A 2,000 kg car starts from rest and coasts down from the top of a 5.00 m long driveway that is sloped at an angel of 20o with the horizontal. If an average friction force of 4,000 N impedes the motion of the car, find the speed of the car at the bottom of the driveway.

Question

Physics

Kianna Flowers

30 September, 00:29

A 2,000 kg car starts from rest and coasts down from the top of a 5.00 m long driveway that is sloped at an angel of 20o with the horizontal. If an average friction force of 4,000 N impedes the motion of the car, find the speed of the car at the bottom of the driveway.

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Nikolai Mcguire · Answer 1

The speed at the bottom of the driveway is3.67m/s.

Explanation:

Height, h = 5sin20° = 1.71m

Potential energy PE=mgh = 2000*9.8*1.71

PE = 33516J

KE = PE - Fk * d

0.5mv^2 = 33516 - (4000*5)

0.5*2000v^2 = 33516 - 20000

1000v^2 = 13516

v^2 = 13516/1000

v = sqrt 13.516

v = 3.67m/s