1. A spring oriented vertically is attached to a hard horizontal surface as in t

Question

1. A spring oriented vertically is attached to a hard horizontal surface as in the figure below. The spring has a force constant of 1.37 kN/m. How much is the spring compressed when a object of mass m = 2.95 kg is placed on top of the spring and the system is at rest?

2. 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 45.0 cm, estimate the force constant of the spring.

Explanation / Answer

1) kx = mg

x = 2.95*9.81/1.37E3=0.0211 m

2) Ei = Ef

1/2 kx^2 = m g h

0.5*k*.02^2 = .107*9.81*.45

k=2362

3) 1/2 mv^2 = 1/2 kx^2

1000*v^2 = 5.55E6*.0309^2

v=2.3 m/s

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