Use the worked example above to help you solve this problem. A car with mass 1.4

Question

Use the worked example above to help you solve this problem. A car with mass 1.41 × 103 kg traveling east at a speed of 29.1 m/s collides at an intersection with a 2.58 x 103 kg van traveling north at a speed of 20.8 m/s, as shown in the figure. Find the magnitude and direction of the velocity of the wreckage after the collision, assuming that the vehicles undergo a perfectly inelastic collision (that is, they stick together) and assuming that friction between the vehicles and the road can be neglected. magnitude 10.28 m/s direction o counterclockwise from the +x-axis

Explanation / Answer

initial momentum in the x-direction= mtot * vx

1.41 * 103 * 29.1 = (1.41 * 103 + 2.58 * 103) vx

vx = 10.28 m/s

2.58 * 103 * 20.8 = (1.41 * 103 + 2.58 * 103) vy

vy = 13.45 m/s

v = sqrt [10.282 + 13.452]

magnitude = 16.93 m/s

tan = 13.45 / 10.28

direction, theta = 52.6 deg

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