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Chapter 6: Q6.3-7CQ (page 218)

A number of amusement parks have rides that make vertical loops like the one shown in Figure. For safety, the cars are attached to the rails in such a way that they cannot fall off. If the car goes over the top at just the right speed, gravity alone will supply the centripetal force. What other force acts and what is its direction if: (a) The car goes over the top at faster than this speed? (b)The car goes over the top at slower than this speed?

Short Answer

Expert verified

The car goes over the top at faster than this speed becausecentripetal acceleration is more than gravity and the centripetal acceleration will cause a net upward force.

The car goes over the top at slower than this speed because centripetal acceleration is less than gravity and the gravity will cause a net downward force.

Step by step solution

01

Definition of centripetal force

The centripetal force causes a body to follow a curved path. It always moves in the opposite direction of the body, towards the fixed point of the path's instantaneous centre of curvature.

Centripetal force is present when a body moves in circular path or in circle .It always works toward the centre.

02

Determine the Condition when the car goes over the top faster than this speed (a)

The centripetal acceleration is more than gravity and the centripetal acceleration will cause a net upward force.

A very high normal force acts on the car making it push harder against the rails. The passengers experience a force higher than 1g.

03

Determine the Condition when the car goes over the top slower faster than this speed (b)

If it goes slower then centripetal acceleration is less than gravity and the gravity will cause a net downward force.

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