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Physics / Physics: Principles with Applications 6 / Chapter 6 / Problem 77GP

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

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A ball is attached to a horizontal cord of length whose

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QUESTION:

A ball is attached to a horizontal cord of length $L$ whose other end is fixed (Fig. $6-43$ ). $(a)$ If the ball is released, what will be its speed at the lowest point of its path? (b) A peg is located a distance $h$ directly below the point of attachment of the cord. If \(h=0.80 L\) what will be the speed of the ball when it reaches the top of its circular path about the peg?

Equation Transcription:

$h=0.80L$

Text Transcription:

h=0.80 L

Questions & Answers

QUESTION:

A ball is attached to a horizontal cord of length $L$ whose other end is fixed (Fig. $6-43$ ). $(a)$ If the ball is released, what will be its speed at the lowest point of its path? (b) A peg is located a distance $h$ directly below the point of attachment of the cord. If \(h=0.80 L\) what will be the speed of the ball when it reaches the top of its circular path about the peg?

Equation Transcription:

$h=0.80L$

Text Transcription:

h=0.80 L

ANSWER:

Step-by-step solution

Step 1 of 2

a)

The potential energy of the ball at its initial position = mgL.

Its speed at the lowest point of its path is given from the principle of conservation

of energy as:

We put v on the left side of the equation and everything else on the right side and we take square root of both sides and we get:

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