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A rock is released from rest at a distance D = 1.5 × 107 m above...

A rock is released from rest at a distance D = 1.5 × 107 m above the surface of the Earth as shown in the figure. Useful constants for this problem are the universal gravitational constant G = 6.67 × 10-11 Nm2/kg2, the mass of the Earth Me = 5.97 × 1024 kg, and the radius of the Earth Re = 6.38 × 106 m.

1)What is the speed of the rock, vfvf, when it has fallen to a distance D/4 above the surface of the Earth?

a. 6432 m/s

b. 12621 m/s

c. 4548 m/s

d. 14857 m/s

e.11173 m/s

2)Planet Hondo has the same radius as the earth but has a smaller mass. Suppose the same rock were released from the same height D above Hondo. How would be speed of the rock a distance D/4 above the surface compare to the answer you found above?

It would be smaller.

It would be bigger.

It would be the same.

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