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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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