A 0.156 kg glider is moving to the right on a frictionless, horizontal air track
ID: 1350129 • Letter: A
Question
A 0.156 kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.890 m/s . It has a head-on collision with a 0.301 kg glider that is moving to the left with a speed of 2.12 m/s . Suppose the collision is elastic 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. c)Find the magnitude of the final velocity of the 0.301 kg glider. d)Find the direction of the final velocity of the 0.301 kg glider.
Explanation / Answer
a)
let
m1 = 0.156 kg, u1 = 0.89 m/s
m2 = 0.301 kg, u2 = -2.12 m/s
after the collision,
velocity of m1,
v1 = ( (m1-m2)*u1 + 2*m2*u2 )/(m1+m2)
= ( (0.156 - 0.301)*0.89 + 2*0.301*(-2.12))/(0.156 + 0.301)
= -3.08 m/s
|v1| = 3.08 <<<<<--------Answer
b)
Direction : towards left
c)
velocity of m2,
v2 = ( (m2-m1)*u2 + 2*m1*u1 )/(m1+m2)
= ( (0.301 - 0.156)*(-2.12) + 2*0.156*0.89)/(0.156+0.301)
= -0.07 m/s
|v2| = 0.07 m/s <<<<<--------Answer
d)
Direction : towards left
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