A car with a mass of 1,200 kg traveling westward at 30 m/s is slowed to a stop in a distance of 50 m by the car’s brakes. What w

Question

A car with a mass of 1,200 kg traveling westward at 30 m/s is
slowed to a stop in a distance of 50 m by the car’s brakes.
What was the braking force?

A. 10,800 N
B. 36.000 N
C. 6000 N
D. 9000 N

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Bình An 6 months 2021-07-24T19:11:40+00:00 1 Answers 175 views 0

Answers ( )

    1
    2021-07-24T19:12:50+00:00

    Answer:

    F = 10800 N

    Explanation:

    We have,

    Mass of a car, m = 1200 kg

    Initial speed of the car, u = 30 m/s

    Finally speed, v = 0 (as it stops)

    Stopping distance, d = 50 m

    It is required to find the braking force. For this firstly we can find the acceleration of the car using equation of kinematics as :

    v^2-u^2=2ad

    u^2=2ad\\\\a=\dfrac{u^2}{2d}\\\\a=\dfrac{(30)^2}{2\times 50}\\\\a=9\ m/s^2

    Braking force is, F = ma

    F=1200\times 9\\\\F=10800\ N

    So, the braking force is 10800 N. The correct option is A

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