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Tanya Sharma
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Homework Statement
The spring block system lies on a smooth horizontal surface.The free end of the spring
is being pulled towards right with constant speed [itex]v_{0}[/itex]=2m/s.At t=0 sec the spring of constant k=100 N/cm is unstretched and the block has a speed 1m/s to left.Find the maximum extension of the spring is
Homework Equations
The Attempt at a Solution
Initial Energy of the block spring system is [itex]\frac{1}{2}m(1)^{2}[/itex]
Since the spring is being pulled to the right,the spring stretches and a force towards right starts acting on the block.This force retards the block and speed of block decreases to zero and then the block speeds up towards right.The spring stretches to maximum when the block's speed becomes 2m/s .
Energy of the system at the instant of maximum extension should be [itex]\frac{1}{2}m(2)^{2}[/itex] +[itex]\frac{1}{2}k(x)^{2}[/itex]
How should I find value of x? Please help
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