2D Car Collision What was the initial direction (as measured counterclockwise fr

Question

2D Car Collision

What was the initial direction (as measured counterclockwise from the x-axis)?

The car is not coming in along the x-axis in the picture. Calulate the x and y values of the initial monenta and compute the speed and direction of the velocity. 2D Car Collision (c7p50) A 900- kg car collides with a 1200- kg car that was initially at rest at the origin of an x-y coordinate system. After the collision, the lighter car moves at 20.0 km/h in a direction of 30 degree with respect to the positive x axis. The heavier car moves at 23 km/h at -42 degree with respect to the positive x axis. What was the initial speed of the lighter car (in km/h)? The car is not coming in along the x-axis in the picture. Calulate the x and y values of the initial monenta and compute the speed and direction of the velocity. What was the initial direction (as measured counterclockwise from the x-axis)?

Explanation / Answer

Conservation of Momentum.
900*v*SinX = (-1200* sin42 *23)i+ (900*sin30 * 20)i
900*v*SinX = -18468 +9000
V*SinX = - 10.52

900*V*CosX = 900*20*Cos30 + 1200*Cos42*23
   900*V*CosX = 15588.45 + 20510.8 = 35739.25
V*CosX= 39.71

TanX = - 0.265
X = -14.84 degrees
V = 41.1 m/s
The 900kg car was moving at a speed of 41.1 m/s at (180-14.84=165.16 degrees ) anticlockwise to the x direction

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