The potential energy of a long spring when stretched by \(2\) cm is \(U\). If the spring is stretched by \(8\) cm, potential energy stored in it will be: 
1. \(16U\)
2. \(2U\)
3. \(4U\)
4. \(8U\)
Subtopic:  Elastic Potential Energy |
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A block of mass \(m\) is moving with initial velocity \(u\) towards a stationary spring of stiffness constant \(k\) attached to the wall as shown in the figure. Maximum compression of the spring is:
(The friction between the block and the surface is negligible).
                 

1. \(u\sqrt{\dfrac{m}{k}}\) 2. \(4u\sqrt{\dfrac{m}{k}}\)
3. \(2u\sqrt{\dfrac{m}{k}}\) 4. \(\dfrac12u\sqrt{\dfrac{k}{m}}\)
 
Subtopic:  Elastic Potential Energy |
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