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Momentum

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.

Impulse of a Constant Force

A \(66\text{ kg}\) stuntman jumps out of a window that's \(5\text{ m}\) above the ground. When he hits the ground, the impulse time between him and the ground is \(2\text{ s}.\) What is the average force delivered to the man by the ground during the impulse?

Ignore any air resistance, and assume that gravitational acceleration is \(g=10\text{ m/s}^2.\)

An object of mass \(0.5\text{ kg},\) initially at rest, acquires a speed of \(2\text{ m/s}\) after being pushed by a constant force \(F.\) If the impact time is \(25\text{ ms},\) what is the magnitude of \(F?\)

An object of mass \(m\) traveling horizontally with velocity \(v\) strikes a massive vertical wall and rebounds back along its original direction with no change in speed. If the impulse time is \(2\text{ ms},\) what is the magnitude of the force delivered by the wall to the object?

A man playing pocket-ball strikes the white ball with mass \(0.5\text{ kg},\) and the ball gets a launch speed of \(10\text{ m/s}.\) If the strike delivered a constant force of magnitude \(25\text{ N},\) what is the impulse time?

A ball of mass \(1\text{ kg}\) is dropped straight downward from a \(20\text{ m}\) high rooftop. After the ball hits the ground, it bounces back in the air up to \(5\text{ m},\) and then starts to fall again. If the impact time between the ball and the ground is \(50\text{ ms},\) what is the magnitude of the average force exerted by the ground on the ball?

Ignore any air resistance, and assume that gravitational acceleration is \(g=10\text{ m/s}^2.\)

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