A child applies a force F parallel to the x -axis to a 5.00-kg sled moving on th

Question

A child applies a force F  parallel to the x-axis to a 5.00-kg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the x-component of the force she applies varies with the x-coordinate of the sled as shown in figure (Figure 1) . Suppose the sled is initially at rest at x=0. You can ignore friction between the sled and the surface of the pond.

Part A

Use the work-energy theorem to find the speed of the sled at 3.0 m .

Part B

Use the work-energy theorem to find the speed of the sled at 9.0 m .

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Figure 1 of 1

A child applies a force F  parallel to the x-axis to a 5.00-kg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the x-component of the force she applies varies with the x-coordinate of the sled as shown in figure (Figure 1) . Suppose the sled is initially at rest at x=0. You can ignore friction between the sled and the surface of the pond.

Part A

Use the work-energy theorem to find the speed of the sled at 3.0 m .

Part B

Use the work-energy theorem to find the speed of the sled at 9.0 m .

SubmitMy AnswersGive Up

Provide FeedbackContinue

Figure 1 of 1

Explanation / Answer

A) KE = work done

v = sqrt(2KE/m)

= sqrt((2*0.5*3*3*10/8)/5)

= 1.5 m/s

B) v = sqrt((2*(0.5*8*10+0.5*1*17.5)/5))

= 4.416 m/s answer

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