A 520 g air-track glider attached to a spring with spring constant 10 N/m is sitting at rest on a frictionless air track. A 170 g glider is pushed toward it from the far end of the track at a speed of 120 cm/s. It collides with and sticks to the 520 g glider. What are the amplitude and period of the subsequent oscillations?
amplitude m
period s
amplitude m
period s
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0.170 . 1.2 = 0.690 . V
V = 0.296 m/s
KE = 1/2 . 0.296^2 . 0.69 = 0.0302 J
Max energy stored in spring = 1/2 . k . A^2 = 0.5 . 10 . A^2 = 0.0302
A = 0.07766 = 0.78 m
T = 2π √ m/k = 1.65 s
V = 0.296 m/s
KE = 1/2 . 0.296^2 . 0.69 = 0.0302 J
Max energy stored in spring = 1/2 . k . A^2 = 0.5 . 10 . A^2 = 0.0302
A = 0.07766 = 0.78 m
T = 2π √ m/k = 1.65 s