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Question: A body of mass 40kg having velocity 4 m/s collides with another body of mass 60kg having velocity 2 ...

A body of mass 40kg having velocity 4 m/s collides with another body of mass 60kg having velocity 2 m/s. If the collision is inelastic, then loss in kinetic energy will be

A

440 J

B

392 J

C

48 J

D

144 J

Answer

48 J

Explanation

Solution

Loss in kinetic energy

=12m1m2(u1u2)2m1+m2=12(40×6040+60)(42)2= \frac { 1 } { 2 } \frac { m _ { 1 } m _ { 2 } \left( u _ { 1 } - u _ { 2 } \right) ^ { 2 } } { m _ { 1 } + m _ { 2 } } = \frac { 1 } { 2 } \left( \frac { 40 \times 60 } { 40 + 60 } \right) ( 4 - 2 ) ^ { 2 } =48 J= 48 \mathrm {~J}