A y 65° +5.5 m/s A B 37° At rest B X Before collision After collision The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.025 kg and is moving along the x axis with a velocity of +5.5 m/s. It makes a collision with puck B, which has a mass of 0.050 kg and is initially at rest. The collision is not head-on. After the collision, the two pucks fly apart with the angles shown in the drawing. We want to find the final speeds of puck A and B. a) Write the projection of the final velocity vectors VA and VB on the x and y axis. (1 point) b) Write the two equations of conservation of momentum along the x and the y axis. (2 points) c) Isolate VA or VB from the equation along the x axis and substitute it into the equation of y axis. Find both VA and VB. (2 points).
A y 65° +5.5 m/s A B 37° At rest B X Before collision After collision The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.025 kg and is moving along the x axis with a velocity of +5.5 m/s. It makes a collision with puck B, which has a mass of 0.050 kg and is initially at rest. The collision is not head-on. After the collision, the two pucks fly apart with the angles shown in the drawing. We want to find the final speeds of puck A and B. a) Write the projection of the final velocity vectors VA and VB on the x and y axis. (1 point) b) Write the two equations of conservation of momentum along the x and the y axis. (2 points) c) Isolate VA or VB from the equation along the x axis and substitute it into the equation of y axis. Find both VA and VB. (2 points).
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 5OQ: A 5-kg cart moving to the right with a speed of 6 m/s collides with a concrete wall and rebounds...
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Question

Transcribed Image Text:A
y
65°
+5.5 m/s
A
B
37°
At rest
B
X
Before collision After collision
The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.025 kg
and is moving along the x axis with a velocity of +5.5 m/s. It makes a collision with puck B, which has a
mass of 0.050 kg and is initially at rest. The collision is not head-on. After the collision, the two pucks fly
apart with the angles shown in the drawing. We want to find the final speeds of puck A and B.
a) Write the projection of the final velocity vectors VA and VB on the x and y axis. (1 point)
b) Write the two equations of conservation of momentum along the x and the y axis. (2 points)
c) Isolate VA or VB from the equation along the x axis and substitute it into the equation of y axis. Find
both VA and VB. (2 points).
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