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A 920kg car is at the top of a 38m -long, 2.5 degree incline. Its parking brake

ID: 1901564 • Letter: A

Question

A 920kg car is at the top of a 38m -long, 2.5 degree incline. Its parking brake fails and it starts rolling down the hill. Halfway down, it strikes and sticks to a 1160kg parked car. Ignoring friction, what's the speed of the joined cars at the bottom of the incline? Express your answer to two significant figures and include the appropriate units. What the first car's speed would have been at the bottom had it not struck the second car. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

doing energy consevation
(920+1160)v2/2 =920 g 38 sin2.5 +1160 g 38/2 sin2.5

1040 v2=24390

v=4.84 m/s

b)

doing energy conservation

920v2/2 =920*g*38sin2.5

v=5.70 m/s

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