Two small bodies of masses 10 kg and 20 kg are kept a distance of 1.0 m apart and released. Assuming that only mutual gravitational forces are acting, find the speed of particles when the separation decreases to 0.5 m.
The mass of bodies is
and
.
Initial separation, ![]()
Final separation, ![]()
Initial velocity,
, ![]()
Let the final velocity be
,
.
From momentum conservation ![]()
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Here, we will apply the conservation of energy, ![]()
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Therefore, ![]()
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