Question

A student attaches a ball to the end of a string $0.600 \mathrm{~m}$ in length and then swings the ball in a vertical circle. The speed of the ball is $4.30 \mathrm{~m} / \mathrm{s}$ at its highest point and $6.50 \mathrm{~m} / \mathrm{s}$ at its lowest point. Find the acceleration of the ball when the string is vertical and the ball is at (a) its highest point and (b) its lowest point.

Name: Problem 34, Chapter 4: Fundamentals of Physics
Uploaded: 2021-07-19T04:02:36-08:00
Duration: 1 min 35 s
Channel: Shelby Mohamed
Description: A student attaches a ball to the end of a string 0.600 m in length and then swings the ball in a vertical circle. The speed of the ball is 4.30 m / s at its highest point and 6.50 m / s at its lowest point. Find the acceleration of the ball when the string is vertical and the ball is at (a) its highest point and (b) its lowest point.

    A student attaches a ball to the end of a string $0.600 \mathrm{~m}$ in length and then swings the ball in a vertical circle. The speed of the ball is $4.30 \mathrm{~m} / \mathrm{s}$ at its highest point and $6.50 \mathrm{~m} / \mathrm{s}$ at its lowest point. Find the acceleration of the ball when the string is vertical and the ball is at
(a) its highest point and (b) its lowest point.

Fundamentals of Physics

David Halliday,… 8th Edition

Chapter 4, Problem 34

Instant Answer

Solved by Expert Shelby Mohamed

07/19/2021

Step 1

600 \mathrm{~m}$, the speed of the ball at its highest point as $4.30 \mathrm{~m} / \mathrm{s}$, and the speed of the ball at its lowest point as $6.50 \mathrm{~m} / \mathrm{s}$. We are asked to find the acceleration of the ball at its highest and lowest points. Show more…

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A student attaches a ball to the end of a string $0.600 \mathrm{~m}$ in length and then swings the ball in a vertical circle. The speed of the ball is $4.30 \mathrm{~m} / \mathrm{s}$ at its highest point and $6.50 \mathrm{~m} / \mathrm{s}$ at its lowest point. Find the acceleration of the ball when the string is vertical and the ball is at (a) its highest point and (b) its lowest point.

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Key Concepts

Vertical Circular Motion

Vertical circular motion involves an object moving along a circular path in a vertical plane, where the effects of gravity play a significant role. In this context, the net force acting as the centripetal force includes contributions from both the tension in the string (or other constraining forces) and the gravitational force, which can either aid or oppose the tension depending on the position of the object in the circle.

Centripetal Acceleration

Centripetal acceleration is the acceleration that is always directed toward the center of a circular path. It is responsible for changing the direction of the velocity of an object moving in a circle, rather than changing its speed. The magnitude of centripetal acceleration can be determined using the formula a = v²/r, where v is the instantaneous speed and r is the radius of the circular path.

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