Inelastic Collisions — Prelims Questions

A $0.1,\text{kg}$ bullet is fired horizontally into a $0.9,\text{kg}$ wooden block initially at rest on a frictionless surface. The bullet gets embedded in the block, and the combined system moves with a velocity of $10,\text{m/s}$. What was the initial speed of the bullet?

Two bodies of masses $m_1 = 2,\text{kg}$ and $m_2 = 3,\text{kg}$ are moving towards each other with velocities $u_1 = 4,\text{m/s}$ and $u_2 = -2,\text{m/s}$ respectively. They collide and stick together. What is the kinetic energy lost during this collision?

Which of the following statements is TRUE regarding an inelastic collision?

A $2,\text{kg}$ ball moving at $6,\text{m/s}$ collides with a $4,\text{kg}$ ball moving at $3,\text{m/s}$ in the same direction. If the coefficient of restitution for the collision is $e = 0.5$, what is the velocity of the $2,\text{kg}$ ball after the collision?

A $50,\text{g}$ ball moving at $20,\text{m/s}$ hits a wall and rebounds with a speed of $10,\text{m/s}$. What is the impulse imparted by the wall to the ball?

A $1,\text{kg}$ mass moving at $4,\text{m/s}$ collides head-on with a $2,\text{kg}$ mass moving at $1,\text{m/s}$ in the opposite direction. If the collision is perfectly inelastic, what is the loss of kinetic energy?

A bullet of mass $m$ is fired with velocity $v$ into a large block of mass $M$ at rest. The bullet gets embedded in the block. What fraction of the initial kinetic energy is lost in this perfectly inelastic collision?