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In this lesson, we will learn how to convert different types of mechanical energy to and from each other and to recognize when mechanical energy is dissipated.

Q1:

An object with a velocity π£ is slowed to rest by a constant force πΉ over a distance of 12 m. If the objectβs velocity is increased to 5 π£ and then πΉ is again applied to decelerate the object, how far does the object move between the force being applied and the object coming to rest?

Q2:

A ball with an initial velocity of 20 m/s rolls along a curved surface, as shown in the diagram. The mass of the ball is 100 g. Assume that the only energy conversions that take place are between the kinetic energy and the gravitational potential energy of the ball and calculate the height of the ball at different positions, to the nearest meter.

Find β 1 .

Find β 2 .

Find β 3 .

Find β 4 .

Q3:

A ball with an initial velocity of 10 m/s rolls along a curved surface, as shown in the diagram. The mass of the ball is 100 g. Assume that the only energy conversions that take place are between the kinetic energy and the gravitational potential energy of the ball and calculate the speed of the ball at different positions to the nearest meter per second.

Find the magnitude of π£ 1 .

Find the magnitude of π£ 2 .

Find the magnitude of π£ 3 .

Find the magnitude of π£ 4 .

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