Block 1 (0.5 kg) travels with an initial velocity of [ 60i ] + [ 40j ] m/s and t

Question

Block 1 (0.5 kg) travels with an initial velocity of [ 60i ] + [ 40j ] m/s and then collides with block 2 (0.5 kg) traveling with an initial velocity of [ -60i ] + [ -40j ] m/s. After the collision, block 1 has a final momentum of [ -10i ] + [ -10j ] kg*m/s. Assume that no external forces are present and therefore the momentum for the system of blocks is conserved.

What is the initial momentum of block 1? ___i + ___j kg*m/s

What is the initial momentum of block 2? ___i + ___j kg*m/s

What is the total initial momentum of the system of blocks? ___i + ___j kg*m/s

What is the change in momentum for block 1? (notice that you are given the final momentum for block 1.) ___i + ___j kg*m/s

What is the change in momentum for block 2? ___i + ___j kg*m/s

What is the final momentum of block 2? ___i + ___j kg*m/s

What is the total final momentum of the system of blocks? ___i +___ j kg*m/s

What is the total change of momentum of the system of blocks? ___i + ___j kg*m/s

What are the initial kinetic energies of block 1, block 2, and the system of blocks?

Block 1: ___J

Block 2: ___J

System of blocks: ___J

What are the final kinetic energies of block 1, block 2, and the system of blocks?

___Block 1: J

___Block 2: J

___System of blocks: J

What is the change in kinetic energy of the system of blocks due to the collision? ___J

Explanation / Answer

given

m1 = 0.5 kg

U1 = 60i + 40 j m/s

m2 = 0.5 kg

U2 = -10i - 10j m/s

a. initial momentum of block 1 = m1U1 = 0.5(60i + 40j) = 30i + 20j kg m/s

b. initial momentum of block 2 = m2U2 = 0.5(-10i - 10j) = -5i - 5j kg m/s

c. total initial moemntum of the blocks = m1U1 + m2U2 = 25i + 15j kg m/s

d. final momentum of block 1 Pf1 = -10i -10j kg m/s

change in momentum of block 1 = Pf1 - Pi1 = -10i -10j - (30i + 20j) = -40i -30j kg m/s

e. as total momentum is conserved

change in momentum of block 2= -change in momentum of block 1

change in momentum of block 2 = 40i + 30j kg m/s

f. final momentum of block 2 = 40i + 30j - 5i - 5j = 35i + 25j kg m/s

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