Linear Momentum of System — MCQ Practice

A $2,\text{kg}$ object moving at $5,\text{m/s}$ collides head-on with a $3,\text{kg}$ object moving at $2,\text{m/s}$ in the opposite direction. If the objects stick together after the collision, what is their common velocity?

A $50,\text{kg}$ man standing on a frictionless surface throws a $2,\text{kg}$ stone horizontally with a speed of $10,\text{m/s}$. What is the recoil speed of the man?

A $1,\text{kg}$ ball moving at $10,\text{m/s}$ collides with a stationary $4,\text{kg}$ ball. After the collision, the $1,\text{kg}$ ball rebounds with a speed of $5,\text{m/s}$. What is the speed of the $4,\text{kg}$ ball after the collision?

A system of two particles has a total mass of $10,\text{kg}$ and its center of mass is moving with a velocity of $(3hat{i} + 4hat{j}),\text{m/s}$. What is the total linear momentum of the system?

Which of the following statements about the conservation of linear momentum is INCORRECT?

A $10,\text{kg}$ object is initially at rest. An external force $vec{F} = (2that{i} + 3hat{j}),\text{N}$ acts on it for $2,\text{s}$. What is the final linear momentum of the object?