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Question

A particle, starting at the origin, experiences a variable force defined by F(x) = 3x 2 , causing it to move along the x-axis. How much work is done on the particle from its starting point to x = 5 ?

A
100 J
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B
125 J
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C
150 J
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D
135 J
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Solution

The correct option is B 125 J

We use our equation for the position-dependent forces:
W= xfx0F(x)dx=503x2dx=[x3]05 = 53 = 125 J
The force does 125 Joules of work.


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