As shown in the figure below, a box of mass m = 67.0 kg (initially at rest) is pushed a distance d = 65.0 m across a rough warehouse floor by an applied force of FA = 216 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is 0.100. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.) FOUND: (a) work done by the applied force WA = 12159   J (b) work done by the force of gravity Wg = 0 J (c) work done by the normal force WN = 0 J   SOLVE FOR: (d) work done by the force of friction Wf =  J (e) Calculate the net work on the box by finding the sum of all the works done by each individual force. WNet =  J (f) Now find the net work by first finding the net force on the box, then finding the work done by this net force. WNet =  J

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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As shown in the figure below, a box of mass m = 67.0 kg (initially at rest) is pushed a distance d = 65.0 m across a rough warehouse floor by an applied force of FA = 216 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is 0.100. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.)

FOUND:

(a)

work done by the applied force
WA = 12159   J
(b)
work done by the force of gravity
Wg = 0 J
(c)
work done by the normal force
WN = 0 J
 
SOLVE FOR:
(d)
work done by the force of friction
Wf =  J
(e)
Calculate the net work on the box by finding the sum of all the works done by each individual force.
WNet =  J
(f)
Now find the net work by first finding the net force on the box, then finding the work done by this net force.
WNet =  J
The image shows a diagram of a block on a surface that includes a rough section. The block is depicted moving to the right, and there is an arrow labeled \( \vec{F_A} \) representing an applied force at an angle of \( 30^\circ \) above the horizontal. 

- The force \( \vec{F_A} \) is shown acting on the block with its direction indicated by the arrow pointing towards the block. 
- The surface beneath the block has a labeled section marked as "rough surface," indicating an area with friction.
- The rough surface spans a distance labeled \( d \).

This diagram might be used in a physics context to study the effects of friction and applied forces on the motion of an object.
Transcribed Image Text:The image shows a diagram of a block on a surface that includes a rough section. The block is depicted moving to the right, and there is an arrow labeled \( \vec{F_A} \) representing an applied force at an angle of \( 30^\circ \) above the horizontal. - The force \( \vec{F_A} \) is shown acting on the block with its direction indicated by the arrow pointing towards the block. - The surface beneath the block has a labeled section marked as "rough surface," indicating an area with friction. - The rough surface spans a distance labeled \( d \). This diagram might be used in a physics context to study the effects of friction and applied forces on the motion of an object.
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