A child applies a force parallel to the x-axis to a 10.0-kg sled moving on the f

Question

A child applies a force parallel to the x-axis to a 10.0-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 the figure . Calculate the work done by the force when the sled moves from x = 0 to x = 8.0 m. Express your answer using two significant figurs. Calculate the work done by the force when the sled moves from x = 8.0 m to x = 12.0 m. Express your answer using two significant figurs. Calculate the work done by the force when the sled moves from x = 0 to x = 12.0 m. A child applies a force parallel to the x-axis to a 10.0-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 the figure . Calculate the work done by the force when the sled moves from x = 0 to x = 8.0 m. Express your answer using two significant figurs. Calculate the work done by the force when the sled moves from x = 8.0 m to x = 12.0 m. Express your answer using two significant figurs. Calculate the work done by the force when the sled moves from x = 0 to x = 12.0 m.

Explanation / Answer

work done=integral of Fdx
now work done in moving from 0 to 8= area under the curve=1/2*8*10=40J

now work done in moving from 8 to 12 is area under curve from 8 to 12
work done=0.5*10*4
=20

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