Use Newton\' law of gravity force between mass M and mass m at separation d , F

Question

Use Newton' law of gravity force between mass M and mass m at separation d, F = GMm / d 2, to find the ratio of the accelerations aM / am

A) aM / am = Md2 / Gm.

B) aM / am = M / m.

C) aM / am = Gm / Md2

D) aM / am = m / M.

Newton's third law states that for every force there is an equal and opposite force. If these forces are equal and opposite, why don't they cancel out?

A) The two forces act on different objects.

B) The two forces have different carrier particles.

C) The two forces interact with different particle properties.

D) One force is always the normal force.

Explanation / Answer

Here ,

as the gravitational force is

F = G * m *M/d^2

Now, using second law of motion

F = m * a

Now ,as force is same for both masses

aM/am = (F/M)/(F/m)

aM/am = m/M

the ratio of the accelerations aM / am is D) aM / am = m / M.
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the netwon's third law forces are action -reaction forces,

these forces don't cancel out

A) The two forces act on different objects.

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