula N = mg cos θ, where θ is the angle of inclination and m is the mass of the object.
Therefore, to determine the value of 'x', you need to solve the equation N = mg cos θ for 'x'. To do this, you can rearrange the equation to solve for x:
x = N / (mg cos θ)
Substituting the values of N, m, and θ into this equation will give you the value of 'x' that you are looking for.
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(a) Find the amplitude, frequency, and period of motion for an object vibrating at the end of a horizontal spring if the equation for its position as a function of time is the following. x = (0.225 m) cos ???? 8.00 t A = m f = Hz T = s (b) Find the maximum magnitude of the velocity and acceleration. vmax = m/s amax = m/s2 (c) What are the position, velocity, and acceleration of the object after 1.45 s has elapsed? x = m v = m/s a = m/s2
When a function p(x) determines location, the velocity and acceleration are its first and second derivatives, respectively.
The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2). Since acceleration is a vector quantity, both its magnitude and its direction are included. The speed and direction of an object's motion are its velocity. Alternatively put, velocity is the pace at which an object's position changes (where position incorporates direction by specifying whether the object is moving backwards or forwards on a line, or moving sideways or up and down in two or three dimensions).
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five coins are stacked in the smooth plastic container. if each coin weighs 0.0235 lb, determine the normal reactions of the bottom coin on the container at points a and b.
The smooth plastic jar has five pennies placed inside of it. The normal reactions of the bottom coin on the container at locations a and b will be 0.0705 lb and 0.1175 lb respectively if each coin weighs 0.0235 lb.
What does normal force mean?A contact force, the normal force is often referred to as the normal reaction force. On two surfaces that are not attached to one another, a normal force cannot be applied.
What normal force is present during deceleration?The body's weight determines the usual deceleration force. A body's position relative to the ground tells us when it is about to fall. The normal force is the portion of a force that is perpendicular to any contact surface.
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find the amplitude, frequency, and period of motion for an object vibrating at the end of a horizontal spring if the equation for its position as a function of time is the following.
The amplitude is 0.25s.
Calculation:
Amplitude = A = 0.225 m
Angular frequency = w = 8π rad/s.
Frequency = f = w/2π = 8π/2πHZ = 4 HZ
Time period = T = 1/f = (1/4)s = 0.25s.
The maximum displacement or distance traveled by a point on an oscillating body or shaft, measured from the equilibrium position. This corresponds to half the length of the vibration path. Amplitude difference between a rest position and maximum shaft deflection.
Frequency The number of waves passing a particular point per second. Duration How long it takes for a wave cycle to complete. Sound wave amplitude is a measure of wave height. The amplitude of a sound wave can be defined as the magnitude or loudness of the maximum displacement from the average position of the vibrating particles in the medium when the sound was produced.
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for a severe supercell ts to form over the great plains, one would expect the 5,000 agl wind to be group of answer choices 360/10 kt 200/15 240/90 190/45
Note that for a severe supercell ts to form over the great plains, one would expect the 5,000 AGL wind to be 190/45kts (Option D)
What is a supercell?A supercell thunderstorm is distinguished by the presence of a mesocyclone, which is a deep, continually revolving updraft. As a result, these storms are sometimes known as spinning thunderstorms.
Supercells are storms that have updrafts that spin along a vertical axis and are generally but not always thunderstorms. This rotation is caused by shear in the environmental wind field (a change in wind direction and/or speed with height) that surrounds the storm as it grows.
Supercell thunderstorms are intense, long-lived storms that are characterized by strong wind shear and rotational dynamics.
The wind shear, or the change in wind speed and direction with height, is a key factor in the development and maintenance of supercell thunderstorms.
Note that AGL means Above Ground Level; while
KTS means Knots. Knots are a unit measurement of speed. I nautical mile is usually equated to one knot.
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Light of 650 nm wavelength illuminates a single slit of width 0.20 mm. (Figure 1) shows the intensity pattern seen on a screen behind the slit. You may want to review (Pages 941 - 943) . Figure1 of 1The graph shows intensity as a function of distance. Distance is measured from 0 to 3 centimeters on the x-axis. No values or units are given for the intensity on the y-axis. A large central peak is positioned at 1.5 centimeters with much smaller secondary and tertiary peaks flanking it. The width of the central peak is 1 centimeter. The secondary peaks are positioned at approximately 0.67 centimeters and 2.3 centimeters. The graph shows intensity as a function of distance. Distance is measured from 0 to 3 centimeters on the x-axis. No values or units are given for the intensity on the y-axis. A large central peak is positioned at 1.5 centimeters with much smaller secondary and tertiary peaks flanking it. The width of the central peak is 1 centimeter. The secondary peaks are positioned at approximately 0.67 centimeters and 2.3 centimeters.
Part A What is the distance to the screen? Express your answer to two significant figures and include the appropriate units.
The intensity pattern visible on a screen behind the slits can be stated to depend on the screen's distance (d=1.168m).
How to solve ?From the question we are told,
Two slits that are 0.20 mm apart are illuminated by 650 nm light. The intensity pattern shown on a screen behind the slits is depicted in (Figure 1).
Typically, the mathematical formula for the distance is as follows:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
d=0.33x10^-2x0.23x10^-3/650x10^-9
d=1.168m
What purpose does the distance formula serve?The distance formula is a formula used to determine how far apart two places are from one another. The dimensions of these points are unlimited. For instance, you could need to determine the separation between two points in space, a plane, or a line (1, 2, or 3 dimensions) (3d).
How far is that?Distance is the overall, directionless movement of an object. Distance can be characterized as the amount of space an object has covered, regardless of the starting or ending location.
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A 20 kg crate is placed on a horizontal conveyor belt. The materials are such that μs = 0.41 and μk = 0.21. Draw a free-body diagram showing all the forces on the crate if the conveyer belt is speeding up to the right What is the maximum acceleration the belt can have without the crate slipping? If acceleration of the belt exceeds the value determined in part C, what is the acceleration of the crate?
The maximum acceleration for the belt that the slipping of the crate does not appear is 2 m/s².
what is a belt?
Each rotating pulley is supported on a shaft by a belt drive, which transfers motion from one to the next.Pulley belts are often manufactured from a soft, flexible material such as rubber, although shafts and pulley wheels can be made of any material. The pulleys and belts' grooves aid in their ability to grasp and turn.The frictional force between the two surfaces increases with the amount of wrap around the curved surface, and only a portion of that force (or the resulting belt tension) is transmitted to the other end of the belt or rope when a force applies tension to one end of a belt or rope wrapped around a curved surface. The Belt friction equation can be used to model belt friction.To learn more about belt refer to
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A triathlon athlete swims at an average rate 2.4 miles per hour, and bikes at an average rate of 16.1 miles per hour. At the end of one training session, she has swum and biked more than 20 miles in total.
The inequality and this graph represent the relationship between the hours of swimming, , the hours of biking, , and the total distance the athlete could have traveled in miles. Graph of an inequality. Hours of biking. Hours of swimming.
Mai said, "I'm not sure the graph is right. For example, the point is in the shaded region, but it's not realistic for an athlete to swim for 10 hours and bike for 3 hours in a training session! I think triathlon athletes generally train for no more than 2 hours a day."
Write an inequality to represent Mai's last statement. Graph the solution set to your inequality. Determine a possible combination of swimming and biking times that meet both the distance and the time constraints in this situation.
Elena is considering buying bracelets and necklaces as gifts for her friends. Bracelets cost $3, and necklaces cost $5. She can spend no more than $30 on the gifts. Elena needs at least 7 gift items.
This graph represents the inequality , which describes the cost constraint in this situation.
Let represent the number of bracelets and the number of necklaces.
Graph of inequality. Number of necklaces. Number of bracelets.
Write an inequality that represents the number of gift items that Elena needs.
On the same coordinate plane, graph the solution set to the inequality you wrote.
Use the graphs to find at least two possible combinations of bracelets and necklaces Elena could buy.
Explain how the graphs show that the combination of 2 bracelets and 5 necklaces meet one constraint in the situation but not the other constraint.
Combination of swimming and biking times that meets distance and the time constraints in this situation is s + b ≤ 2. An inequality that represents number of gift items that Elena needs is : 3b+5n≤30.
How is the inequality equation written?If athletes train for not more than 2 hours a day, then the sum of the hours training swimming 'a' and biking 'b' should be less than or equal to 2. Hence, we can write the following inequality:
s + b ≤ 2
Inequality that represents Mai's statement is:
s + b ≤ 2
Part 2:
It is given that , bracelets cost $3, necklaces cost $5 and she can spend not more than $30
Then the inequality that represents the number of gift items that Elena needs : 3b+5n≤30
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The bullet strikes a block of wood which exerts, on average, a force of 50,000 N opposing the motion of the bullet. How far does the bullet penetrate?
The distance that the bullet penetrates is 0.03m.
How to solve?Given data:
The mass of the bullet is
m = 25 g = 0.025 kg
The bullet's initial velocity is
u = 350 m/s
The final velocity of the bullet is
v = 0
The average force opposing the motion is
F = 50000N
From Newton's second law, the acceleration derived as,
F = m. a.
a = F. m..........(1)
Substituting values in equation (1), we get:
a = 50000 N / 0.025 kg = 2×106 m/s 2
The equation of motion is,
v 2=u 2−2 a S
2 a S=u 2−v 2
S = u 2−v 2/2 a.......(2)
Substituting values in equation (2), we get:
S = (350 m/s)2−0/2(2×106 m/s 2)
=12.25×104 m/s 4×106 m/s 2=0.03m
here, the distance that bullet penetrates is 0.03m.
What is the kinetic energy equation?Kinetic energy has the following formula: K.E. = 1/2 m v 2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kg/m per second squared if the mass is measured in kg and the velocity is measured in meters per second.
Which 4 forms of kinetic energy are there?Radiant, thermal, electrical, and mechanical kinetic energies are the basic categories.
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A converging lens with a focal length of 40 cm and a diverging lens with a focal length of -40 cm are 160 cm apart. A 2.5 cm-tall object is 60 cm in front of the converging lens.
Calculate the image position. cm in front of the second lens.
Calculate the image height.
1.25 cm is the height of the image. 160 cm separates a converging lens with such a 40 cm focal length from a diverging lens with the a -40 cm focal length. The converging lens is 60 cm away from a 2.5 cm tall item.
What does a converging or diverging lens mean?A lens that conforms a parallel source beam of light is known as a converging lens. One kind of converging lens is a double convex lens. Converging Lens A lens that separates a parallel light beam is known as a diverging lens. Diverging lenses include those that are double concave.
For the diverging lens, this image height corresponds to object height. We obtain h ′D=(20cm40cm)(5.0cm)=1.25cm again for diverging lens as a result.
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A single loop of copper wire lying flat in a plane, has an area of 7.80 cm^2 and a resistance of 2.70 Ω A uniform magnetic field points perpendicular to the plane of the loop. The field initially has a magnitude of 0.500 T, and the magnitude increases linearly to 3.50 T in a time of 1.10 s. What is the induced current (in mA) in the loop of wire over this time?
The induced current in the loop of the copper wire is found to be 7.85 mA.
The single loop of the copper wire is lying in flat plane and the magnetic field is pointing perpendicular to the plane of the loop. The area of the loop is given to be 7.8cm²
The magnetic field initially has a magnitude of 0.500 Tesla and it finally increases manner to grow to a magnitude of 3.50 Tesla in a time 1.10 seconds.
The induced EMF in the circuit will be given by the relation,
E = A∆B/∆T
Where,
B is magnetic field,
A is the area and T is the time taken.
Putting all the values,
E = 0.00078×(3.5-0.5)/1.1
E = 21.2mV.
The resistance in the copper loop is given to be 2.7 ohm.
Now, the induced current in the circuit will be given by the relation,
I = E/R
Putting all the values
I = 21.2/2.7
I = 7.85 mA.
So, the induced current in the wire is 7.85 milliamps.
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A diffraction grating is illuminated simultaneously with red light of wavelength 690 nm and light of an unknown wavelength. The fifth-order maximum of the unknown wavelength exactly overlaps the fourth-order maximum of the red light. What is the unknown wavelength?
According to the given statement 414 nm is the value of the unknown wavelength.
What is wavelengths and frequency?The distance between two wave crests, which also applies to troughs, is known as the wavelength. Cycles per second (Hz), the number of vibrations that pass across a certain region in a second, is used to measure frequency (Hertz). The link between wavelength and frequency is discussed in this article.
Briefing:For third order maxima,
asinθ = mλ
asinθ = 3 * 690
The slit width in this instance is a, and the angular spacing is.
The fifth order maximum, meanwhile
asinθ = mλ
asinθ = 5λ
Solving as,
5λ = 3 * 690
λ = 414 nm
Therefore, 414 nm is the value of the unknown wavelength.
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Which of the following is an important difference between the infinite square-well potential and the finite square-well potential?a. The number of energy levels is limited in the infinite square-well potential but not limited in the finite square-well potential.b. The infinite square-well potential utilizes Schrödinger's equation to describe particle motion while the finite square-well potential does not.c. The energy levels are quantized only in the finite square-well potential.d. Particles can exist in classically forbidden regions outside the finite square-well potential.e. Only the energy levels in the finite square-well potential depend on Planck's constant.
Particles can exist in classically forbidden regions outside the finite square-well potential.
The correct option is D.
What if Planck's constant was zero?In the absence of quantum effects, everything would be continuous, smooth, and completely predictable in the Newtonian sense. However, we may not be here to get bored with this if Planck's constant were 0.
What use does Planck's constant serve?At the atomic scale, the behavior of both particles and waves is described by Planck's constant. One of the factors that led to the creation of quantum mechanics is Planck's constant. It was a surprise when those boundaries also turned to represent the limits where known rules of physics applied since the Planck scaled was developed as an universal set of units.
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During the heating season, a damper in the bypass duct is closed to prevent air from passing through the humidifier. Electronic humidistats are equipped with solid-state sensors in place of a hygroscopic element. Evaporative humidifiers contain an element that is kept damp. False
This statement is False because Solid-state sensors are used in place of a water - absorbing element in electronic humidistats. A damper in the bypassed duct is closed during the summer period to stop airflow.
What is hygroscopic and example?Hygroscopy - A material is said to be hygroscopic if it has the capacity to adsorb and retain water or water from its immediate surroundings. Examples include ethanol, glycerin, concentrated sulfuric acid, honey, silica gel, and methanol.
How hydroscopic is water?Around the soil particles, some water in the soil creates an incredibly thin, firmly held layer. It's referred to as hydroscopic water. A little amount of water in the soil is chemically linked to soil components in the soil. We refer to it as mixed water.
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In the figure; two point sources S1 and S2, Which are in phase and emit identical sound waves of wavelength 2.0 m: The length L1 = 21 m. A listener stands at point P: Assume the amplitude of individual sound reaching at point P does not change, the sound that the listener hears willl be least intense if the L2 is
The length L₂ for destructive interference is L₂ = 22 m
What is a sound wave?A sound wave is a mechanical wave which carries sound energy from one point to another.
How to find the point L2?Since two point sources S₁ and S₂, Which are in phase and emit identical sound waves of wavelength 2.0 m: The length L₁ = 21 m. A listener stands at point P: Assume the amplitude of individual sound reaching at point P does not change, to find L₂, we need to know the path difference for destructive interference.
What is path difference for destructive interference?The path difference for destructive interference is given by ΔL = (n + 1)λ/2
where
ΔL = path difference = L₂ - L₁, λ = wavelength and n is an integer.Since we require the least intensity, we have the minimum interference. So, n = 0.
So, ΔL = (n + 1)λ/2
ΔL = (0 + 1)λ/2
L₂ - L₁ = λ/2
So, making L₂ subject of the formula, we have
L₂ = L₁ + λ/2
Given that
L₁ = 21 mλ = 2.0 mSubstituting the values of the variables into the equation, we have that
L₂ = L₁ + λ/2
L₂ = 21 m + 2.0 m/2
L₂ = 21 m + 1 m
L₂ = 22 m
So, the length L₂ = 22 m
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A wire is formed into a circle having a diameter of 20.0 cm and placed in a uniform magnetic field of 2.50 mT. The wire carries a current of 5.00 A.
(a) Find the maximum torque on the wire.
_____ µN·m
(b) Find the range of potential energies of the wire-field system for different orientations of the circle.
minimum
_____µJ
maximum
_____ µJ
The maximum torque on the wire is 392.3 µN·m and the range of potential energy is -392.3µN·m(minimum) to +392.3µN·m(maximum)
Torque: Torque is a measure of the force that can cause an object to rotate about an axis. It is a vector quantity.
Given that,
diameter D=20cm
Radius r =10cm
magnetic field B =2.5mT
current I=5A
Torque= n×B
=nBsinФ
torque=nB= NIAB
= 1×5×π×[tex]10^{2}[/tex]×[tex]10^{-4}[/tex]×2.5×[tex]10^{-3}[/tex]
= 39.23×[tex]10^{-5}[/tex]
= 392.3µN·m
minimum potential energy= -nB= -392.3µN·m
maximum potential energy =+nB= +392.3µN·m
Therefore the maximum torque on the wire is 392.3 µN·m when is placed in an uniform magnetic field of 2.50mT and the range of potential energy is -392.3µN·m(minimum) to +392.3µN·m(maximum)
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A potato falling vertically downward is struck by a dart that is traveling vertically upward, as shown above. The dart and potato then collide, stick together, and continue moving after the collision.The weight of the dart is W. Which of the following claims best describes the magnitude of the net force on the dart immediately before, during, and immediately after the collision with the potato?
Option B is Correct
The velocity of the center of mass remains constant before the collision, when they collide there is a slight decrease in kinetic energy of the system since the collision is inelastic, resulting in a slight decrease of velocity, afterwards the velocity is constant again.
Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.
Velocity is a physical vector quantity. Both magnitude and direction are required to define it. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1). For example, " meters/second" is a scalar, but "5 meters/second east" is a vector. An object is said to be accelerating if its velocity, direction, or both change.
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find the degeneracy of the second, third, fourth, and fifth levels for the threedimensional cubical box.
The degeneracies of the first, fourth and fifth energy levels for the three dimensionsal cubical box are 1, 3 and 1.
Calculation :
Given Data
A three-dimensional cubic box with
lx=ly=lz=Li.
For a 3D cubic box, the energy of the particle in a box is having a formula given below,
E3D=h²8m(n²x/l²x+n²y/l²y+n²z/l²z)
Given,
lx=ly=lz=Li, put in the above equation, we get,
E3D=h²/8m(n²x/L²+n²y/L²+n²z/L²)
E3D=h²/8mL²(n²x+n²y+n²z)
Now, for the First energy level, the energy will be,
E3D=h²/8mL²(1²+1²+1²)
E3D=3h²/8mL²
The degeneracy is equal to 1 because nx=ny=nz=1.
Now, for the Fourth energy level, the energy will be,
E3D=h²/8mL²(1²+1²+3²)
E3D=h²/8mL²(1+1+9)
E3D=11h²8mL²
The degeneracy is equal to 3 because, nx=1,ny=1,nz=3,nx=1,ny=3,nz=1 and nx=3,ny=1,nz=1.
Now, for the Fifth energy level, the energy will be,
E3D=h²/8mL²(2²+2²+2²)
E3D=h²/8mL²(4+4+4)
E3D=12h²/8mL²
The degeneracy is equal to 1 because nx=2,ny=2,nz=2.
Therefore, the degeneracies of the first, fourth and fifth energy levels are 1, 3 and 1.
Energy levels are degenerate if they correspond to two or more different measurable states of a quantum system. Conversely, two or more distinct states of a quantum mechanical system are said to be degenerate if they have the same energy value when measured. The number of different states corresponding to a particular energy level is called the degeneracy of the level.
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a 1.0kg block and a 2.0 kg block are pressed together and both are on a horizontal fricitionless surface with a compressed light spring between them concerning the states of the two blocks after they are released and detached from the spring which of the following statements is correct
The spring and pan have very little mass. The mass executes a SHM when it is lightly squeezed and then released.
Forces, location, velocity, and energy—both kinetic and potential energy—are some examples of these quantities. Hoare's Rule. Energy conservation: When the compressed spring returns to its natural length, all of the energy that was stored in it is transformed into kinetic energy. The block is propelled along a horizontal surface as the spring is let go. Friction and the spring's bulk can be disregarded. Between two blocks with masses of 1 kg and 2 kg that are lying on a smooth horizontal surface is a compressed elastic spring. The block is freed from rest once the spring has been compressed by 2.0 cm.
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A roller coaster starts from rest at point A. If you ignore friction and take the zero of potential energy to be at C, A) the kinetic energy of the coaster at D will be equal to its potential energy at A. B) the kinetic energy of the coaster at E will be equal to its potential energy at C. C) the kinetic energy of the coaster at C will be equal to its potential energy at A. D) the kinetic energy of the coaster at B will be equal to its potential energy at C E) None of these is correct. 13. Two objects are sliding at the same speed across a wooden surface. The coefficient of kinetic friction between the first object and the surface is twice that between the second object and the surface. The distance traveled by the first object before it stops is S. The distance traveled by the second object is A) impossible to determine without knowing the masses involved. B) 28 C) S/2 D) S E) 4S 14. A person of weight w is in an upward-moving elevator when the cable suddenly breaks. What is the person's weight measured in the elevator immediately after the elevator starts to fall? A) w B) greater than w C) less than w D) 9.81w E) zero A force F produces an acceleration a on an object of mass m. A force 3F is exerted on a second object, and an acceleration 8a results. What is the mass of the second object? A) 3m B) 9m C) 24m D) (3/8)m E) (8/3)m 15.
A roller coaster starts from rest at point is option C) the kinetic energy of the coaster at C will be equal to its potential energy at A.
Since Two objects are sliding at the same speed across a wooden surface. The distance traveled by the second object is option B) 2S
A person's weight measured in the elevator immediately after the elevator starts to fall is option E) zero A force F produces an acceleration a on an object of mass m.
The mass of the second object is option D) (3/8)m.
What happens when kinetic energy is equal to potential energy?The amount of kinetic energy change and the amount of potential energy change are identical in all physical processes that take place in closed systems. When the kinetic energy rises, the potential energy falls, and vice versa.
Wave speed is the number of meters a wave travels in a second, or the distance a wave travels in a particular amount of time. Equation Speed = Wavelength x Frequency describes how wave speed relates to wave wavelength and wave frequency.
Therefore, When wavelength and frequency are known potential energy stored energy that depends on the relative positions of different components of a system may be utilized to compute wave speed—this equation can be used to determine wave speed. When stretched or squeezed, a spring has higher potential energy.
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In a mass spectrometer, a specific velocity can be selected from a distribution by injecting charged particles between a set of plates with a constant electric field between them and a magnetic field across them (perpendicular to the direction of particle travel). If the fields are tuned exactly right, only particles of a specific velocity will pass through this region undeflected. Consider such a velocity selector in a mass spectrometer with a 0.105 T magnetic field. 50% Part (a) What electric field strength, in volts per meter, is needed to select a speed of 3.9 x 10 m/s? Grade Summary Deductions 090 Potential 100% sino cos tan) cotan asino acos atan) acotan sinho cosho tanho) cotanho Degrees Radians 7 8 9 E4 5 6 1 2 3 0. VOCAL Submissions Attempts remaining 20 per attempt) detailed view Submit Hint French I give up! Hints: O deduction per hint. Hints remaining 2 Feedback: deduction per feedback 50% Part (b) What is the voltage, in kilovolts, between the plates if they are separated by 0.95 cm?
The electric field strength in volts per meter is calculated to be 4.095 V/m.
Given that, speed v = 3.9 * 10 m/s
Magnetic field B = 0.105 T
Using the mass spectrometer velocity selector relationship between the electric field and magnetic field is,
v = E/B
Where,
v is the speed selector
B is magnetic field
E is electric field
Therefore, E = vB
E = 3.9 × 10 × 0.105
E = 4.095 V/m
Thus, electric field E is 4.095 V/m.
The question is incomplete. The complete question is 'What is the electric field strength in volts per meter?'
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9. What is the mass of a sky diver falling at a velocity of 52 m/s who has a kinetic energy of
97344 Joules?
Answer: m = 72 kg
Explanation:
- A basketball strikes the rim of the basket. Explain each force in the force pair.
A basketball experiences four forces as it soars through the air. The ball is being pulled down to the Earth by gravity, being propelled upward by buoyancy, and slowed down due to the drag force created by the air it collides with.
What is force ?A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
For instance, a basketball will strike the ground hard when it is dribbled. The ground's force on the ball is balanced by this force of the ball on the ground. The ball is sent upwards by the second force since it acts in the opposite direction. There are numerous characteristics of motion that depend on this interaction.
Thus, A basketball experiences four forces as it soars through the air.
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A toy spacecraft is launched directly upward. When the toy reaches its highest point, a spring is released and the toy splits into two parts with masses of 0.01 kg and 0.09 kg, respectively. Immediately after the separation, the 0.01 kg part moves horizontally due east. Air resistance is negligible. True statements about the 0.09 kg part include which of the following? I. It could move north immediately after the spring is released. II. It takes longer to reach the ground than does the 0.01 kg part. III. It strikes the ground closer to the launch point than does the 0.01 kg part. (A) I only (B) III only (C) I and II only (D) II and III only (E) I, II, and III
Air resistance is hardly noticeable. true regarding the 0.09-kilogram component. This causes 0.01kg to land farther from the launch site than 0.09kg did.
0.09kg will move to the west due to momentum conservation (opposite of 0.01 kg). Additionally, since both are at the same height above the ground, it will take them equal amounts of time to descend to the ground.
Allowing v to be the speed of 0.01 kg, which means that the speed of 0.09kg will be smaller than 0.01 kg,
0.01v - (0.09)V = 0
V = 0.01 v/ 0.09 = 0.111v
The speed of 0.09 kg = 0.111v
The speed of 0.09 kg is less than 0.01kg.
Because of this, 0.01kg hits the ground farther from the launch point than 0.09kg did.
The amount of resistance in an electrical circuit represents the resistance to current flow. The Greek letter omega (), which represents resistance, represents ohms. German physicist Georg Simon Ohm (1784–1854), who investigated the connection between voltage, current, and resistance, is the name given to the unit of resistance known as an ohm.
Resistance measurements are typically performed in order to evaluate the health of a component or a circuit.
Current flow is inversely correlated with resistance. Conductor damage from corrosion or burning could be one of several potential causes if it is extremely high.
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A sinusoidal transverse wave of wavelength 20 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x=0 is given in Fig. 16-34 as a function of time t. The scale of the vertical axis is set by y s =4.0 cm. The wave equation is to be in the form y(x,t)=y msin(kx±ωt+ϕ). (a) At t=0, is a plot of y versus x in the shape of a positive sine function or a negative sine function? What are (b) y m(c) k (d) ω (e) ϕ (f) the sign in front of ω and (g) the speed of the wave? (h) What is the transverse velocity of the particle at x=0 when t=5.0 s?
The transverse velocity of the particle at x=0 when t=5.0 s is 2.5 cm/s.
y(x,t) = ymsin(kx +- wt + Ф)
(a). At t =0 , y verses x is positive sine function
(b). Ym = y5 = 4 cm
(c). k = 2Π/λ = (2*3.14)/20 = 0.314 rad cm⁻¹
(d). w = 2Πf = 2Π/T = (2*3.14)/10 = 0.628 rad/sec
(e). since at t =0 , x= 0
y = Ym sinΦ
but y = 0 from graph
sinΦ = 0 Φ=0
(f). sin in front of w is 't'
(g) . speed = v= w/k = 0.628/0.314 = 2cm/s
(h) . at x = 0
y = ym sinwt
vy = dy/dt= wym constant
= 0.628*4*cos(0.628*5)
vy = 2.5 cm/s
Wavelength is the spatial period of a periodic wave, i.e. the distance over which the wave shape repeats. [1][2] This is the distance between successive corresponding points of the same phase in the wave. B. Two adjacent peaks, valleys, or zero crossings, characteristic of both traveling and standing waves and other spatial wave patterns.
The reciprocal of wavelength is called spatial frequency. Wavelength is usually represented by the Greek letter lambda (λ). The term wavelength is also sometimes applied to the sinusoidal envelope of modulated waves and waves formed by interference of modulated waves or multiple sinusoids.
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in 1.8 hours a sailboat sailed 81 kilometers east across the sea at a constant velocity. what was the sailboats velocity?
The velocity of the sailboats at sailed a distance of 81 km is 12.5 m/s.
What is velocity?
Velocity is the rate of change of displacement.
To calculate the velocity of the sailboats, we use the formula below.
Formula:
v = d/t................. Equation 1Where:
v = Velocity of the sailboatsd = Distancet = TimeFrom the question,
Given:
d = 81 km = 81000 mt = 1.8 hours = 1.8×60×60 = 6480 sSubstitute these values into equation 1
v = 81000/6480v = 12.5 m/sHence, the velocity is 12.5 m/s.
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which of the following vectors best describes the path of the airplane? question 6 options: none of these
The following vectors best describes the path of the airplane Aniseed of the as plan is 528 [tex]\mathrm{mi} / \mathrm{hr}[/tex]
What is airplane?
A fixed-wing aircraft that is pushed forward by the thrust of a jet engine, propeller, or rocket engine is known as an aeroplane or aeroplane. There are many different sizes, forms, and wing arrangements for airplanes.
[tex]\text { bearing } 25^{\circ} \text { west of north }[/tex]
[tex]\text { Since } \quad 90^{\circ}+25^{\circ}=115^{\circ}[/tex]
[tex]\text { so path of the airplane is }[/tex]
[tex]\left.v=528 \cos \left(i 15^{\circ}\right) i+528 \sin \left(115^{\circ}\right)\right][/tex]
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a cellist tunes the c-string of her instrument to a fundamental frequency of 65.4 hz. the vibrating portion of the string is 0.615 m long and has a mass of 14.8 g .
(A) With 268.94 N tension must she stretch it.
26% increase in tension is needed to increase the frequency from 65.4 Hz to 73.4 Hz, corresponding to a rise in pitch from C to D.
Part (A)
Fundamental frequency =f0= 65.4 Hz.
The length of the vibrating portion of the string = l = 0.615 m
Mass= m = 14.8 g
We know, [tex]f_0 = \frac{v}{2l}[/tex]
So, the value of v will be 65.4*2*0.615 = 80.442 m/s
As, We know,
[tex]T=\frac{v^2}{\frac{m}{l}}[/tex]
So, the value of tension will be: [tex]\frac{80.442^2}{\frac{14.8}{0.615}}=\frac{6470.91}{24.06}=268.94\:N[/tex]
Part (B)
Fundamental frequency =f0= 73.4 Hz.
The length of the vibrating portion of the string = l = 0.615 m
Mass= m = 14.8 g
We know, [tex]f_0 = \frac{v}{2l}[/tex]
So, the value of v will be 73.4*2*0.615 = 90.282 m/s
As, We know,
[tex]T=\frac{v^2}{\frac{m}{l}}[/tex]
So, the value of tension will be: [tex]\frac{90.282^2}{\frac{14.8}{0.615}}=\frac{8150.8395}{24.06}=338.77\:N[/tex]
So, the percentage increase in tension will be [tex]\frac{338.77-268.94}{268.94}\times 100\%=25.96\% \approx 26\%[/tex]
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The complete question should be:
a cellist tunes the c-string of her instrument to a fundamental frequency of 65.4 hz. the vibrating portion of the string is 0.615 m long and has a mass of 14.8 g .
Part A: With what tension must she stretch it?
Part B
What percent increase in tension is needed to increase the frequency from 65.4 Hz to 73.4 Hz, corresponding to a rise in pitch from C to D?
What type of timer would you use to measure
the period of a simple pendulum? How many
oscillations would you time?
It is easy to measure the period using the photogate timer.
What is photogate timer?Photogate timer is used to study free fall, rolling objects, collisions, and pendulums. Photogates allow for extremely accurate timing of events within physics experiments, for studying free fall, air track collisions, pendulum periods, the speed of a rolling object, among other things.
To measure the period of a simple pendulum, we set the simple pendulum into oscillation. Let's say 10 oscillations. The time to complete this oscillation is recorded. This time is divided by the no of oscillation to get the period. Period is also measured in second.
This means that period of a simple pendulum is given as T = t/n
where T is the period and t is the time to complete a given oscillation.
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