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Aleonysh [2.5K]
3 years ago
5

A 2000 kg car starts from rest and coasts down from te top of 5m long driveway that is sloped at an angle of 20 degrees with the

horizontal. If a constant 4000N frictional force resists the car's motion, find the speed of the car at the bottom of the driveway?
Physics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:3.67 m/s

Explanation:

Given

mass of car m=2000 kg

Initial velocity u=0

Length of track L=5 m

inclination of driveway \theta =20^{\circ}

Friction Force F=4000 N

Sin component of weight accelerate the car while friction tries to oppose the car i.e.

mg\sin \theta -F=ma_{net}

a_{net}=g\sin \theta -\frac{F}{m}

a_{net}=9.8\sin 20-2=1.35 m/s^2

Using v^2-u^2=2 as

v=final\ velocity

v=\sqrt{2\times 1.35\times 5}

v=\sqrt{13.517}=3.67 m/s

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