A50-cm-long spring is suspended from the ceiling. a 290 g mass is connected to the end and held at rest with the spring unstretched. the mass is released and falls, stretching the spring by 30 cm before coming to rest at its lowest point. it then continues to oscillate vertically.
(a) what is the spring constant? (k=)
(b) what is the amplitude of the oscillation?
(c) what is the frequency of the oscillation?

a) Spring Constant

b) Amplitude of the oscillation

c)Frequency o the oscillation

Explanation:

Given:

a)

When Finally the mass comes to rest after 30 cm of stretching in spring then work done by all the forces is equal to the change in kinetic Energy of the of the mass

b) The Amplitude of the oscillation is 0.3 m

c) Let Frequency of the oscillation of the mass be which is given by

when it gains or loses electrons

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day