A mass less platform is kept on a light elastic spring, as shown in fig. When a sand particle of 0.1 kg mass is dropped on the pan from a height of 0.24 m, the particle strikes the pan, and the spring compresses by 0.01 m. From what height should the particle be dropped to cause a compression of 0.04 m?
Text Solution
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Let the particle be dropped from a height h and the spring be compressed by y. According to
conservation of mechanical energy, Loss in potential energy of the particle = gain in elastic potential energy of the spring
Now, as the particle and spring remain same, hence
Solving we get, 
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