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Physics / Physics with MasteringPhysics 4 / Chapter 7 / Problem 85GP

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

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A block rests on a horizontal frictionless surface. A

Chapter 7, Problem 85GP

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QUESTION:

A block rests on a horizontal frictionless surface. A string is attached to the block, and is pulled with a force of 45.0 N at an angle \(\theta\) above the horizontal, as shown in Figure 7–23. After the block is pulled through a distance of 1.50 m, its speed is 2.60 m/s, and 50.0 J of work has been done on it. (a) What is the angle \(\theta\)? (b) What is the mass of the block?

Equation Transcription:

$\theta{}$

$\theta{}$

$F=45.0\ N$

$v=0$

$v=2.60\ m/s$

Text Transcription:

theta

theta

F=45.0 N

v=0

v=2.60 m/s

Questions & Answers

QUESTION:

A block rests on a horizontal frictionless surface. A string is attached to the block, and is pulled with a force of 45.0 N at an angle \(\theta\) above the horizontal, as shown in Figure 7–23. After the block is pulled through a distance of 1.50 m, its speed is 2.60 m/s, and 50.0 J of work has been done on it. (a) What is the angle \(\theta\)? (b) What is the mass of the block?

Equation Transcription:

$\theta{}$

$\theta{}$

$F=45.0\ N$

$v=0$

$v=2.60\ m/s$

Text Transcription:

theta

theta

F=45.0 N

v=0

v=2.60 m/s

ANSWER:

Step 1 of 4

Here we have to calculate the angle and mass of the given block and string system.

Given data,

Force, $F=45\ N$

Displacement, $d=1.5\ m$

Initial velocity, $u=0$

Final velocity, $v=2.6\ m/s$

Work done, $W=50\ J$

To find,

Angle between force and displacement, $\theta{}=?$
Mass of the block, $m=?$

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