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## Homework Statement

A 1.450 kg air-track glider is attached to each end of the track by two coil springs. It takes a horizontal force of 0.700 N to displace the glider to a new equilibrium position, x= 0.290 m.

a.) Find the effective spring constant of the system.

b.) The glider is now released from rest at x= 0.290 m. Find the maximum x-acceleration of the glider.

c.) Find the x-coordinate of the glider at time t= 0.490T, where T is the period of the oscillation.

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

## The Attempt at a Solution

a.) 2.41 N/m

b.) v = A [tex]\sqrt{k/m}[/tex]

v = 0.290 [tex]\sqrt{2.41/1.450}[/tex]

v = 0.374 m/s^2

Incorrect. Where did I mess up?

c.) x(t) = 0.290 * sin (w*t)

t = 0.490T

T = 2t * pi / w = 0.98 * pi / w

x(t) = 0.290 sin (w * 0.98 pi / w)

x(t) = 0.290 sin (0.98 pi)

x(t) = - 0.0156 m

Incorrect. Help?

d.) 0.102 J