Question

A heavy vehicle moving with velocity 15m/s strikes an object

Answer 1

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Answer 2

Answer:

Let the mass of vehicle be M

Velocity be V=15m/s

Mass of object be m

Velocity be v

V' is new velocity of vegicle

By applying conservation of momentum

MV = MV' + mv

M (V - V')=mv....(1)

By applying conservation of kinetic energy

By cancelling 1/2 from equation

MV*2=MV'*2+mv*2

M (V*2 - V'*2) = mv*2

M (V+V')(V - V') = mv*2 ....... (2)

By dividing 2 and 1

V+V' = v

V' = v - V.... (3)

By putting 3 in 1

v = 2MV/ M+m

M>>m

v = 2V

v = 2 ×15 =30m/s