We don't need to know about the number of moons per planet in order to support the nebular theory. Hence, option 1 is the correct answer.
The Nebular theory is the most successful theory in the field of cosmology which explains the formation and evolution of the solar system. It was proposed by Immanuel Kant in 1755.
It consists of the following steps-
1) collapse of gases named Nebula Stage
2) Spinning Planetary disc stage, which refers to the rotation of the matter.
3) Protosun Stage, which refers to the formation of the pre-sun.
4)Proto-planets formation stage, which occurs when the inner planet became to form.
5)Moons forming or larger planets forming stage.
6)Final stage, is when the entire solar system is formed.
The Correct answer according to the above postulates is 1) the Number of Moons per planet.
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A 1000-kilogram space vehicle travels at 5 meters per second along the level road. The magnitude of the normal force acting on the vehicle is approximately A) 1000N B) 5000N C) 10000N D) 50000N
Answer:
C = 10000N
Explanation:
On a level surface, with no other force acting on the vehicle,
|Normal force| = |Weight|,
Weight = mass * acceleration due to gravity
= 1000 kg * 9.8 m/s^2 or N/kg
= 9800 N
--> 10000 N rounded to one significant digit
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?
You drop a 2.00 kg book to a friend who stands on the ground at distance D = 10.0 m below. If your friend's outstretched hands are at distance d = 1.50 m above the ground (Fig. 8-28), (a) how much work Wg does the gravitational force do on the book as it drops to her hands? (b) What is the change ΔU in the gravitational potential energy of the book–Earth system during the drop? If the gravitational potential energy U of that system is taken to be zero at ground level, what is U(c) when the book is released and (d) when it reaches her hands? Now take U to be 100 J at ground level and again find (e) Wg, (f) ΔU, (g) U at the release point, and (h) U at her hands.
The aswers are as follows:
a) 167J, b) -167J, c) 196J, d)29J, e)167J, f)-167J g)296J, and h) 129J
If your friend's outstretched hands are at distance d = 1.50 m above the ground, (a) work Wg does the gravitational force do on the book as it drops to her hands 167J, b) -167J, c) 196J, d)29J, e)167J, f)-167J g)296J, and h) 129J
a) Work = mg(Ac)
= 2 × 9.8 × (10 - 1.5) = 167j
b) ΔU = Ubc - Uab = Mg(bc) - Mg(ab)
= mg(bc - ab)
= 2 × 9.8 (1.5 - 10) = -167j
c) Potential energy at reach point v = mg(AB) = 2 × 9.8 × 10 = 196J
d) Potential energy at reach point U = mg (bc) = 2 × 9.8 × 1.5 = 29.4j
e) Total work wg = mg (ac) = 2 × 9.8 × 3.5 = 167j
f) ΔU = -wg = - 167j
g) ui = mg × AB + 100 = 196 + 100 = 296j
h) uf = mg × bc + 100 = 29.4 + 100 = 129j
Given the possibility of motion, gravitational forces can sort phases of various densities. Although high temperatures are not anticipated for the early Earth, widespread melting is one possibility. Sorting in response to the outgassing of deeply buried ices is a more feasible scenario. Such processes would have altered the moment of inertia, necessitating an adjustment to the angular velocity. Friction opposes gravitational settling and prevents it from being conservative, which makes quantification dubious. The ensuing phase separation and angular momentum alterations would not need to be as extensive as commonly believed if an iron protocore existed.
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A 59-kgkg person riding a bike puts all her weight on each pedal when climbing a hill. The pedals rotate in a circle of radius 18 cmcm . What is the maximum torque she exerts?
A 59-kg person riding a bike puts all her weight on each pedal when climbing a hill. The pedals rotate in a circle of radius 18 cm. the maximum torque she exerts is 104.07Nm.
given that :
mass ,m = 59 kg
radius , r = 18 cm
The force , F = mg
F = 59 × 9.8
F = 578.2 N
The torque is expressed as:
torque = force × radius
torque = 578.2 N × 0.18 m
torque = 104.07 Nm
Thus, if the mass is 59 kg and the radius is 18 cm then maximum torque she exerts is the 104.07 Nm.
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in the Pollowing figures the horizontal surface on which this block slides is frictionless . if the two Forces acting on
each have magnitude F= 30. №
10.kg What is the magnitude
of the resulting acceleration of the block
The magnitude of the resulting acceleration of the block is 5.60 m/s.
What is Newton's second law?The product of the block's mass and acceleration is the net force acting on the block. Newton's second law of motion is what is known as this.
The following is the expression for Newton's second law:
F = ma
The net horizontal force acting on the block is as follows:
Fnet =F + FcosΘ
Here, F is the force acting on the block, and 8 is the angle at which the force is applied to the block.
Substitute 30Θ for 8 and 30 N for F.
Fnet =30 N + (30 N)cosΘ = 55.98 N
From Newton's second law, the expression for the force is.
Fnet = ma
Substitute 10.0 kg for m and 55.98 N for Fnet
55.98 N = (10 kg)a
a (55.98 N /10 kg)
a = 5.598 m/s2 a = 5.60 m/s
Therefore, the acceleration of the block is 15.60 m/s
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The question is incomplete. Your most probably complete question is given below: The figure is added.
a package of mass m is released from rest at a warehouse loading dock and slides down the 2.0-m-high, frictionless chute to a waiting truck. unfortunately, the truck driver went on a break without having removed the previous package, of mass 2m, from the bottom of the chute. (figure 1)
Part A
Suppose the packages stick together. What is their common speed after the collision? Express your answer to two significant figures and include the appropriate units. Part B
Suppose the collision between the packages is perfectly elastic. To what height does the package of mass m rebound? Express your answer to two significant figures and include the appropriate units.
[tex]\frac{mv^{2} }{2}[/tex]their common speed after the collision is 2.1 m/s and
height the package of mass m rebound is 22cm using conservation of energy and conservation of momentum.
conservation of energy:
Energy cannot be created or destroyed, according to the rule of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present. The law of energy conservation is adhered to by all energy forms.
conservation of momentum:
The product of an object's mass and velocity is that object's momentum. A vector quantity, that is. A fundamental tenet of physics is the conservation of momentum, which asserts that in the absence of an external force, the overall momentum of an isolated system remains constant. In other words, if no outside force influences the system, its total momentum is constant throughout every interaction. The vector sum of the individual momenta represents the total momentum.
Here, we first have to apply conservation of energy:
P.E = K.E
mgh = [tex]\frac{mv^{2} }{2}[/tex] (i)
mass cancels out
v = √2gh = √2×9.8×2 = 6.26099m/s
now applying the conservation of momentum. Since the package sticks after collision, we have for final momentum m = m1 + m2 and initially u2=0
m1u1 + m2u2 = (m1+m2)v
m*6.26099 = 3m*v
v = 2.1 m/s
now using eq (i) we have,
mgh = [tex]\frac{mv^{2} }{2}[/tex]
masses cancels out
h=22cm
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An ice skater with rotational inertia I0I0 is spinning with angular speed ω0ω0. She pulls her arms in, thereby increasing her angular speed to 4ω04ω0. Her rotational inertia is then:
a. I0I0
b. I02I02
c. 2I02I0
d. I04I04
e. 4I0
The new rotational inertia or final moment of inertia of the girl is I₀ / 4.
option D is the correct answer.
What is rotational inertia?
Rotational inertia is a property of any object which can be rotated.
Rotational inertia or moment of inertia of an object is a measure of the resistance of an object to changes in its angular velocity.
Based on the law of conservation of angular momentum, the formula for her new rotational inertia is given as;
I₀ω₀ = I₁ω₁
where;
I₀ is the initial moment of inertiaI₁ is the final moment of inertiaω₀ is the initial angular velocity of the objectω₁ is the final angular velocity of the objectThe given parameters include,
initial angular velocity = ω₀
final angular velocity = 4ω₀
initial moment of inertia = I₀
The final moment of inertia of the girl is calculated as
I₁ = ( I₀ω₀ ) / (ω₁)
I₁ = ( I₀ω₀ ) / (4ω₀)
I₁ = I₀ / 4
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a rectangular coil moving at a constant speed v enters a region of uniform magnetic field from the left. while the coil is entering the field, the direction of the magnetic force is
A rectangular coil moving at a constant speed v enters a region of uniform magnetic field from the left. while the coil is entering the field, the direction of the magnetic force is upward left.
A magnetic force is a force of attraction or repulsion that acts between two accelerated charged particles that are exerted on one charge by the magnetic field produced by the other charged particle.
For currents in circular or closed loop wires, the right-hand can be used to determine how magnetic fields emerge.The right-hand rule allows us to determine the direction of the magnetic field that the current in the straight wire is radiating.In a rectangular coil the induced emf will remain constant because in this case the rate of change of area in the magnetic field region remains constant whereas in a circular coil the rate of change of area in the magnetic field region is not constant.
In this case, you point with your right thumb in the direction of the current passing through the electrical conductor, and since the a rectangular coil moving at a constant speed v enters a region of uniform magnetic field from the left, the direction of the magnetic force will be upward left.
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in the figure, light is incident at angle on a boundary between two transparent materials. some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air.
(a) θ5 in the air is 56.9° and (b) θ4 in the bottom material 35.30°. Normally, a light beam that strikes an angle on a prism's refracting face emerges from the opposite face.
How to calculate?(a) Approximating n=1 for air, we have
n1. sinθ1 = (1)sinθ5 ⇒56.9°=θ5
and with the more accurate value for n air in Table below, we obtain 56.80.(b) Equation n1 sinθ c =n2 sin 90° leads to,
n1 sinθ 1=n2 sinθ2 =n3 sinθ 3 =n4 sinθ 4
so that. θ4 =sin −1( n1/n4.sinθ 1 )=35.30° .
What does angle of incidence mean?The angle of incidence is formed by a line drawn perpendicular to the reflecting barrier and the wave's direction of motion.
Is the incidence angle of refraction?Refraction Depending on the Refractive Indices in the Two Media and the Angle of Incidence. Snell's law states that the angle of incidence, I and the proportion of the refractive indices of the two media that make up the interface determine the angle of refraction, r.
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A bowling ball accidentally falls out of the cargo bay of an airliner as it flies along in a horizontal direction. As observed by a person standing on the ground and viewing the plane as in the figure below, which of the paths 1-5 would the bowling ball most closely follow as it falls to the ground.a. 10
b. 2
c. 4
d. 45
4th paths out of 1 - 5 would the bowling ball most closely follow as it falls to the ground
The bowling ball moves due to the resultant force of the vertical and horizontal direction.
What is resultant force ?The overall force operating on the item or body as well as the direction in which the body is moving are referred to as the resultant force. When the object is stationary or moving at the same speed as it, there is no consequent force.
The outcome is what is produced when vectors are added together. The biggest (maximum) consequent when adding two vectors is equal to their sum when forces are acting in the same direction.
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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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A student received this anemometer as gift: He wants to try it out but the wind is not blowing outdoors He turns on an electric; fan and places the anemometer a constant 0.5 meter in front of the fan_ He sees these digital readings during 10 seconds: 9.62,9.61, 9.63,9.61,9.63,9.61 and 9.62 km/hr: These data are demonstrating which Ptype of experimental error intrinsic systematic error random error in measurement systematic error in measurement intrinsic random error
A cup anemometer, made up of three or four cups with a conical or hemispherical shape set symmetrically around a vertical spindle, is typically used to measure wind speed. The spindle turns because of the wind blowing into the cups.
How to measure wind speed?Anemometers, the devices used to measure wind, may record wind speed, direction, and gust force.The nautical mile per hour (0.51 m sec-1 = 1.15 mph) is the standard unit for expressing wind speed. Wherever the wind is blowing, the wind's direction is reported and measured in relation to true north (not magnetic north). A wind blows from the east or 90 degrees, the south or 180 degrees, and the west or 270 degrees, which is the direction of a westerly wind.Normal wind speed increases with height above the earth's surface, and it is greatly influenced by things like the terrain's roughness and the existence of nearby structures, trees, and other obstructions.There should be no significant obstructions within 300 metres of the tower and the exposure should be flat with uniformly rough terrain. In reality, only a small number of sites in the observing network actually match this condition for all incident wind directions, but the majority are fairly typical of an open site.To Learn more About wind speed refer to:
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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 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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Suppose a rocket is fired vertically upward from the surface of the earth with one-half of the esacpe speed. How far from the center of the earth will it reach vefore it begins to fall back?
(let g = 9.8 m/s^2 and Re = 6370 km)
A. 1.3 * 104 km
B. 8.5 * 103 km
C. 9.6 * 103 km
D. 2.6 * 104 km
E. 1.9 * 104 km
The correct answer: B.
I do not understand why I am not getting the correct answer.
The distance before it falls back to the earth is 8.5 * 103 km. Option B
What is the escape velocity?We know that the escape velocity has to do with the velocity that has to be supplied to a material so that the material can be able to escape from the earth's gravitational pull. Let us recall that the whole earth is a large gravitational field. If we throw an object up then the object would have to certainly fall doen to the ground under the influence of gravity.
It is therefore clear that gravity is the force that draws any object that goes upwards down back to the ground. Given that we have been told here that the speed is one-half of the escape speed, then then the magnitude of the speed is 5590.3 m/s.
Given that;
v^2 = u^2 - 2gh
v = final velocity
u = initial velocity
g = acceleration due to gravity
h = height
Then;
u^2 = 2gh
h = u^2/2g
h = ( 5590.3)^2/2 * 9.8
= 8.5 * 103 km
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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 choo choo train has a mass of 5 x 10^6 kg. Its speed is 20 m/s. The emergency break has a net
braking force of 8.1 x 10^6 N. A) what is the speed 5s later? B) How far has it traveled in this time?
a. The speed of the train after 5s is 28.1m/s
b. The distance traveled by the train after 5s is 120m
What is impulse?The impulse of an object is the rate of change of momentum. Momentum is the product of mass of an object and it's velocity.
therefore the change in momentum = mv - mu.
Impulse is also the product of the force and time.
therefore impulse = ft
ft = mv -mu
8.1×10⁶ ×5 = 5×10⁶(v- u)
divide both sides by 5×10⁶
v-u = 8.1
v-20 = 8.1
v = 20+8.1 = 28.1m/s
therefore the speed of the train after 5s is 28.1m/s
from f = ma
a = (8.1×10⁶)/5×10⁶
a = 1.62m/s²
from s = ut+½at²
S = 20×5+½×1.6×25
S = 100+20
S = 120m
therefore the distance traveled by the train after 5s is 120m.
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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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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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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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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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a hippo's body is 4.0 m long with front and rear feet located as in (figure 1). the hippo carries 60% of its weight on its front feet. Figure <1 of 1 Part A How far from its tail is the hippo's center of gravity? Express your answer with the appropriate units. S → ? de Value Units Submit Request Answer Provide Feedback Beview 1 Constants
The hippo's center of gravity is d = 158m.
Calculation:
from the given figure-
weight of front = 0.60w
weight of back = 0.40 W
By Balancing the forces.
0.60 [1.8+ 0.5-d] -[0.4(α-0.5)]=0
= 1.08 +0.3 - 0.60d - 0.4d +0.2 = 0
d = 158m
A force is a push or pulls on an object caused by its interaction with another object. Whenever there is an interaction between two objects, there is a force acting on each object. When the interaction stops, there is no force on the two objects.
There are four fundamental forces gravity electromagnetic force weak nuclear force, and strong nuclear force. Of these four forces, the mighty nuclear force is the most powerful. From this, we can conclude that whenever the direction of force is in the direction of motion the velocity of the object increases, and when it is opposite to the direction of motion the velocity decreases.
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A rod has a length 2.0000m at 20.0C. The length of the rod increases to 2.0005
5.00 × 10-3/K is the coefficient of thermal expansion of the material from which the rod is made as it increases its length to 2.0005m
What is the purpose of the thermal expansion coefficient?The coefficient of thermal expansion explains how an object's size varies when temperature changes. In particular, it measures the fractional size change per degree change in temperature at constant pressure, where lower coefficients denote a reduced propensity for size change.
What does thermal expansion mean?The propensity of matter to alter shape, volume, and area in reaction to a change in temperature is known as thermal expansion. The average molecular kinetic energy of a substance has a monotonic relationship with temperature.
How is thermal expansion calculated?Use the equation for linear thermal expansion ΔL=αLΔT Δ L = α L Δ T to calculate the change in length, ΔL .
How to solve?Get your rod hot enough to achieve, say, 1% linear thermal expansion.
The rod's dimension has increased to 1.01 units.
The rod is 1.030301 times its original size, or 1.013 larger than it was before heating.
This equals 1.03 when rounded to three major figures. In other words, its volume is 3% higher than that of the cold specimen.
The linear expansion is tripled, or 3%, by the volumetric expansion.
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Complete question:
A rod has a length 2.0000 m at 20.0°C. The length of the rod increases to 2.0005 m when the temperature increases to 40.0°C. What is the coefficient of thermal expansion of the material from which the rod is made?
A disk of mass M is spinning freely at 4.91 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time the two disks are corotating.
(a) What is the angular speed of the new system (in rad/s)? rad/s
(b) If a third such disk is dropped on the first two, find the final angular speed of the system (in rad/s). rad/s
(a) The angular speed of the new system is 2.455 rad/s.
(b) The angular speed of the new system is 1.64 rad/s.
(a) The Angular Momentum Conservation Principle is observed since there are no outside forces acting on either disk.The fact that the axes of rotation of each disk coincide allows for the principle to be reduced to its scalar version. The ratio of the inertial moment to the angular speed determines the angular momentum's size. The moment of inertia doubles and the angular speed is cut in half as soon as both disks start to revolve.
It is given by, I ω₀ = 2* I * ωf
Where,
I - Moment of inertia of a disk, measured in kilogram-square meter
ω₀ - Initial angular speed, measured in radians per second
ωf - Final angular speed, measured in radians per second
The expression for relating final angular speed to initial angular speed is,
ωf = 1/2 * ω₀
Given that, ω₀ = 4.91 rad/s
The new system's angular speed is,
ωf = 1/2 * 4.91 = 2.455 rad/s
(b) If third such disk is dropped on the first two, the expression on angular velocity becomes,
I ω₀ = 3* I * ωf
ωf = 1/3* ω₀ = 1/3* 4.91 = 1.64 rad/s.
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X ft See the framing plan above. If the image doesn't display, click this link or this link. Assume that There are two girders and 5 beams Each beam spans between two girders (i.e., from grid line 1 to 3) There are four columns (at A/1, A/3, E/1 and E/3) What is the tributary area for a rim joist? (Although not explicitly shown, assume that there are joists directly above the girders. The dimensions of the building are as follows: X = 96 ft . Y = 36 ft A B © D (E) Girder 1 Joist EQ. (2 Y ft EQ Girder EQ. EQ. EQ EQ. X ft
There are two girders and 5 beams Each beam spans between two girders. The tributary area of rim joist is 864ft²
Length of the rim joist = Y ft = 36ft
Length of each bay out of 4 = X/4 = 96/4 = 24ft
Tributary width of rim joist is half on each bay to its side
Tw = 24/2 + 24/2 = 24
Tributary area Ta = tw × length
Ta = 24 × 36 = 864ft²
The floor or roof area (in plan) that results in loading on a certain structural element is known as the tributary area. In each direction, name the adjacent column.
the distance between the two, measured.
multiplying by two the distance
From here, create a perpendicular line.
Repeat until a bounding polygon appears for each gridline that is close by.
A beam's tributary area is equal to its length times the addition of half its space to each adjacent girder.
The square footage of the deck surface area supported by one post is known as the tributary area. Depending on how the deck is set up, this can differ for each post.
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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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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 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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Can someone help me and tell me as soon as possible
Answer:
copy and complete this diagram so that the system is in equilibrium
An oscillator creates periodic waves on two strings made ofthe same material. The tension is the same in both strings.If the strings have different thicknesses,which of the following parameters, if any, will be different in thetwo strings?Check all that apply.wave frequencywave speedwavelengthnone of the aboveIf the strings have the same thickness butdifferent lengths, which of the following parameters, if any, willbe different in the two strings?Check all that apply.wave frequencywave speedwavelengthnone of the above
Wavelength of the following parameters, if any, will be different in the two strings.
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), a unit of measurement for frequency, is the number of vibrations that pass through a certain space in a second (Hertz). The link between frequency and wavelength is discussed in this article.
Briefing:The formula for the wave's speed on the string is
[tex]$v=\sqrt{\frac{T}{\mu}}$[/tex]
Here, mu stands for mass per unit of length and T for string tension.
The mass per unit length varies depending on the thickness. As a result, the wave speed varies between the two strings.
The oscillator determines the frequency of the oscillations. As a result, using the same oscillator, the frequency is the same for the two strings.
In terms of frequency and speed,
f= γλ
λ= f/γ
The wavelength of the waves varies as the speeds vary since the frequency is constant.
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