Auniform solid sphere is rolling without slipping along a horizontal surface with a speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. what is the speed of the sphere after it has rolled 3.00 m up the ramp, measured along the surface of the ramp?

This question can be answered using the conservation of energy.

Explanation:

The moment of inertia of a solid sphere is

The potential energy is found by using the vertical distance, not the 3.00 m up the ramp. We multiply this 3.00 m by sine of 25° to find the vertical distance.

In rolling without slipping the translational speed is related to rotational speed through .

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

b.

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