JEE Main | 2014Work, Power and EnergyHard

Question

When a rubber-band is stretched by a distance x, it exerts a restoring force of magnitude F = ax + bx2 where a and b are constants. The work done in stretching the unstretched rubber-band by L is :

Options

A.aL2 + bL3
B.(aL2 + bL3)
C.
D.

Solution

∫dW = ∫F. dl
W = ∫0L ax dx + ∫0Lbx2dx =

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