Question

A force of 40 N is required to hold a spring that has been stretched from its natural length of 10 cm to a length of 15 cm. How much work is done in stretching the spring from 15 cm to 18 cm

Answer 1

0.36 J of work is done in stretching the spring from 15 cm to 18 cm.

To find the correct answer, we need to know about the work done to strech a string.

What is the work required to strech a string?

• Mathematically, the work done to strech a string is given as 1/2 ×K×x².
• K is the spring constant.

What will be the spring constant, if 40N force is required to hold a 10 cm to 15 cm streched spring?

• The force experienced by a streched spring is given as Kx. x is the length of the spring streched from its natural length.
• Then K = Force / x.
• Here x = 15 - 10 = 5 cm = 0.05 m
• K = 40/0.05 = 800N/m.

What will be the work required to strech that spring from 15 cm to 18 cm?

• Work done = 1/2×k×x²
• Here x= 18-15=3cm or 0.03 m
• So, W= 1/2×800×0.03² = 0.36 J.

Thus, we can conclude that the work done is 0.36 J.

Learn more about the spring force here:

brainly.com/question/14970750

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