A 326- g stationary air-track glider is attached to the end of an air track by a compressible spring with spring constant k = 7.02 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.

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Asked Mar 3, 2019
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A 326- g stationary air-track glider is attached to the end of an air track by a compressible spring with spring constant k = 7.02 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.

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Expert Answer

Step 1

Let m1 (163g) be the mass of the first glider moving with velocity(u1) 1.27 meter per sec and m2  (326 g) the mass of the second glider which is initially at rest (u2=0).

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Step 2

Applying conservation of momentum and energy for the glider before and after collision, the expression for the speed of the second glider after Collision can be found out.

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Step 3

Substitute 163g for m1 326g for m2 and 1.27meter per sec fo...

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