Question

In: Physics

Review question 18) Show all work and diagrams and clearly label everything. The car that you...

Review question 18)

Show all work and diagrams and clearly label everything.

The car that you are driving in the snow has a mass of 10,000 kg and the coefficient of friction is 0.20.

a) What is the maximum velocity that the car can drive around an unbanked corner in the snow if the curve has a radius of 200 meters?

b) Now the road becomes straight after you exit the curve. You brake suddenly without slipping. How long (in time) will it take for the car to come to a stop? Assume you are initially traveling at the speed calculated in part (a).

c) After using the brakes, how far (final distance) would the car travel before it came to a stop in part (b)?

Expert Solution

(a) Given that the mass of the car m = 10000kg, the coefficent of friction = 0.20 and the radius of the road r = 200m.

The maximum velocity of safe turning in an unbanked road is given by

where g = acceleration due to gravity = 9.8m/s2.

Substituting the values, we get

The maximum velocity that the car can drive around an unbanked corner in snow is 19.8m/s.

(b) The retarding force is given by

The acceleration during this time is given by

Now the time taken to travel this 100m with a deceleration of 1.96m/s2 is given by

The car will stop after 10.10s.

(c) The stopping distance in a rough surface is given by,

The car will stop after travelling 100m.

genius_generous answered 3 years ago

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