A mass m = 2.0 kg is attached to a spring having a force constant k = 290 N/m as in the figure. The mass is displaced from its equilibrium position and released. Its frequency of oscillation (in Hz) is approximately
A)12.
B)0.50.
C)0.010.
D)1.9.
E)0.080.

Question

A mass m = 2.0 kg is attached to a spring having a force constant k = 290 N/m as in the figure. The mass is displaced from its equilibrium position and released. Its frequency of oscillation (in Hz) is approximately ​  ​
A)12. 
B)0.50. 
C)0.010. 
D)1.9. 
E)0.080.

Quizplus · Accepted Answer

The frequency of oscillation of a mass-spring system can be calculated using the formula:

f = 1/2π √(k/m)

where k is the force constant of the spring and m is the mass of the object attached to the spring.

In this problem, k = 290 N/m and m = 2.0 kg, so:

f = 1/2π √(290/2.0)
  ≈ 1.9 Hz

Therefore, the answer is D) 1.9.

A Mass M = 2