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Use Hooke's Law to determine the variable force in the spring problem.

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Use Hooke's Law to determine the variable force in the spring problem.

A force of 250 newtons stretches a spring 30 centimeters. How much work is done in stretching the spring from 20 centimeters to 50 centimeters?

asked Feb 17, 2015 in CALCULUS by anonymous
reshown Feb 17, 2015 by goushi

1 Answer

0 votes

Step 1:

Force required to stretch the spring 30 cm is 250 newtons.

Therefore N, cm.

Hooks  law:

Substitute ,   in above formula.

Force required to stretch the spring units is .

substitute in above formula.

.

Work done by a variable force, as the object is moved from to is .

Here, we need to find work done in stretching the spring from 20 cm to 50 cm.

So, cm and cm.

Step 2:

Substitute  cm , cm  and in work done formula.

  N-cm

Work done is W =87.50 N-m.

Solution:

Work done is W=87.50 N-m.
answered Feb 17, 2015 by cameron Mentor

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