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a student throws a proyectile with a mass of .20kg that gets stuck inside an stationary...

a student throws a proyectile with a mass of .20kg that gets stuck inside an stationary object with a mass of 2.50kg. what is the kinetic energy percentage after the proyectile hits the stationary object?
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Answer #1

Using the principle of conservation of momentum, if m1, m2 be the two masses with initial velocity v1 and v2 and after collision velocities be v1' and v2' then we must have

Initially object is at velocity 0 and after the projectile getting stuck they move with common velocity say v'

So, we have

So, ratio of kinetic energy of the projectile is

So, final kinetic energy is about 0.55% of the initial.

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