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A motorcar of mass `1200kg` is moving along a straight line with a uniform velocity of `90 km//h`. Its velocity is slowed down to `18 km//h` in `4s` by an unbalanced external force. Calculate the acceleration and change in momentum. Also, calculate the magnitude of the force required.

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(a) Calculation of acceleration
Here, Initial velocity,u=90km/h
=25 m/s
Final velocity,v=18 km/h ltbr? `=(18xx1000m)/(60xx60s)`
Acceleration,a=? (To be calculated)
And, Time,t=4s
Now, v=a+ut
Thus, the acceleration of the motorcar is, `-5 m//s^(2)`. It is actually negative acceleration or retardation.
(b) Calculation of change in momentum
Change in momentum =mv-mu
Thus, the change in momentum is 24000 kg. m/s
(c) Calculation of magnitude of force
Force, F=`mxxa`
Thus, the magnitude of force required is 6000 newtons. The negative sign shows that this force is opposing the motion.

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