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Two cars collide at an intersection. Car A , with a mass of 2000 kg , is going f

ID: 1457529 • Letter: T

Question

Two cars collide at an intersection. Car A, with a mass of 2000 kg , is going from west to east, while car B, of mass 1300 kg , is going from north to south at 14.0 m/s . As a result of this collision, the two cars become enmeshed and move as one afterwards. In your role as an expert witness, you inspect the scene and determine that, after the collision, the enmeshed cars moved at an angle of 55.0 south of east from the point of impact.

A) How fast were the enmeshed cars moving just after the collision?

B) How fast was car A going just before the collision?

Explanation / Answer

There are no external horizontal forces during the collision so

P1x = P2x and P1y = P2y

part a )

P1x = P2x

1300 * 14 = (3300)*v2 sin 55

v2 = 6.73 m/s

part b )

P1y = P2y

2000*va1 = 3300 *v2 * cos55

va1 = 6.37 m/s

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