Question

A spring of the mases2 kg and stiffness 1km/m is dropped from a height of 2m on the ground calculate the maximum distance through which the spring is comprresses

Answer 1

Answer:

Maximum compression is 0.3m

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Explanation:

Explanation:-

Given:-

A spring of mass 2kg

stiffness 1 KN/m

height of 2 m

To find:

=Maximum compression

Calculation:

Assume maximum compression be "x".

So, we can say:

Initial PE = mg(2 + x)

Final PE = ½kx²

Now, as per law of conservation of energy:

After solving the quadratic equations:-

So , maximum compression of spring is upto 0.3 metres.