the green ball has a mass of 2.6 kg and is traveling to the right with an initial velocity of 4 m/s. The yellow ball has a mass of 1.04 kg and is traveling the left with an initial velocity of -6 m/s. After the two balls collide, the green ball travels to the left with a speed of -2.9 m/s, what must be the velocity of the yellow ball after the collision?
In the figure below, the green ball has a mass of 2.6 kg and is traveling to the right with an initial velocity of 4 m/s. The yellow ball has a mass of 1.04 kg and is traveling the left with an initial velocity of -6 m/s. After the two balls collide, the green ball travels to the left with a speed of -2.9 m/s, what must be the velocity of the yellow ball after the collision? In order to answer this question, follow the steps provided and remember that the total initial momentum of the system must equal the total final momentum.
A summary of what we know about each ball is given below
Green Ball: Mass = 2.6 kg, Initial Velocity = 4 m/s, Final Velocity = -2.9 m/s
Yellow Ball: Mass = 1.04 kg, Initial Velocity = -6 m/s, Final Velocity = UNKNOWN
Momentum Before the Collision
(a) What was the initial momentum of the green ball before the collision?
pTi = 10.4 kg m/s
(b) What was the initial momentum of the yellow ball before the collsion?
pTi = -6.24 kg m/s
(c) What was the total initial momentum of the system of balls?
pTi = 4.16 kg m/s
Momentum After the Collision
(d) What was the total final momentum of the system of balls if momentum in conserved? (Hint: Shouldn't this be the same as the initial momentum of the system, (c)?)
pTf = 4.16 kg m/s
(e) What was the final momentum of the green ball after the collision?
pgf = -7.54 kg m/s
(f) (f) What must be the final momentum of the yellow ball after the collision? Remember that you know the total final momentum of the system from part (d) and this must be equal to the final momentum of the green ball plus the final momentum of the yellow ball.(Answer (d) - (e))
pyf = 11.7 kg m/s
(g) According to your answer for (f) what must be the final velocity of the yellow ball after the collision? Use the definition of momentum, p = m v and the fact that you know the final momentum of the yellow ball from (f) and the mass of the yellow ball.
vyf = ______ m/s
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