Determine the maximum theoretical speed that may be achieved over a distance of 66 m by a car starting from rest, knowing that the coefficient of static friction is 0.80 between the tires and the pavement and that 60 percent of the weight of the car is distributed over its front wheels and 40 percent over its rear wheels.

Question

Lena Stephenson

Physics

18 December, 12:10

Determine the maximum theoretical speed that may be achieved over a distance of 66 m by a car starting from rest, knowing that the coefficient of static friction is 0.80 between the tires and the pavement and that 60 percent of the weight of the car is distributed over its front wheels and 40 percent over its rear wheels.

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Answers (1)

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Caroline Howell · Answer 1

v=32.49 m/s

Explanation:

Given that

Distance, d = 66 m

Initial speed of the car, u = 0 m/s

Coefficient of friction,μ = 0.8

Lets take the total mass of the car = m

The acceleration of the car is given as

a = μ g (g = 10 m/s²)

Now by putting the values in the above equation we get

a = 0.8 x 10 m/s²

a = 8 m/s²

We know that, final speed is given as

v² = u ² + 2 a d

Now putting the value

v²=0² + 2 x 8 x 66

v² = 1056

v=32.49 m/s