 Classical Mechanics

# Momentum 1D - Problem Solving

Two ice skaters of weights $42\text{ kg}$ and $84\text{ kg}$ push off against each other starting from a stationary position. If the $42 \text{ kg}$ skater acquires a velocity of $6 \text{ m/s}$ to the right, what speed does the $84 \text{ kg}$ skater acquire?

A $10.0\text{ g}$ bullet is fired from a rifle of mass $4 \text{ kg} .$ If the speed of the fired bullet is $850 \text{ m/s},$ what is the approximate recoil speed of the rifle?

Two objects of weights $2 \text{ kg}$ and $3 \text{ kg}$ slide together with equal velocities of $9.0 \text{ m/s},$ and then they break apart. If the final velocity of the $3 \text{ kg}$ object is $10.0 \text{ m/s},$ what is the magnitude of the final velocity of the $2 \text{ kg}$ object?

A glider of mass $100 \text{ g}$ is moving along a horizontal straight air track at $4 \text{ m/s}.$ It then collides with a stationary glider of mass $100 \text{ g}.$ After the collision, the velocity of the first glider becomes $2 \text{ m/s}$ in the same direction as before. What is the velocity of the second glider?

An object $m_1 (= 2 \text{ kg})$ which moves with a velocity of $15 \text{ m/s}$ collides with a stationary object $m_2 (= 8 \text{ kg}).$ After the collision, they stick to each other and move together. Find the magnitude of velocity of both objects after the collision.

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