A car with bad shocks bounces up and down with a period of 1.51 s after...
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A car with bad shocks bounces up and down with a period of 1.51 s after hitting a bump. The car has a mass of 1 600 kg and is supported by four springs of force constant k. What is k for each spring?
a. 6.9E+3 N/m
b. 1.7E+3 N/m
c. 8.2E+2 N/m
d. 3.5E+3 N/m
e. 1.7E+3 N/m
Homework Answers
To solve this problem, we need to use the formula for the period of oscillation of a mass-spring system:
T = 2π √(m/k)
where T is the period, m is the mass, and k is the force constant of the spring.
Given: Period T = 1.51 s Mass m = 1,600 kg
We can rearrange the formula to solve for k:
k = (4π²m) / T²
Substituting the given values into the formula, we can calculate k:
k = (4π² * 1,600 kg) / (1.51 s)²
k ≈ 1,773.13 N/m
Therefore, the force constant (k) for each spring is approximately 1,773.13 N/m.
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