A 0.750 kg air-track glider is attached to each end of the track by two coil spr

Question

A 0.750 kg air-track glider is attached to each end of the track by two coil springs. It takes a horizontal force of 0.900 N to displace the glider to a new equilibrium position, x= 0.070 m.

Find the effective spring constant of the system.
Answer: 1.29?101N/m

The glider is now released from rest at x= 0.070 m. Find the maximum x-acceleration of the glider.
Answer:1.20 m/s^2

I need help with this two!

Find the x-coordinate of the glider at time t= 0.450T, where T is the period of the oscillation.

Find the kinetic energy of the glider at x=0.00 m.

Please show work, THANKS!

Explanation / Answer

=sqrt(k/m)=4.15

The equation of motion for mass=ACost

Putting t=0.45T=0.9/,

x=-0.0666m

Kinetic energy at cente=0.5kA2=0.0316J

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