A 0.41-kg object connected to a light spring with a force constant of 18.6 N/m oscillates on a frictionless horizontal surface. The spring is compressed 4.0 cm and released from rest.
To solve this problem, we can use the equation for the period of oscillation of an object connected to a spring.
The period (T) of an object oscillating on a light spring is given by:
T = 2π√(m/k)
where m is the mass of the object and k is the force constant of the spring.
Given:
m = 0.41 kg (mass of the object)
k = 18.6 N/m (force constant of the spring)
To find the period of oscillation, substitute these values into the formula:
T = 2π√(0.41 kg / 18.6 N/m)
Calculating this value will give the period of oscillation of the object.