Question

a block of mass 6kg resting on a horizontal frictionless surface is attached to a spring with force constant k=210N/m. a force of force is applied to the block in x direction, thereby compressing the spring from its equillibrium length by 0.1m.
1) what is the magnitude of the force?
2) the force is removed and the block starts to oscillate. what is the period of this oscillation?

d to a spring with force constant npressing the spring from its 6, 210 Nm dly, the apang is compress Bd 0 Int the application of force d of this oscillation? (e) (d) sec

Answer 1

Here ,

k = 210 N/m

x = 0.1 m

1) magnitude of force = k * x

magnitude of force = 210 * 0.10

magnitude of force = 21 N

2)

for the period

period of oscillation = 2pi * sqrt(m/k)

period of oscillation = 2pi * sqrt(6/210)

period of oscillation = 1.06 s