Class 11PhysicsWork, Energy, Power and CollisionWork Done by Variable Force and Force-Displacement Graph
MediumWhen a rubber band is stretched by a distance $x$,it exerts a restoring force $F = ax + bx^2$,where $a$ and $b$ are constants. The work done in stretching the rubber band by a distance $L$ from its unstretched position is:
- A$\frac{1}{2}(aL^2 + bL^3)$
- B$\frac{aL^2}{2} + \frac{bL^3}{3}$
- C$\frac{aL^2}{3} + \frac{bL^3}{5}$
- D$\frac{aL^2}{7} + \frac{bL^3}{9}$
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