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
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!
- 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!