A spherical mass M is held fixed in deep space, well away from the earth's gravitational pull. A second mass m is released from rest at a distance r0 from M and begins to move toward M with an initial acceleration a0. In terms of a0, what is m's acceleration when the two masses are only r0/16 apart

256 ×a0

Explanation:

I have added an attachment because I am not sure the phrase that negates word why I couldn't submit the answer directly.

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force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2

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