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Q.

The driver of an 800 kg car travelling at a speed of 54 km/h on a highway sees a child on the road. He applies the brake to save the child. The brakes exert a retarding force of 5000 N. Calculate the time interval during which the car stops.


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a

2.5 m

b

2.25 m

c

2.4 m

d

3 m 

answer is C.

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Detailed Solution

From the first law of motion,
F = ma  where F, m and a are the force, mass and acceleration of the body.
It can be also written as
=> F = m(v - u) / t
=> Ft = m(v - u)
On substituting the values we get,
=> -5000 t = 800(0 - 15) [54 km/h = 15 m/s]
=> -5000 t = 800(0 - 15)
=> -5000 t = -12000
=> t = 2.4 s
 
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