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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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