# 2 bodies of equal masses are kept stationary at same position.Impulse I and force F is applied to the first and second body respectively.Please help to prove t=2I/F if the 2 bodies again meet after...

2 bodies of equal masses are kept stationary at same position.Impulse I and force F is applied to the first and second body respectively.Please help to prove t=2I/F if the 2 bodies again meet after time t.

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Since objects at rest ,

An impulse is applied to it, then the impulse that gives a stationary object a momentum

`mv` , where v is the velocity gained .

Force F is applied to another object of mass m for t second,again this force will produce a velocity

Impulse =rate of change of momentum =m(v-0)/t=(mv)/t

After t second both meet

Impulse +t (mv)/t=F.t

Impulse+Impulse=F.t

2.Implse=F.t

t=(2. Impulse)/F