A toy truck of mass 2 m elastically collides with a toy car of mass m . speed of truck is v and car is at rest. Find the velocity of car after collision.

Step-by-step solution

Mass of toy truck m_t=2 ~m Mass of toy car m _c= m Initial speed of truck v_t=v and initial speed of car u_c=0 If v₁ and v₂ be the final velocity of truck and car after collision, then by law of conservation of momentum, Total initial momentum = total final momentum aligned m _ t u _ t + m _ c u _ c & = m ₄ v ₁+ m _ c v ₂ 2 mv +0 & =2 mv ₁+ mv ₂ 2 v & =2 v ₁+ v ₂ aligned For elastic collision, coefficient of restitution, e=1 i.e. aligned & v₂-v₁ u₁-u_c =1 & v₂-v₁ v-0 =1 v=v₂-v₁ aligned Solving Eqs. (i) and (ii), we