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Chapter 7: 8P (page 171)

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

Short Answer

Expert verified

The work done on the block during the displacement is 5.0脳103J.

Step by step solution

01

Given data

  1. Displacement, d鈫�=15mi^-12mj^.
  2. Force, F鈫�=210Ni^-150Nj^.
02

Understanding the concept

Using the formula ofthework done due to force over a distance, we can find the work done on the block during the displacement.

Formula:

W=F鈫�.d鈫�

03

Calculate the work done by the force on the block during the displacement

Work done can be calculated as,

W=F鈫�.d鈫�

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

W=210Ni^-150Nj^.15mi^-12mj^W=3150+1800N.mW=4950N.mW=5.0脳103J

Therefore, the work done on the block during the displacement is 5.0脳103J.

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Most popular questions from this chapter

(a) at a certain instant, a particle-like object is acted on by a force F鈫�=(4.0鈥�N)i^-(2.0鈥�N)j^+(9.0鈥�N)k^ while the object鈥檚 velocity is v鈫�=-(2.0鈥�m/s)i^+(4.0鈥�m/s)k^. What is the instantaneous rate at which the force does work on the object?

(b) At some other time, the velocity consists of only a y component. If the force is unchanged and the instantaneous power is -12W , what is the velocity of the object?

Figure 7-16a shows two horizontal forces that act on a block that is sliding to the right across a frictionless floor. Figure F-16b shows three plots of the block鈥檚 kinetic energy K versus time t. Which of the plots best corresponds to the following three situations:(a)F1=F2,(b)F1>F2,(c)F1<F2,?

A 12.0 Nforce with a fixed orientation does work on a particle as the particle moves through the three-dimensional displacement d鈫�=(2.00i^-4.00j^+30.0k^). What is the angle between the force and the displacement if the change in the particle鈥檚 kinetic energy is (a) +30.0 J and (b) -30.0 J ?

A can of bolts and nuts is pushed 2.00 m along an x axis by a broom along the greasy (frictionless) floor of a car repair shop in a version of shuffleboard. Figure 7-26 gives the work Wdone on the can by the constant horizontal force from the broom, versus the can鈥檚 position x. The scale of the figure鈥檚 vertical axis is set by WS=6 J. (a) What is the magnitude of that force? (b) If the can had an initial kinetic energy of 3.00 J, moving in the positive direction of the x axis, what is its kinetic energy at the end of the 2.00 m?

Figure 7-21ashows four situations in which a horizontal force acts on the same block, which is initially at rest. The force magnitudes are F2=F4=2f1=2F3. The horizontal component vXof the block鈥檚 velocity is shown in figure 7-21bfor the four situations. (a) Which plot in figure 7-21b best corresponds to which force in fig. 7-21a? (b) Which plot in figure 7-21c (for kinetic energy K versus time t) best corresponds to which plot in fig. 7-21b ?
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