A 90.0 -kg ice hockey player hits a 0.150 -kg puck, giving...

A 90.0 -kg ice hockey player hits a 0.150 -kg puck, giving the puck a velocity of $45.0 \mathrm{m} / \mathrm{s}$. If both are initially at rest and if the ice is frictionless, how far does the player recoil in the time it takes the puck to reach the goal $15.0 \mathrm{m}$ away?

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Key Concepts

Conservation of Momentum

This concept states that in an isolated system with no external forces, the total momentum remains constant. In scenarios where objects interact, such as in collisions or separations, the sum of the momenta before the event equals the sum of the momenta after the event. This principle is crucial for analyzing situations where one object imparts momentum to another, leading to recoil or movement in the opposite direction.

Newton's Third Law

Newton's Third Law indicates that for every action, there is an equal and opposite reaction. This means that when one object exerts a force on another, the second object simultaneously exerts a force of equal magnitude and opposite direction on the first. This idea is essential for understanding how momentum is exchanged between interacting bodies, resulting in motion such as recoil.

Kinematics of Uniform Motion

Kinematics of uniform motion deals with the analysis of movement when an object travels at a constant velocity, meaning there is zero acceleration. In frictionless scenarios, once an object is set in motion, its speed remains constant. This concept allows the calculation of travel time and displacement by relating distance, speed, and time.

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