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In: Physics

A 0.158 kg glider is moving to the right on a frictionless, horizontal air track with...

A 0.158 kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.900 m/s . It has a head-on collision with a 0.297 kg glider that is moving to the left with a speed of 2.30 m/s . Suppose the collision is elastic.

A. Find the magnitude of the final velocity of the 0.158 kg glider.

B. Find the magnitude of the final velocity of the 0.297 kg glider.

Solutions

Expert Solution

Let us consider the right side direction as positive and the left side direction as negative.

Mass of the first glider = m1 = 0.158 kg

Mass of the second glider = m2 = 0.297 kg

Initial velocity of the first glider = V1 = 0.9 m/s

Initial velocity of the second glider = V2 = -2.3 m/s (Negative as it directed to the left)

Velocity of the first glider after the collision = V3

Velocity of the second glider after the collision = V4

The collision is elastic.

Coefficient of restitution = e = 1

By conservation of linear momentum,

V3 = -3.28 m/s

The negative sign indicates it is directed to the left.

V4 = -0.08 m/s

The negative sign indicates it is directed to the left.

We are asked for the magnitudes of the final velocities therefore they will be positive.

A) Magnitude of the final velocity of the 0.158 kg glider = 3.28 m/s

B) Magnitude of the final velocity of the 0.297 kg glider = 0.08 m/s

genius_generous answered 2 years ago
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