A child\'s toy consists of a piece of plastic attached to a spring in the figure

Question

A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 107 g and rises to a maximum height of 70.0 cm, estimate the force constant of the spring.
N/m

A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 107 g and rises to a maximum height of 70.0 cm, estimate the force constant of the spring.

Explanation / Answer

0.5 kx^2 = mgh

Thus, k = 2mgh / x^2 = 3673.84 N/m is the alue of spring constant.

h = 70 cm = 0.70 m

x = 2 cm = 0.02m

m = 0.107 kg

g = 9.81 m/s^3

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