A 326- g stationary air-track glider is attached to the end of an air track by a

Question

A 326- g stationary air-track glider is attached to the end of an air track by a compressible spring with spring constant k = 6.42 N/m (see the figure). A 163- g glider moving at 1.27 m/s collides elastically with the stationary glider. How far does the spring compress? Assume that the air track is very much heavier than the gliders.

jonesf8_21.gif A 326- g stationary air-track glider is attached to the end of an air track by a compressible spring with spring constant k = 6.42 N/m (see the figure). A 163- g glider moving at 1.27 m/s collides elastically with the stationary glider. How far does the spring compress? Assume that the air track is very much heavier than the gliders.

Explanation / Answer

apply linear kinetioc energy   = grav pot energy

so

0.5 mv^2 = 0.5 kx^2

s0

x^2 = 0.163 * 1.27/(6.42 * 0.326)

x^2 = 0.0989

x = 0.314 m or 31.4 cm --------<<<<<<<<<<<<Answer

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