A child applies a force F parallel to the x-axis to a 7.00-kg sled moving on the

Question

A child applies a force F parallel to the x-axis to a 7.00-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.Use the work-energy theorem to find the speed of the sled at 3.0m Use the work-energy theorem to find the speed of the sled at 1.0m

Part B

A child applies a force F parallel to the x-axis to a 7.00-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.Use the work-energy theorem to find the speed of the sled at 3.0m Use the work-energy theorem to find the speed of the sled at 1.0m Part B Use the work-energy theorem to find the speed of the sled at 9.0m

Explanation / Answer

F/10 = 1/8

F = 1.25

W = 0.5*F*x = 0.5*m*v^2

1.25*1 = 7*v^2

v = 0.422m/s

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W = 225 = 0.5*m*v^2

v = 8.01 m/s

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