Question

Compute the work (in joules) required to compress a spring 7 cm more when it is already compressed 6 cm, assuming that the spring constant is k = 180 N/m. (Use decimal notation. Give your answer to two decimal places.)

Answer 1

The work required to compress the spring 7 cm more is 1.053 J.

Step-by-step explanation:

To calculate the work required to compress a spring, we can use the formula W = 1/2kx^2, where W is the work done, k is the spring constant, and x is the displacement.

In this case, we want to find the work required to compress the spring an additional 7 cm, when it is already compressed 6 cm. So the total displacement would be 6 cm + 7 cm = 13 cm. The spring constant is given as k = 180 N/m. Plugging these values into the formula, we get:

W = 1/2 * 180 N/m * (0.13 m)^2 = 1.053 J

Therefore, the work required to compress the spring 7 cm more is 1.053 J.

Answer 2

Step-by-step explanation:

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