A child applies a force F parallel to the z-axis to a 6.00 kg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the 2-component of the force she applies varies with the 2-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.
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Part A
Use the work-energy theorem to find the speed of the sled at 8.0 m.
Part B
Use the work-energy theorem to find the speed of the sled at 12.0 m.
a)
Workdone = area under F-x curve
here workdone staored as kE in object
0.5 m v^2 = area of triangle having base ( 8m). amd height ( 10N)
0.5* 6* v^2 = 0.5* 8* 10
v = 3.651 m/s
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b)
similarly
0.5 m v^2 = area of triangle (base = 12 m, height = 10 N)
0.5* 6 v^2 = 0.5* 12* 10
v = 4.472 m/s
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A child applies a force F parallel to the z-axis to a 6.00 kg sled moving on the frozen surface of a small pond
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