As shown in the figure below, a box of mass m = 51.0 kg (initially at rest) is pushed a distance d = 55.0 m across a rough warehouse floor by an applied force of FA = 246 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between

College Physics
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Author:Raymond A. Serway, Chris Vuille
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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 = 51.0 kg (initially at rest) is pushed a distance d = 55.0 m across a rough warehouse floor by an applied force of FA = 246 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is μk = 0.113. Determine the following. (For parts (a) through (f), give your answer to the nearest multiple of 10.)

Calculate the value of the normal force.
FN = _______N
 
Calculate the magnitude friction force.
Ff = ________N
 
Calculate work done by the force of gravity
Wg = ________J
 
Calculate the work done by the normal force
WN = ________J
 
Calculate the work done by the force of friction.
Wf = _______J
 
Calculate the done by the applied force.
WA = _________J
The image depicts a physics scenario with a block on a horizontal surface. The block is acted upon by a force \(\vec{F}_A\) directed at an angle of \(30^\circ\) above the horizontal. The surface in front of the block is labeled as a "rough surface," indicating friction. The rough surface spans a distance denoted by \(d\), marked with a double-headed arrow underneath it. The arrow representing \(\vec{F}_A\) suggests the direction and angle of the applied force on the block. This setup can be used to study the effects of forces and friction on motion, especially in calculating the work done against friction as the block moves across the rough surface.
Transcribed Image Text:The image depicts a physics scenario with a block on a horizontal surface. The block is acted upon by a force \(\vec{F}_A\) directed at an angle of \(30^\circ\) above the horizontal. The surface in front of the block is labeled as a "rough surface," indicating friction. The rough surface spans a distance denoted by \(d\), marked with a double-headed arrow underneath it. The arrow representing \(\vec{F}_A\) suggests the direction and angle of the applied force on the block. This setup can be used to study the effects of forces and friction on motion, especially in calculating the work done against friction as the block moves across the rough surface.
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