A 0.350 k g glider is moving to the right on a frictionless, horizontal air trac

Question

A 0.350kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.750m/s when it makes a head-on collision with a stationary 0.150kg glider.

Find the magnitude of the final velocity of first glider if the collision is elastic.

Find the direction of the final velocity of first glider if the collision is elastic (Right or Left)

Find the magnitude of the final velocity of second glider if the collision is elastic.

Find the direction of the final velocity of second glider if the collision is elastic. (Right or Left)

Find the final kinetic energy of first glider.

Find the final kinetic energy of second glider.

Explanation / Answer

conservation of momentum

0.35*0.75 = 0.35*v1 + 0.15*v2

v2 = 0.35*0.75/0.15 - 0.35/0.15 *v1

conservation of energy

0.35*0.75^2 = 0.35*v1^2 + 0.15*v2^2

0.35*0.75^2 = 0.35*v1^2 + 0.15*( 0.35*0.75/0.15 - 0.35/0.15 *v1)^2

v1=0.3 m/s

b) positive so to the right

c) v2 = 0.35*0.75/0.15 - 0.35/0.15*0.3=1.05 m/s

d) positive so the right

e) KE1 = 0.5*0.35*0.3^2=0.01575 J

f) KE2= 0.5*0.15*1.05^2=
0.08269 J

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