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A particle with an initial linear momentum of 2.60 kg. m/s directed along the po

ID: 1469110 • Letter: A

Question

A particle with an initial linear momentum of 2.60 kg. m/s directed along the positive x-axis collides with a second particle, which has an initial linear momentum of 5.20 kg. m/s, directed along the positive y-axis. The final momentum of the first particle is 3.90 kg. m/s, directed 45.0 degree above the positive x-axis. Find the final momentum of the second particle. In a game of pool, a cue ball with an initial velocity of 1.30 m/s directed to the right (along the +x-axis) collides with the five ball, which has equal mass and is initially at rest. The five ball then moves at 1.13 m/s at an angle of 30.0degree above the +x direction. Find the cue ball's final velocity. A baseball catcher moves his glove away from a 30.5 m/s fastball as he catches it. If the average force he exerts on the ball is 1.24 x 10^2 N, how far does the glove move? Assume constant deceleration of the ball, which has a mass of 0.143 kg.

Explanation / Answer

11. Apply conservation of momentum law

along x, 2.6=3.9*cos(45)+px; px=-0.158

alongy, 5.2= 3.9*sin(45)+py; py=2.442

magnitude=sqrt( px2 +py2) =2.447 kgm/s

let direction be "a" from positive x direction

tan(x)= py/px; a=-86.298=273.702counter clockwise)

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