A 0.156 kg glider is moving to the right on a frictionless, horizontal air track

Question

A 0.156 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 0.307 kg glider that is moving to the left with a speed of 2.17 m/s. Suppose the collision is elastic.

(a) Find the magnitude of the final velocity of the 0.156 kg glider.
(b) Find the direction of the final velocity of the 0.156 kg glider. (to the right or left)
(c) Find the magnitude of the final velocity of the 0.307 kg glider.
(d) Find the direction of the final velocity of the 0.307 kg glider. (to the right or left)

Explanation / Answer

(a)m1 = 0.156 lg m2 = 0.307kg u1 = 0.9m/s u2 = -2.17m/s

v1 = (m1 - m2)/(m1 + m2) u1 + 2m2u2/(m1 + m2) = 3.17 m/s

(b)toward left

(c) v2 = (m2 - m1)/(m2 + m1) u2 + 2m1u1/(m1 + m2) = 0.1m/s

(d) The direction is in the left side.

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