A cat has a mass of 1500 kg If the drive applies the brakes

A cat has a mass of 1500 kg If the drive applies the brakes white on a gravel toad the maximum friction force that the tiros can provide without skidding is about 7000 N If the cat is moving at 10 m/s what is the shortest distance in which the cat can slop safely? Express your answer to two significant figures and include the appropriate units.

Solution

As mentioned, we need to determine the minimum distance over which the car weighing 1500 kg and moving with the speed of 10 m/s can stop. For the minimum distance to stop, we need to have the maximum possible deceleration acting on the car for which we have the maximum friction that the ground can apply.

So tha maximum deceleration the ground can provide would be: a = maximum friction / mass

Or, a = 7000 / 1500 = 4.6667 m/s²

Now, we will use this deceleration in the equation of motion involving speed and distance [because we need to find distance and we know the initial velocity]

So, we know that V^2 = U^2 + 2aS

Here the final velocity would be zero as the car stops, hence,

0 = 100 - 2(4.6667)S

or S = 100 / 2(4.6667) = 10.7142 Metres

Therefore the minimum distance over which the car can be stopped is S = 10.7142 Metres.