The bowling ball initially at rest. The bowling ball and putty then move with a velocity of 2 m/s.
The combined mass of the putty and the bowling ball is 6 kg. Using the principle of conservation of momentum, we can calculate the velocity of the bowling ball and putty after the collision.
Given:
Mass of putty=1kg
Velocity of putty=12 m/s
Mass of bowling ball=5kg
Velocity of bowling ball= 0 m/s
As the putty collides with the ball and sticks to it, we can say that they move together after the collision.
Let v be the velocity of putty and bowling ball after collision.
Momentum (p) = mass (m) * velocity (v)
Therefore, momentum before collision = (mass of putty x velocity of putty) + (mass of ball x velocity of ball) = 1 x 12 + 0 x 5 = 12 kg m/s
Momentum after collision = (mass of putty + mass of ball) x velocity after collision= 6 x v kg m/s
So, according to the law of conservation of momentum,12 = 6 x v = 2 m/s
Therefore, the bowling ball and putty move with a velocity of 2 m/s after the collision.
Therefore, the velocity of the bowling ball and putty after the collision is 2 m/s when 1-kg chunk of putty moving at 12 m/s collides with and sticks to a 5-kg bowling ball initially at rest.
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what bias has been applied to a pn junction if the cathode is positive with respect to the anode?
A forward biased has been applied to a P-N junction if the cathode is positive with respect to the anode.
A P-N junction is a type of semiconductor junction formed by joining together two types of semiconductors - P-type and N-type. P-type semiconductors have an excess of positively charged holes, while N-type semiconductors have an excess of negatively charged electrons.
When these two types of semiconductors are brought into contact, the electrons from the N-type material flow into the P-type material, filling some of the holes and creating a region with a net negative charge (the N-side), while the P-type material loses some of its holes and creates a region with a net positive charge (the P-side). This creates a potential difference between the P and N regions, which can be used to generate a current. P-N junctions are essential components in electronic devices such as diodes, transistors, and solar cells.
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PLS HELPPPP ILL GIVE YOU 30 POINTS
Spinning is ________. A. Biking in the mountains or hills B. Biking on rough terrain C. Cycling on a stationary bike D. Cycling on a road bike
Answer:
C
Explanation:
Ever heard of a 'spin' class at your local gym? ===> spinning on a stationary bike with others doing the same
Answer: D
Explanation:
Two forces are applied to a 2. 0 kg block on a frictionless horizontal surface. F1 = 8. ON is applied to the left while F2 = 3. 0 N is applied to the right. What is the
acceleration of the block?
A. ) 2. 5 m/s^2 to the left
B. ) 1. 5 m/s^2 to the right
C. ) 4. 0 m/s^2 to the left
D. ) 2. 5 m/s^2 to the right
Discuss three applications of the effects of surface tension.
A parallel-plate capacitor is connected to a battery that maintains a constant potential difference V between the plates. If a dielectric is inserted between the plates of the capacitor, do the following quantities increase, decrease, or remain the same?
Part A
The electric field between the plates:
a) Increases
b) Decreases
c) Remains the same
Part B
The charge on the plates:
a) Increases
b) Decreases
c) Remains the same
Part C
The capacitance:
a) Increases
b)Decreases
c) Remains the same
Part D
The energy stored in the capacitor:
a) Increases
b) Decreases
c) Remains the same
When a dielectric is inserted between the plates of a parallel-plate capacitor connected to a battery that maintains a constant potential difference V, the electric field between the plates, the charge on the plates, the capacitance C, and the energy stored in the capacitor all undergo changes. These changes can be explained in the following way:
Part A: The electric field between the plates decreases.
Part B: The charge on the plates increases.
Part C: The capacitance increases.
Part D: The energy stored in the capacitor increases.
Explanation:
What is a capacitor?A capacitor is an electronic device that stores electric charge. The capacity of a capacitor to store an electric charge is called its capacitance, and it is calculated by the ratio of the charge on each plate to the potential difference between them. When a dielectric material is inserted between the plates of a capacitor, the capacitance of the capacitor increases since the electric field between the plates decreases, and the charge on the plates increases since the electric field is now being shared between the capacitor plates and the dielectric material. As a result, the energy stored in the capacitor increases since it is proportional to the square of the potential difference V and inversely proportional to the capacitance C.
Part A:
The electric field between the plates (c) decreases. This is because the electric field is equal to the potential difference (V) divided by the plate separation (d) V/D, and since the potential difference is constant, the electric field remains unchanged.
Part B:
The charge on the plates (a) increases. When a dielectric is inserted, the capacitance increases. Since the potential difference remains constant, the increased capacitance will result in an increased charge on the plates according to the formula Q = CV.
Part C:
The capacitance (a) increases. The insertion of a dielectric between the plates of the capacitor increases its capacitance by a factor of the dielectric constant (k) of the material. The new capacitance can be expressed as C= kC, where C is the initial capacitance.
Part D:
The energy stored in the capacitor (a) increases. The energy stored in a capacitor can be expressed as U = 0.5CV^2. Since the capacitance increases and the potential difference remains constant, the energy stored in the capacitor also increases.
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in the heliocentric model of the solar system, one planet passing another in its orbit gives rise to ...
In the heliocentric model of the solar system, one planet passing another in its orbit gives rise to gravitational forces.
It can also lead to an alteration in the planets' orbits. This is due to the gravitational forces produced by the interaction between the planets. A heliocentric model is a model of the solar system in which the sun is at the center and the planets orbit it. This model was first proposed by Nicolaus Copernicus, a Polish astronomer in the 16th century. He proposed this model after observing that it better explained the motions of the planets than the previous geocentric model, in which Earth was at the center and everything else revolved around it. An orbit gives rise to the gravitational force that causes a planet to continue to travel in a circle around the sun. It is also responsible for the gravitational pull between planets, which affects their orbits. A planet passing another planet in its orbit can also cause some gravitational perturbations in its orbit. This can lead to an alteration in the planets' orbits or cause their orbits to change slightly over time. The heliocentric model is currently the widely accepted theory of how our solar system is arranged. It states that the planets orbit the sun, which is a massive ball of hot gas at the center of the solar system. The sun's gravity is what keeps the planets in their orbits.
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how long does it take a tsunami wave to cross the pacific ocean?
Answer:
Assume that the tsunami wave moves at a constant velocity.
The pacific ocean is approximately 12,300 miles wide, and a tsunami wave moves at roughly 500 mi/h.
12,300/500=24.6h
At a given pressure, a substance in the saturated vapor phase will be at a ______ temperature than a superheated vapor.
At a given pressure, a substance in the saturated vapor phase will be at a lower temperature than a superheated vapor.
What is a saturated vapor phase?Saturated vapor refers to the state of a material in which it contains a maximum quantity of vapor that is uniformly blended with the liquid or solid state of the same chemical composition at a specified temperature and pressure.
What is a superheated vapor?A superheated vapor is a vapor that is heated beyond its boiling point or saturation temperature for its pressure. As a result, it will not condense back into a liquid phase until it has cooled sufficiently. As a result, it's simply vapor, with no liquid portion to it.
What happens when pressure remains constant and the temperature of a substance rises?According to Charles's law, if the pressure of a gas is kept constant, the volume of the gas varies directly with the temperature. If pressure remains constant and temperature increases, the volume of a substance expands, indicating that molecules are gaining energy and colliding with one another more frequently. As a result, the kinetic energy of the system increases. When a substance is in a superheated vapor state, it is at a higher temperature than when it is in a saturated vapor state at the same pressure.
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a rock is thrown upward with a velocity of 12 meters per second from the top of a 42 meter high cliff, and it misses the cliff on the way back down. when will the rock be 12 meters from ground level?
The rock will be 12 meters from the ground level after it has been thrown upward with a velocity of 12 meters per second from the top of the 42 meter high cliff for a total of 3.5 seconds.
What is the cliff?The cliff is the height that generally has the highest height and it can be mountains, stones, buildings.
This is because the total time taken for the rock to fall back down will be the same as the total time taken for the rock to reach the top of the cliff. The equation used to calculate this is: time = distance / velocity. Therefore:
Time = 42 meters (cliff height) / 12 meters per second (velocity) = 3.5 seconds.
So, the rock will be 12 meters from the ground level after 3.5 seconds.
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a weightlifter lifts a set of barbells 0.5m over his head with a force of 25 newtons. how much work did he do lifting the weights over his head?
The weightlifter did 12.5 joules of work lifting the weights over his head.
Steps
The weightlifter's work is calculated as the product of the force and the distance moved in the force's direction. When a weightlifter exerts a force of 25 newtons across a distance of 0.5 meters, the following work is accomplished:
W = F × d = 25 N × 0.5 m = 12.5 Joules
Therefore, the weightlifter did 12.5 joules of work lifting the weights over his head.
ForceA physical quantity called force defines the interaction of two systems or objects. In the SI system, it is expressed as the push or pull that one item applies to another and is measured in units of Newtons (N).
An object can accelerate, alter direction, or deform as a result of force. The acceleration of an object is directly proportional to the force that is applied to it and inversely proportional to its mass, according to Newton's second law of motion.
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When an arrow is shot from a bow, it has kinetic energy in it. From where does it get its kinetic energy?
An arrow shot from a bow gets its kinetic energy from the potential energy stored in the bowstring and limbs. When the bowstring is pulled back, it stores energy in the limbs as elastic potential energy.
What is kinetic energy?
Kinetic energy is defined as the energy an object has due to its motion. When an arrow is shot from a bow, it is set in motion and therefore has kinetic energy. The kinetic energy of the arrow depends on its mass and speed. The heavier the arrow, the more kinetic energy it has, and the faster the arrow, the more kinetic energy it has.
The energy stored in the bow is transferred to the arrow when the string is released and the limbs snap back to their original position. This causes the arrow to be propelled forward with a significant amount of kinetic energy.
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explain how angela can calculate the frictional torque applied to the wheel. state what apparatus is to be used.
Angela can calculate the frictional torque applied to the wheel by using a torque wrench. The torque wrench measures the amount of torque needed to rotate the wheel, which is equal to the frictional torque.
Calculating the frictional torque applied to a wheel.To calculate the frictional torque applied to a wheel, Angela can use a torque wrench. A torque wrench is a tool that is used to measure the amount of torque required to rotate the wheel.
When the wheel is turned with the torque wrench, the amount of torque needed to rotate it is equal to the frictional torque that the wheel is experiencing.
By measuring the torque required to rotate the wheel, Angela can calculate the frictional torque accurately.
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what the auditory stimulus is transduced into electrical signals by the?
The auditory stimulus is transduced into electrical signals by the inner ear, specifically the hair cells of the cochlea.
What is the auditory stimulus?The hair cells are mechanoreceptors that convert sound waves into electrical signals that can be transmitted to the brain.The auditory stimulus is any sound that is heard by the ear. Examples of auditory stimuli include speech, music, environmental noise, or any other type of sound.
Other examples of auditory stimuli include animal noises, the sound of machinery, and the sound of the wind.
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charge q1 is distance s from the negative plate of a parallel-plate capacitor. charge is distance 2s from the negative plate. what is the ratio of their potential energies?
The electric potential energy, U, of two point charges is given by the equation, U = kq1q2/r where k is Coulomb's constant, q1 and q2 are the charges and r is the distance between the two charges. Now, let's solve the question using this equation. There are two charges, q1 and q2, and a parallel plate capacitor between them. The distance of q1 from the negative plate is s, and the distance of q2 from the negative plate is 2s. The charges have the same magnitude of charge, so let's assume q1 = q2 = q. Using the formula mentioned earlier, we get U1= kq^2/sU2= kq^2/2s. Therefore, the ratio of their potential energies is U2/U1= kq^2/2s / kq^2/sU2/U1= (kq^2/2s) × (s/kq^2)U2/U1= 1/2.
Therefore, the ratio of their potential energies is 1:2.
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a car of mass 772 kg is traveling 21.4 m/s when the driver applies the brakes, which lock the wheels. the car skids for 4.87 s in the positive x-direction before coming to rest.
A car of mass 772 kg is traveling at 21.4 m/s when the driver applies the brakes, which lock the wheels. The car skids for 4.87 s in the positive x-direction before coming to rest.
The required calculations can be performed using the following equations:
1. F = ma2. v = u + at3. s = ut + (1/2) at^2
Here, u = 21.4 m/s (initial velocity)
a = (-μg) = (-0.5 x 9.8) = -4.9 m/s^2 (deceleration due to the lock)
μ = 0.5 (frictional coefficient between road and tires)
g = 9.8 m/s^2 (acceleration due to gravity)
The normal force is given as:
N = mgN = 772 x 9.8N = 7580.6 N
Now, the force due to friction can be calculated:
F = μN = 0.5 x 7580.6F = 3790.3 N
Therefore, acceleration can be calculated as follows:
F = ma=> a = F/m=> a = 3790.3/772a = 4.91 m/s^2
Now, the final velocity can be calculated as:
v = u + at=> v = 21.4 + (-4.91 x 4.87)v = -0.384 m/s
A negative sign indicates that the car is moving in the negative x-direction.
In order to calculate the distance traveled, we will use the formula:s = ut + (1/2) at^2=> s = 21.4 x 4.87 + (1/2) x (-4.91) x (4.87)^2s = 52.79 mT
herefore, the car skids for 52.79 m in the negative x-direction before coming to rest.
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What is an accretion disk, and what are its characteristics? Select the true statements regarding accretion disks.
Choose one or more:
A. An accretion disk forms because there is nothing to stop the collapse of an interstellar cloud
toward its axis of rotation.
B. An accretion disk's radius is typically hundreds of AU.
C. Conservation of angular momentum leads a cloud to form a disk rather than collapse entirely.
D. Most of the material in an accretion disk that does not end up in the protostar is available
to form its planets.
E. The shape and motion of the accretion disk are the reason that the subsequently
formed planets all orbit in or near the equatorial plane of the star.
The statements that are true for the characteristics of accretion disk are, option (C) Conservation of angular momentum leads a cloud to form a disk rather than collapse entirely and option (E) The shape and motion of the accretion disk are the reason that the subsequently formed planets all orbit in or near the equatorial plane of the star.
An accretion disk is a disk of gas and dust that forms around a central object, such as a proto star or black hole, due to the conservation of angular momentum during the collapse of a rotating interstellar cloud. As material falls inward toward the central object, it forms a disk that heats up and emits radiation, providing a source of energy for the object. Some true statements regarding accretion disks are:
C. Conservation of angular momentum leads a cloud to form a disk rather than collapse entirely.
E. The shape and motion of the accretion disk are the reason that the subsequently formed planets all orbit in or near the equatorial plane of the star.
Statement A is incorrect because an accretion disk forms due to the conservation of angular momentum, not because there is nothing to stop the collapse of an interstellar cloud. Statement B is also incorrect because the size of an accretion disk can vary greatly depending on the size and mass of the central object and the amount of material available. Statement D is incorrect because most of the material in an accretion disk is expected to end up in the central object, not in its planets.
Therefore, the correct options are option (C) Conservation of angular momentum leads a cloud to form a disk rather than collapse entirely and option (E) The shape and motion of the accretion disk are the reason that the subsequently formed planets all orbit in or near the equatorial plane of the star.
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(a) how many kilometers does light traverse in 1 ly? km (b) what is the speed of light c in terms of ly per year. ly/y (c) express your answer from (b) in terms of feet per nanosecond. ft/ns
a) Light traverses approximately 9.461 × 10^12 kilometers in 1 light-year
.b) The speed of light in terms of ly per year is 1 ly/y.c) 1 light-year equals 5.8785 × 10^12 miles. 1 mile is equal to 5,280 feet.
Therefore, 1 light-year is equal to 31.0688 × 10^12 feet. A nanosecond is equal to one billionth of a second (1/1,000,000,000 second). Therefore, 1 second is equal to 1 × 10^9 nanoseconds. Speed is equal to distance divided by time.
Therefore, Speed of light in feet per nanosecond = (31.0688 × 10^12 feet) / (1 year × 365 days/year × 24 hours/day × 3600 seconds/hour × 1 × 10^9 nanoseconds/second) = 1.005 × 10^5 feet per nanosecond (approximately).
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what process produces the light and heat of the sun?
Answer:
The light and heat of the sun are produced by the process of nuclear fusion, where hydrogen atoms combine to form helium, releasing vast amounts of energy in the process.
A refrigerator absorbs 5.0 kJ of heat from a cold reservoir and releases 8.0 kJ to a hot reservoir.
(a) Find the coefficient of performance of the refrigerator.
(b) The refrigerator is reversible. If it is run backward as a heat engine between the same two reservoirs, what is its efficiency?
______%
(a) The coefficient of performance of the refrigerator is 0.625, indicating that 5.0 kJ of heat absorbed by the refrigerator produces 8.0 kJ of heat released to the hot reservoir. (b) When run backward as a heat engine between the same two reservoirs, the refrigerator has an efficiency of 37.5%.
(a) The coefficient of performance of a refrigerator is given by the ratio of the heat absorbed from the cold reservoir to the work input. Here, the heat absorbed is 5.0 kJ and the heat rejected to the hot reservoir is 8.0 kJ. Therefore, the work input is:
Work input = Heat rejected - Heat absorbed
= 8.0 kJ - 5.0 kJ
= 3.0 kJ
So, the coefficient of performance is:
Coefficient of performance = Heat absorbed / Work input
= 5.0 kJ / 3.0 kJ
= 1.67
Therefore, the coefficient of performance of the refrigerator is 1.67.
(b) The efficiency of a heat engine is given by the ratio of the work output to the heat input. In this case, the refrigerator is run backward as a heat engine between the same two reservoirs. So, the heat input to the engine is 8.0 kJ and the work output is the same as the work input of the refrigerator, which is 3.0 kJ. Therefore, the efficiency of the heat engine is:
Efficiency = Work output / Heat input
= 3.0 kJ / 8.0 kJ
= 0.375
So, the efficiency of the heat engine is 37.5%.
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Find the acceleration of the distance versus time function: s = 2t^2 + 2
Answer:
4
Explanation:
Speed = 2t²+2
by differentiation,
ds/dt=Velocity=4t
dv/dt=Acceleration=4
Three bulbs
A circuit is made of two 1.7 volt batteries and three light bulbs as shown in the figure. When the switch is closed and the bulbs are glowing, bulb 1 has a resistance of 6 ohms, bulb 2 has a resistance of 45 ohms, bulb 3 has a resistance of 26 ohms, and the copper connecting wires have negligible resistance. You can also neglect the internal resistance of the batteries.
(a) With the switch open, indicate the approximate surface charge on the circuit diagram.(Do this on paper. Your instructor may ask you to turn in this work.) Refer to your diagram to decide which of the following statements about the circuit (with the switch open) are true:
There is no excess charge on the surface of the wire at location C.
The electric field in the air between locations B and C is zero.
There is a large gradient of surface charge between locations M and L.
The electric field in the filament of bulb 3 is zero.
The surface charge on the wire at location B is positive.
(b) With the switch open, find these potential differences:
VB - VC =
V
VD - VK =
V
(c) After the switch is closed and the steady state is established, the currents through bulbs 1, 2, and 3 are I1, I2, and I3 respectively. Which of the following equations are correct loop or node equations for this steady state circuit?
I2 = I3
+3.4V + -I1*(6 ) + -I2*(45 ) = 0
-I2*(45 ) + I3*(26 ) = 0
-I1*(6 )-I2*(45 ) + I3*(26 ) = 0
I1 = I2 + I3
+3.4V + -I1*(6 ) + I3*(6 ) = 0
(d) In the steady state (switch closed), which of these are correct?
VC - VF = +I2*(45 )
VC - VF = +I3*(26 )
VL - VA = -3.4V + I1*(6 )
VC - VF = +I1*(6 )
VC - VF = 0
(f) Now find the unknown currents, to the nearest milliampere. (I.e. enter your answer to three decimal places.)
I1 =
A
I2 =
A
I3 =
A
(g) How many electrons leave the battery at location N every second?
electrons/s
(i) What is the numerical value of the power delivered by the batteries?
P =
W
(j) The tungsten filament in the 45 ohm bulb is 12 mm long and has a cross-sectional area of 2 ✕ 10-10 m2. What is the magnitude of the electric field inside this metal filament?
|vector E| =
V/m
A. There is no excess charge on the surface of the wire at location C. - True
What is location?Location is a term used to describe the physical area or space a person, object, or event occupies. It is also used to describe a point on a map or other spatial coordinate system. It is often used to describe the geographic area of a business, city, or town.
The electric field in the air between locations B and C is zero. - True
There is a large gradient of surface charge between locations M and L. - False
The electric field in the filament of bulb 3 is zero. - True
The surface charge on the wire at location B is positive. - False
(b) With the switch open, find these potential differences: VB - VC = 0V
VD - VK = 0V
(c) I2 = I3 - False
+3.4V + -I1*(6 ) + -I2*(45 ) = 0 - True
-I2*(45 ) + I3*(26 ) = 0 - True
-I1*(6 )-I2*(45 ) + I3*(26 ) = 0 - True
I1 = I2 + I3 - True
+3.4V + -I1*(6 ) + I3*(6 ) = 0 - False
(d) VC - VF = +I2*(45 ) - True
VC - VF = +I3*(26 ) - True
VL - VA = -3.4V + I1*(6 ) - True
VC - VF = +I1*(6 ) - True
VC - VF = 0 - False
(f) I1 = 0.941A
I2 = 0.021A
I3 = 0.920A
(g) electrons/s = 2.852 x 10^18
(i) P = 3.4W
(j) |vector E| = 2.908 x 10^7 V/m
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(a) There is no excess charge on the surface of the wire at location C. - True.
What is location?Location is a term used to describe the physical area or space a person, object, or event occupies. It is also used to describe a point on a map or other spatial coordinate system. It is often used to describe the geographic area of a business, city, or town.
The electric field in the air between locations B and C is zero. - True
There is a large gradient of surface charge between locations M and L. - False.
The electric field in the filament of bulb 3 is zero. - True
The surface charge on the wire at location B is positive. - False
(b) With the switch open, find these potential differences: VB - VC = 0V
VD - VK = 0V
(c) I₂ = I₃ - False
+3.4V + -I₁ * (6 ) + -I₂ * (45 ) = 0 - True
-I₂ * (45 ) + I₃ * (26 ) = 0 - True
-I₁ * (6 ) -I₂ * (45 ) + I₃ * (26 ) = 0 - True
I1 = I2 + I3 - True
+3.4V + -I₁ * (6 ) + I₃ * (6 ) = 0 - False
(d) VC - VF = +I₂ * (45 ) - True
VC - VF = +I₃ * (26 ) - True
VL - VA = -3.4V + I₁*(6 ) - True
VC - VF = +I₁*(6 ) - True
VC - VF = 0 - False
(f) I₁= 0.941A
I₂ = 0.021A
I₃ = 0.920A
(g) electrons/s = 2.852 x 10¹⁸
(i) P = 3.4W
(j) |vector E| = 2.908 x 10⁷ V/m
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what state of matter is rutherfordium in while at room temperature
Rutherfordium is a synthetic element with the atomic number 104 and symbol Rf. As a synthetic element, it is not found naturally on Earth and is produced through nuclear reactions in laboratories.
Rutherfordium is a member of the transition metals group and is expected to have similar physical and chemical properties to its neighboring elements in the periodic table. However, due to its radioactive nature and short half-life, its physical properties are difficult to determine.
While there is no experimental data available on the state of matter of rutherfordium at room temperature, it is expected to be a solid metal, similar to other transition metals, such as copper or nickel.
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what is the difference between a short and long period comet?
An orbital period of less than 200 years characterises a short period comet, whereas an orbital period of more than 200 years characterises a long period comet.
Long period comets come from the Oort Cloud, a spherical cloud of frozen bodies that surrounds the solar system, whereas short period comets come from the Kuiper Belt, a region of the solar system beyond Neptune.
Long period comets are significantly more unpredictable and can have extremely elliptical orbits that bring them near to the sun and then far away again. Short period comets typically have more predictable orbits and are more likely to be detected more than once. Long period comets are also more likely to have volatile compositions and fragment while travelling across the solar system.
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Compared with falling on a wooden floor, a wine glass may not break when it falls to a carpeted floor because of the:a) lesser impulse in stoppingb) longer time to stopc) both of thesed) neither of these
Option (B) longer time to stop, is the correct answer.The reason for wine glasses not breaking when they fall on a carpeted floor, compared to falling on a wooden floor, is due to the longer time to stop.
Impulse is a measure of the change in momentum that an object experiences when subjected to an impact force. The impulse in stopping is not the reason wine glasses may not break when they fall to a carpeted floor.Wine glasses are fragile, and when they hit a hard surface, they are likely to break. Wine glasses may not break when they fall on a carpeted floor because the carpet is soft and has a low elastic modulus.
The carpet is capable of absorbing some of the impact's energy, reducing the amount of energy that the wine glass receives. Because the carpet has a low elastic modulus, it takes longer for the wine glass to come to a stop, reducing the force that the glass experiences when it hits the ground. When a wine glass falls on a hard surface such as a wooden floor, the glass comes to a stop more quickly, meaning that the stopping time is less, and the force of impact is higher, making it more likely to break.
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if i move 3 m east and 4 m north what is my displacement
If I move 3 m east and 4 m north, then my displacement would be 5m.
What do you understand by displacement?In geometry and mechanics, displacement is defined as a vector whose length is the shortest distance from initial to the final position of a point P undergoing the motion.
If an object moves relative to the reference frame—for example, if professor moves to the right relative to whiteboard or passenger moves toward the rear of airplane—then object's position changes. And this change in position is known as displacement.
Given AB= 3m east and BC= 4m north
AC= √ 3² + 4²= 25
So, AC, displacement = 5m
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Three dimensions. Three point particles are fixed in place in any xyz coordinate system. Particle A, at the origin, has mass m A . Particle B, at xyz , coordinates (2.00d,2.00d), has mass 2.00 m A , and particle C, at coordinates ( - 1.00d , 2.00d, -3.00d ), has mass the other particles. In terms of distance d, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero
In order for the net gravitational force on particle A from particles B, C, and D to be zero, particle D must be placed at x = 0, y = 4d, and z = 0.
This can be calculated using Newton's law of universal gravitation, which states that the gravitational force between two objects is directly proportional to the product of their masses, and inversely proportional to the square of the distance between them. Therefore, the net gravitational force can be calculated by considering the gravitational force between each pair of particles and summing the results.
For particle A, the gravitational force due to B, C, and D will be:
FAB = (G*m*2m) / (d²) ,
FAC = (G*m*2m) / ((-d)²) ,
FAD = (G*m*2m) / ((y-d)²).
For particle D, the gravitational force due to B, C, and A will be:
FDB = (G*2m*m) / (d²) ,
FDC = (G*2m*m) / ((-d)²) ,
FDA = (G*2m*m) / ((y-d)²).
Adding these forces together and equating them to zero yields the coordinates for particle D: x = 0, y = 4d, and z = 0.
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aball is thrown horizontally from the top of a building 120 m high. the ball strikes the ground at a point 75 m horizontally away from and below the point of release. what is the resultant speed of the ball just before it strikes the ground?
The resultant speed of the ball just before it strikes the ground can be calculated by using the equation of motion. The equation of motion for an object in free fall is: s = u + at
Where:
s is the distance travelled. u is the initial velocity.a is the acceleration (due to gravity). t is the time.In this case, the initial velocity (u) is 0 (since it is thrown horizontally). The acceleration (a) is 9.81 m/s2, and the distance travelled (s) is 195 m (the distance from the top of the building to the point of impact).
Plugging the values into the equation: 195 = 0 + 9.81t. Solving for t, we get t = 19.84 s.
The resultant speed (v) can be calculated by using the equation v = u + at. Since u is 0, the equation simplifies to v = 9.81t. Plugging in the value of t that we found earlier, we get v = 195.87 m/s, which is the resultant speed of the ball just before it strikes the ground.
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Observe and compare the forces acting on the turtle and the cat.
a turtle and a cat on the ground looking at each other and not moving
1. The forces are balanced on both animals because they are not moving.
2. The forces are unbalanced on both animals because they are not moving.
3. The forces are balanced on the turtle but unbalanced on the cat because it is heavier.
4. The forces are balanced on the cat but unbalanced on the turtle because the cat is larger.
The forces acting on the turtle and the cat when they are on the ground and not moving are balanced. Therefore, option 1 is the correct answer.
When the forces are balanced, the object is at rest or it will move at a constant speed in a straight line. In this case, both the turtle and the cat are on the ground and not moving. Therefore, the forces acting on both of them are balanced.
Unbalanced forces cause the object to accelerate or change direction. The magnitude and direction of the forces are not equal in unbalanced forces. Therefore, options 2, 3, and 4 are incorrect answers.
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a 91.74 pound body is being hoisted by a winch, the tension in the hoisting cable being kept constant at 167.97 pounds. at what rate is th body accelerated in ft/sec^2 upward?
The rate of acceleration of the body is 0.831 ft/sec² upward.
To determine the rate of acceleration of a body being hoisted by a winch, we need to apply the Newton's second law of motion. The second law states that the net force acting on a body is equal to the product of its mass and acceleration. Mathematically,
F = ma
Where
F is the net force, m is the mass, and a is the acceleration.Given that a 91.74 pound body is being hoisted by a winch, and the tension in the hoisting cable is kept constant at 167.97 pounds. To determine the rate at which the body is accelerated, we need to calculate the net force acting on the body.
Net force = Tension in the hoisting cable - Weight of the body= 167.97 - 91.74= 76.23 pounds.
Now we can substitute the net force into the formula F = ma as follows:
76.23 = ma
Rearranging the formula, we get;
a = 76.23/m
where m is the mass of the body expressed in pounds. Therefore, the rate of acceleration of the body is given by;
a = 76.23/91.74 = 0.831 ft/sec² upward.
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A pendulum comprised of a metal ball attached to a light string of length L undergoes simple harmonic motion with a period given by
T = 2 π sqrt(L/g). If the ball is made positively charged and the pendulum is swung in an electric directed towards the center of the earth. Which statement is true?
Not enough information
The period is unchanged
The period decreases
The period increases
Not enough information is given to determine whether the period would decrease, increase, or remain unchanged.
The period indicates the time required for a complete oscillation, the frequency indicates the number of oscillations that occur in one second, and the angular frequency indicates the magnitude of the rotational speed.
The period of a pendulum comprised of a metal ball attached to a light string of length L undergoing simple harmonic motion is given by T = 2 π sqrt(L/g). If the ball is made positively charged and the pendulum is swung in an electric directed towards the center of the earth, then not enough information is given to determine whether the period would decrease, increase, or remain unchanged.
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