A 0.154 kg glider is moving to the right on a frictionless, horizontal air track

Question

A 0.154 kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.780 m/s . It has a head-on collision with a 0.308 kg glider that is moving to the left with a speed of 2.12 m/s . Suppose the collision is elastic. A)Find the magnitude of the final velocity of the 0.154 kg glider b)Find the direction of the final velocity of the 0.154 kg glider. c)Find the magnitude of the final velocity of the 0.308 kg glider d)Find the direction of the final velocity of the 0.308 kg glider.

Explanation / Answer

given that

u1 = 0.78 m/s and m1 = 0.154 kg

u2 = -2.12 m/s and m2 = 0.308 kg

m2 = 2*m1

v1 = (m1-m2)*u1/(m1+m2) + (2*m2*u2)/(m1+m2)

v1 = -m1*0.78/(3m1) - (2*2*m1*2.12)/(3m1)

v1 = -3.08 m/s

A) v1 = 3.08 m/s

B) towards left

C) v2 = (2*m1*u1)/(m1+m2) + (m2-m1)*u2/(m1+m2)

v2 = 0.52 - 0.706 = -0.186 m/s

magnitude is 0.186 m/s

D) direction is towards left

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