A ball of 0.145 is tied to a 50 cm rope and begins to spin in a horizontal circle. Determine (a) the centripetal acceleration if the velocity of the ball is 7.0 m/s and (b) find the centripetal force that keeps the ball in the circular path.

A ball of 0.145 is tied to a 50 cm rope and begins to spin in a horizontal circle. Determine (a) the centripetal acceleration if the velocity of the ball is 7.0 m/s and (b) find the centripetal force that keeps the ball in the circular path.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section5.3: Nonuniform Circular Motion

Problem 5.5QQ: Which of the following is impossible for a car moving in a circular path? Assume that the car is...

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

A ball of 0.145 is tied to a 50 cm rope and begins to spin in a horizontal circle.

Determine (a) the centripetal acceleration if the velocity of the ball is 7.0 m/s and

(b) find the centripetal force that keeps the ball in the circular path.

Definition Definition Force on a body along the radial direction. Centripetal force is responsible for the circular motion of a body. The magnitude of centripetal force is given by F C = m v 2 r m = mass of the body in the circular motion v = tangential velocity of the body r = radius of the circular path

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