Momentum and CollisionHard

Question

The figure shows the velocity as a a function of the time for an object with mass 10 kg being pushed along a frictionless surface by external force. At t = 3s. the force stop pushing and the object freely. It then collides head  on and sticks  to another object of mass 25 kg.

Options

A.External force acting on the system is 50N
B.Velocity of the 2nd particle just before the collision is 1/s
C.Before collision both bodies are moving in the same direction
D.Before collision, bodies are moving in opposite direction with respect to each other

Solution

Fext = ᐃmv (for forst body) ⇒ Fext = = 50 N
COME : m1u1 + m2u2 = (m1 + m2) v
⇒ 10 × 5 + 25 × u2 = (10 + 25) 5 ⇒ u2 = 1 m/s

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