A spring of mass 2kg and stiffness 1 KN/m is dropped from a height of 2 m on the ground . calculate the maximum distance through which the spring is compressed
Answers
Answered by
16
Given:
A spring of mass 2kg and stiffness 1 KN/m is dropped from a height of 2 m on the ground.
To find:
Max compression?
Calculation:
Let max compression be "x".
Now, 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 , max compression of spring is 0.3 metres.
Answered by
7
Answer:
To find:-
Maximum compression
Solution:-
Let it be y
Now,
Initial PE=mg(2+y)
Final PE=1/2ky^2
According to Law of conservation of energy:-
- Factoring
- Take y Positive
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