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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  • NCS
    Lv 7
    1 month ago
    Favorite 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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