During a brake test, the rear-engine car is stopped from an initial speed of 107

Question

During a brake test, the rear-engine car is stopped from an initial speed of 107 km/h in a distance of 50 m. If it is known that all four wheels contribute equally to the braking force, determine the braking force F at each wheel. Assume a constant deceleration for the 1600-kg car.

During a brake test, the rear-engine car is stopped from an initial speed of 107 km/h in a distance of 50 m. If it is known that all four wheels contribute equally to the braking force, determine the braking force F at each wheel. Assume a constant deceleration for the 1600-kg car.

Explanation / Answer

Here, inital speed , u = 107 km/h

u = 29.72 m/s

d = 50 m

Now, using third equation of motion

0 -29.72^2 = -2*a * 50

a = 8.834 m/s^2

Now, using second law of motion

4*F = 1600 * 8.834

F = 3533.6 N

the brakcing force on each wheel is 3533.6 N

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