Explanation Given: Work done by the force in moving a particle from ( 0 , 0 ) to ( 4 , 0 ) equals 2. Calculation: Work = F x x = displacement in force direction = ( 0 − 0 ) 2 + ( 4 − 0 ) 2 = 4 units in the positive x direction. 2 = F × 4 F = 2 4 = 1 2 N (the horizontal component of the force)...

Precalculus Enhanced with Graphing Utilities (7th Edition)

7th Edition

ISBN: 9780134119281

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Question

Chapter 9.5, Problem 37AE

To determine

To find: The acute angle that a constant unit force vector makes with the positive $x -axis$ .

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Chapter 9.5, Problem 36AE

Chapter 9.5, Problem 38AE

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An ant walks due east at a constant speed of 2 mi/hr on a sheet of paper that rests on a table. Suddenly, the sheet of paper starts moving due southeast at v2 mi/hr. The following is a correct solution for finding the resultant speed and direction of the ant relative to the table. Set up a coordinate system so that the positive y-axis corresponds to north and the positive x-axis corresponds to east. Then the velocity vector for the ant relative to the paper is given by (2,0). The velocity vector for the paper relative to the table is given by (v2 cos (-4), v2 sin (-5))= (1, –1). Therefore, the resultant velocity vector is given by (2,0) + (1, –1) = (3, –1). The speed of the ant relative to the table is v32 + 1² = v10 mi/hr and the direction the ant is traveling relative to the table is found by (금) using tan 0 = -1 where 0 represents the angle made with the positive r-axis. In this case 0 = arctan 3 3

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Chapter 9 Solutions

Precalculus Enhanced with Graphing Utilities (7th Edition)

Ch. 9.1 - Plot the point whose rectangular coordinates are (...Ch. 9.1 - To complete the square of x 2 +6x , add ______ .Ch. 9.1 - If P=( x,y ) is a point on the terminal side of...Ch. 9.1 - tan 1 ( 1 )= ______ .Ch. 9.1 - Prob. 5CV Ch. 9.1 - Prob. 6CV Ch. 9.1 - For the point with polar coordinates ( 1, 2 ) ,...Ch. 9.1 - The point ( 5, 6 ) can also be represented by...Ch. 9.1 - True or False In the polar coordinates ( r, ) , r...Ch. 9.1 - True or False The polar coordinates of a point are...

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The acute angle that a constant unit force vector makes with the positive x -axis .

Solution Summary: The author explains the acute angle that a constant unit force vector makes with the positive x -axis.

To find: The acute angle that a constant unit force vector makes with the positive $x -axis$ .

Want to see the full answer?

Chapter 9 Solutions

The acute angle that a constant unit force vector makes with the positive x -axis .

Solution Summary: The author explains the acute angle that a constant unit force vector makes with the positive x -axis.

To find: The acute angle that a constant unit force vector makes with the positive x-axis .

Want to see the full answer?

Chapter 9 Solutions

To find: The acute angle that a constant unit force vector makes with the positive $x -axis$ .