A block of mass m initaially at rest is dropped from a height h onto a spring whose force constant is k. Fjnd the mximum distance x through which the spring will be compressed?
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mgh=1/2kx^2
(According to conservation of energy, the potential energy block at h height will totally convert to potential energy of spring at maximum compression)
x^2=2mgh/k
x=√2mgh/√k
Therefore maximum compression=√2mgh/√k
(According to conservation of energy, the potential energy block at h height will totally convert to potential energy of spring at maximum compression)
x^2=2mgh/k
x=√2mgh/√k
Therefore maximum compression=√2mgh/√k
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