Please help me these two questions, I can not find the answer ~!! A block with m

Question

Please help me these two questions, I can not find the answer ~!!

A block with mass m = 0.2 kg oscillates with amplitude A = 0.4 m at the end of a spring with force constant k = 12 N/m on a frictionless, horizontal surface. Rank the periods of the following oscillating systems greatest to smallest. If any periods are equal, show their equality in your ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) The system is as described above. The amplitude is changed to 1.2 m. The mass is changed to 0.6 kg. The spring now has a force constant of 36 N/m. A small resistive force is added so the motion is underdamped. An oscillator with period 3.3 ms passes through equilibrium at t = 5.6 ms with velocity v = -5.2 m/s. The equation of the oscillator's motion is x(t) = cm cos

Explanation / Answer

we have T= 2pi*sqrt(M/K)

so d<e<a=b<c

2).T=2pi/w

so w= 1903.99

now using the formulae

V^2=w^2(A^2-x^2)

so we have 5.2^2=(1903.99^2*A^2

as x= 0 at equillibrium

so A=7.456*10^-4 cm

so x(t)=7.456*10^-4cos(1903.99t-9.09157)

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