Chapter 8: Q.24 (page 199)

A $500 g$ ball swings in a vertical circle at the end of a $1.5 - m$ -long string. When the ball is at the bottom of the circle, the tension in the string is $15 N$ . What is the speed of the ball at that point?

Short Answer

Expert verified

The speed of the ball at that point is $5.5 m / s$ .

Step by step solution

Given Information

A $500 g$ ball swings in a vertical circle at the end of a $1.5 - m$ -long string.

Explanation

From the information given in the question, we obtain that:

$m -$ The mass of the ball $= 500 g$

$r -$ The radius of the string is $= 1.5 m$

$T -$ The tension in the ring is $15 N$

$g -$ The acceleration due to the gravity $= 9.8 m / s^{2}$

The tension in the string when the body is at the bottom is given by:

$T = \frac{m v^{2}}{r} + m g$

role="math" localid="1648313980593" $15 = \frac{0.5 v^{2}}{1.5} + 0.5 \times 9.8$

$15 - 4.9 = \frac{0.5 v^{2}}{1.5}$

$10.1 \times 1.5 = 0.5 v^{2}$

$v = 5.5 m / s$

Final Answer

The speed of the ball at the point is $5.5 m / s$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A $500 g$ ball swings in a vertical circle at the end of a $1.5 - m$ -long string. When the ball is at the bottom of the circle, the tension in the string is $15 N$ . What is the speed of the ball at that point?

Short Answer

Step by step solution

Given Information

Explanation

Final Answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Medical Physics

Modern Physics

Electricity and Magnetism

Energy Physics

Thermodynamics

Circular Motion and Gravitation

Study anywhere. Anytime. Across all devices.

A 500g ball swings in a vertical circle at the end of a 1.5-m-long string. When the ball is at the bottom of the circle, the tension in the string is 15N. What is the speed of the ball at that point?

Short Answer

Step by step solution

Given Information

Explanation

Final Answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Medical Physics

Modern Physics

Electricity and Magnetism

Energy Physics

Thermodynamics

Circular Motion and Gravitation

Study anywhere. Anytime. Across all devices.

A $500 g$ ball swings in a vertical circle at the end of a $1.5 - m$ -long string. When the ball is at the bottom of the circle, the tension in the string is $15 N$ . What is the speed of the ball at that point?