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# What is the force constant of the spring?

A child’s toy consists of plastic attached to

a spring. The spring is compressed against

the floor a distance of 1.58 cm, and the toy is

released.

The acceleration of gravity is 9.8 m/s^2

If the toy has a mass of 130 g and rises to

a maximum height of 64.9 cm, estimate the

force constant of the spring.

Answer in units of N/m.

Please include an explanation!

### 1 Answer

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- NCSLv 71 month agoFavorite Answer
Welcome to Yahoo!Answers.

Does the 64.9 cm include the 1.58 cm?

Assuming it does, then

½kx² = mgh

½ * k * (0.0158m)² = 0.130kg * 9.8m/s² * 0.649m

k = 6620 N/m ◄

If it doesn't, then

½kx² = mg(x+h)

½ * k * (0.0158m)² = 0.130kg * 9.8m/s² * (0.649m + 0.0158m)

k = 6790 N/m

but I'd go with the other one.

Hope this helps!

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