Question

A mass of 1.9 kg is suspended from a spring of length 0.5m just another body of mass 100 g moving horizontally and strikes the mass and sticks to it. it's combine mass just able to complete the circle initial velocity of the body will be?​

Answer 1

When a body of mass 0.1 kg moving with

velocity 200 m/s strikes a body of mass 3.9 kg

suspended by a string of length 0.5 m, after striking

both the bodies stick together,

So applying law of conservation of momentum,

0.1×200=(3.9+0.1)v

v=5m/s

After striking both the masses together move in a

vertical circle which satisfy the following equation of

motion for tension,

T=

l

mv

2

+mgcosθ

But tension is zero at the highest point

the highest point velocity v=gl

0=mg+mgcosθ

cosθ=−1

θ=π

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