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

(a) aL² + bL³

(b) 1/2(aL² + bL³)

(c) aL²/2 + bL³/3

(d) 1/2 (aL²/2 + bL³/3)

As, we know that change in potential energy of a system corresponding to a conservative internal force as

Answer 1

Correct option  (c) aL²/2 + bL³/3

Explanation:

Given F = ax   +  bx²

According  to work-energy  theorem, we know that work done in stretching the rubber band by t is

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