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Jlenok [28]
4 years ago
15

A 1500-kg car starts from rest at the top of a driveway 6.61 m long that is sloped at an angle of 20 degrees with the horizontal

. If an average friction force of 3340 N impedes the motion of the car, find the speed (in m/s) of the car at the bottom of the driveway.
Social Studies
1 answer:
Alex_Xolod [135]4 years ago
4 0

Answer:

7.77114 m/s

Explanation:

m = Mass of the car = 1500 kg

g = Acceleration due to gravity = 9.81 m/s²

h = Height of the driveway = 6.61 m

\theta = Angle = 30°

f = Frictional force = 3340 N

The potential energy will balance the kinetic energy of the car

mghsin\theta-f=\dfrac{1}{2}mv^2\\\Rightarrow v=\sqrt{\dfrac{2(mghsin\theta-f)}{m}}\\\Rightarrow v=\sqrt{\dfrac{2(1500\times 9.81\times 6.61\times sin30-3340)}{1500}}\\\Rightarrow v=7.77114\ m/s

The speed of the car at the bottom of the driveway is 7.77114 m/s

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