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Chapter 7: Q23P (page 172)

In Fig. 7-32, a constant force F→aof magnitude 82.0Nis applied to a 3.00kgshoe box at angleϕ=50.0∘, causing the box to move up a frictionless ramp at constant speed. How much work is done on the box by F→awhen the box has moved through vertical distance h=0.150m?

Short Answer

Expert verified

Work done on the box by applied force is 4.41J.

Step by step solution

01

Given data

  1. The applied force is,Fa=82.0N.
  2. Mass of boxis, m=3.0kg.
  3. Vertical height, h=0.150m.
02

Understanding the concept

By using the concept ofchange in kinetic as well as potential energy, we can find the work done during each step.

Formula:

Potential energy,ΔPE=mgΔh

03

Calculate the work done on the box

There is no change in kinetic energy as the velocity isthesame. So, the work done is only due to a change in potential energy that is work done by the force of gravity.And it is given by,

W=ΔPE=mgΔh

HereΔh is the change in height, which is 0.150m-0=0.150m.

Substitute the values in the above expression, and we get,

W=3kg9.8m/s20.150mW=4.41·1kg·m/s2·m×1J1kg·m2/s2W=4.41J

Thus, work done on the box by applied force is4.41J .

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Most popular questions from this chapter

A ice block floating in a river is pushed through a displacement d→=(15m)i^-(12m)j^along a straight embankment by rushing water, which exerts a force data-custom-editor="chemistry" F→=(210N)i^-(150N)j^ on the block. How much work does the force do on the block during the displacement?

Figure 7-23 shows three arrangements of a block attached to identical springs that are in their relaxed state when the block is centered as shown. Rank the arrangements according to the magnitude of the net force on the block, largest first, when the block is displaced by distance d (a) to the right and (b) to the left. Rank the arrangements according to the work done on the block by the spring forces, greatest first, when the block is displaced by d (c) to the right and (d) to the left.

Spring A is stiffer than spring B (kA>kB). The spring force of which spring does more work if the springs are compressed, (a) the same distance and (b) by the same applied force?

A force F→=(4.0N)i^+cj^acts on a particle as the particle goes through displacement d→=(3.0m)i^-(2.0m)j^. (Other forces also act on the particle.) What is c if the work done on the particle by force F→is (a) 0 , (b) 17 J , and (c) -18 J ?

A 5.0 kg block moves in a straight line on a horizontal frictionless surface under the influence of a force that varies with position as shown in Fig.7-39. The scale of the figure’s vertical axis is set byFs=10.0N. How much work is done by the force as the block moves from the origin to x=8.0cm?
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