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From classical mechanics to quantum field theory, momentum is the Universe's preferred language to describe motion. Learn here about momentum, its conservation, and how it captures our intuitions.

A \(69\text{ kg}\) stuntman jumps out of a window and lands on a trampoline \(5\text{ m}\) below. What is the magnitude of his momentum at the point he hits the trampoline?

**Assumptions**

- The air resistance is negligible
- The gravitational acceleration is \(g=10\text{ m/s}^2.\)

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An object of mass \(4\text{ kg}\) is thrown straight upward into the air at a velocity of \(15\text{ m/s}\) from the edge of a cliff. Let \(p_1\) be the momentum of the object \(1\) second after the throw, and \(p_{4}\) the momentum of the object \(4\) seconds after the throw. Then what is \(\displaystyle{\frac{p_{4}}{p_1}}?\)

Assume that gravitational acceleration is \(g=10\text{ m/s}^2.\)

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A \(1\text{ kg}\) ball is rolling on the floor at \(4\text{ m/s}.\) Find the momentum of the ball.

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An object initially at rest falls freely in an atmosphere free of air resistance. After \(t\) seconds, the kinetic energy of the object is \(x\text{ J}\) and the momentum of the object is \(y\text{ kg}\cdot{m/s}.\) If \(x=y,\) what is the value of \(t?\)

Assume that gravitational acceleration is \(g=10\text{ m/s}^2.\)

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