Question

A toy railway cart of mass 500 g is sitting on a rail, so that it...

A toy railway cart of mass 500 g is sitting on a rail, so that it can roll freely. A metal ball of mass 200 g is suspended on a string, in such a way that it is just touches the cart when the string is hanging vertically.

The metal ball is then pulled to the side so that it is raised by 10 cm when the string is taut.

a. If the ball is released from rest, what is its velocity (in m s − 1) as it strikes the cart? Give your answer to 1 decimal place.

b. If the metal ball comes to rest as it hits the cart, what is the velocity (in m s − 1) of the cart after the collision? Give your answer to 2 decimal places.

c. If the impact took 0.12 seconds, what was the magnitude of the average force between the ball and the cart? Give your answer to 1 decimal place.

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