a rock of mass m is dropped to the ground from a height h. a second rock, with mass 7m, is dropped from the same height. when the second rock strikes the ground, which of the following best describes its kinetic energy?

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23-11-2022
Physics

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a rock of mass m is dropped to the ground from a height h. a second rock, with mass 7m, is dropped from the same height. when the second rock strikes the ground, which of the following best describes its kinetic energy?

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ayune ayune · Answer 1 · 2022-11-27T02:51:44-05:00

Two rocks, with mass m and 7m, are dropped from a height h. The kinetic energy of rock with mass 7m is 7 times that of the rock with mass m.

When an object is dropped from a certain height, it will experience a free fall motion. Its velocity just before the object hits the ground is:

v = √(2gh)

Hence, it the velocity doesn't depend on the mass of the object. Therefore, in the given case, the velocity of mass m and mass 7m will be the same.

The kinetic energy of an object with m is given by:

Ek = 1/2 . mv²

Since the velocities of the two rocks are the same, the kinetic energy is directly proportional to their masses.

Ek1 : Ek2 = m1 : m2

Ek1 : Ek2 = m : 7m

Ek2 = 7 Ek1

Thus, the kinetic energy of rock with mass 7m is 7 times that of the rock with mass m.

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