When a force of 19 N is applied to a spring, it elongates 0.085 m. Determine the period of oscillation of a 4.0-kg object suspended from this spring.
A)0.8 s
B)1.2 s
C)3.1 s
D)4.1 s
E)6.3 s

Question

Quizplus · Accepted Answer

The period of oscillation of a spring-mass system is given by:T = 2π√(m/k)where m is the mass of the object and k is the spring constant.The spring constant is given by:k = F/xwhere F is the force applied to the spring and x is the elongation of the spring.In this case, F = 19 N and x = 0.085 m, so:k = 19 N / 0.085 m = 223.5 N/mThe mass of the object is 4.0 kg, so:T = 2π√(4.0 kg / 223.5 N/m) = 0.8 sTherefore, the correct answer is A.

When a Force of 19 N Is Applied to a Spring