Conventionally, the magnitude of gravitational potential energy for an object at infinity from the earth is _____ ((M = Mass of the earth; m = Mass of the object at infinity; R = Radius of the earth). a) -(G*M)/R2 b) -(G*M)/R c) -(G*M*m)/R d) Zero
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Conventionally, the magnitude of gravitational potential energy for an object at infinity from the earth is _____ ((M = Mass of the earth; m = Mass of the object at infinity; R = Radius of the earth).
a) -(G*M)/R2
b) -(G*M)/R
c) -(G*M*m)/R
d) Zero
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- At NASA's Zero Gravity Research Facility in Cleveland, Ohio, experimental payloads fall freely from rest in an evacuated vertical shaft through a distance of 132 m. (a) If a particular payload has a mass of 19 kg, what is its potential energy relative to the bottom of the shaft? (b) How fast will the payload be traveling when it reaches the bottom of the shaft? m/s Convert your answer to mph for a comparison to highway speeds. mphA child of mass m = 29 kg slides down a slide of height h = 2.4 m without friction. Let gravitational potential energy be zero at ground level. Part A : Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. Part B : Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop). Part C: What is the child's final speed, vf in m/s?At NASA's Zero Gravity Research Facility in Cleveland, Ohio, experimental payloads fall freely from rest in an evacuated vertical shaft through a distance of 132 m. (a) If a particular payload has a mass of 36 kg, what is its potential energy relative to the bottom of the shaft? J(b) How fast will the payload be traveling when it reaches the bottom of the shaft? m/sConvert your answer to mph for a comparison to highway speeds.
- The magnitude of the gravitational force between a particle of mass m₁ and one of mass m2 is given by F(x) = G m1m2 x2 where G is a constant and x is the distance between the particles. NOTE: Express your answers in terms of the variables given. (a) What is the corresponding potential energy function U(x)? Assume that U(x) → 0 as x → ∞ and that x is positive. U(x) = (b) How much work is required to increase the separation of the particles from x = x₁ to x = x1+d? W =A 900 kg roller coaster car starts at point A, then travels 125 ft at 40.0° below the horizontal to point B. (a) Taking point B to be the level where the gravitational potential energy of the car-Earth system is zero, what is the potential energy (in J) of the system when the car is at points A and B, and the change in potential energy (in J) as the coaster moves between these points? 168241.5 X J J X J at point A at point B change in potential energy 0 -168241.5 (b) Repeat part (a), setting the zero configuration with the car at point A. at point A 0 at point B change in potential energy -168241.5 -168241.5 X J X J1-25. The gravitational forces exerted by the Sun on the planets are always directed toward the Sun and depend only on the distance r. This type of field is called a central force field. Find the potential energy at a distance r from a center of attraction when the force varies as 1/r. Set the potential energy equal to zero at infinity.
- You have two 1500 kg masses 80.0 m apart. What is the gravitational potential energy of this system? Assume U= 0 for infinite separation of the three masses.Taking the surface of Earth as reference level, how high above the ground does a 65-kg flying witch on a broomstick possess 7.1×103 J of gravitational potential energy?the mass of the object is m=0.2kg the spring is compressed at a distance of X=4cm when the mass is released it slides up to the height of 10cm. and then it turns around and slides back down. find the spring constant, K of the spring? WwwM A note: that the equation for spring potential energy is (1/2*k*x2). and gravitational potential energy is m*g*h. also, the conservation of mechanical energy is MEi=MEf.
- Which of the following quantities has the same dimensions as kinetic energy, mv? Note: [a] = [g] = LT²; [h] = L and [v] = LT'. та тух mvt mgh mgtIn a simple pendulum, energy is stored by lifting the pendulum some height "h" away from the pull of gravity. If the pendulum has gained 10 Joules of gravitational potential energy when it is lifted to position "A", how much kinetic energy will it have at position "B"? A B C D PE = 103 KE =O PE KE = PE=2J KE= -- PE =0 KE= a O Joules 2 Joules 8 Joules 10 JoulesA system consists of six particles. How many terms appear in the expression for the total gravitational potential energy of the system? O 15 O 6 O 5 О 36 О 30