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Crank
3 years ago
10

A car of mass 1100 kg that is traveling at 27 m/s starts to slow down and comes to a complete stop in 578 m. What is the magnitu

de of the average braking force acting on the car?
Physics
1 answer:
sweet [91]3 years ago
4 0

A car of mass 1100 kg that is travelling at 27 m/s starts to slow down and comes to a complete stop in 578 m. The magnitude of the average braking force acting on the car is 693 N.

<u>Explanation:</u>

The given car of mass of 1100 kg has been travelling at a speed of 27 m/s and the breaking force was applied. To determine the breaking force, following steps can be undertaken,

Applying the equations of motion, as we know,

                                      v^{2}=u^{2}-2 a s

As the car comes to rest, final velocity v=0.  Substituting the known value into the third equation of motion as mentioned above, we get,

                      0=(27 \times 27)-(2 a \times 578)

                      2 a \times 578=27 \times 27

Then, Deacceleration is

a=\frac{27 \times 27}{2 \times 578}=\frac{729}{1156}=0.63 \mathrm{m} / \mathrm{s}^{2}

Now to calculate the force,

                   F=m a=1100 \times 0.63=693 \mathrm{N}

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