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Question about Spring constants?
A 79.0 kg student is standing atop a spring in an elevator as it accelerates upward at 3.80 m/s2. The spring constant is 2100 N/m. By how much (in m) is the spring compressed, assuming that the local acceleration due to gravity is 9.80 m/s2?
1 Answer
- kuiperbelt2003Lv 710 years agoFavorite Answer
the spring will record the normal force of the student standing atop it
we find the normal force by applying newton's second law to the student
sum of forces = m a
normal force - weight = m a
N - mg = ma
N = m(g+a) = 79kg(9.8m/s/s+3,8m/s/s) = 1074.4N
this is the force on the spring, so its compression is
F = k x => x = F/k = 1074.4N/2100N/m = 0.51m