Question

A 100 kg weight falls 10 cm on a 10 kg/cm spring. The spring will deflect by

Answer 1

Answer:

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Answer 2

The spring will deflect by 44.7 cm .

Given :

Mass of object , m = 100 kg .

Height from which it falls , h = 10 cm = 0.1 m .

Spring constant , k = 10 N/cm = 1000 N/m .

We know , by conservation of energy :

Potential energy = Energy stored in spring

$mgh=\dfrac{kx^2}{2}$

Putting all values in above equation .

We get ,

$100\times 10\times 0.1=\dfrac{1000x^2}{2}\\\\x=0.447\ m\ or \ x = 44.7 \ cm$

Hence , this is the required solution .

Learn More :

Conservation of energy

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