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Q. A force $ {{F}_{1}} $ of $500\, N$ is required to push a car of mass $1000\, kg$ slowly at constant speed on a levelled road. If a force $ {{F}_{2}} $ of $1000\, N$ is applied, the acceleration of the car will be

ManipalManipal 2010Motion in a Straight Line

Solution:

We know that a force of $500 \,N$ does not produce any acceleration because it pushes the car slowly at constant speed. Out of $1000\, N$ force, only $500\, N$ produces acceleration, the mass is $1000\, kg$,
so Acceleration $ =\frac{\text{force}}{\text{mass}} $
$ =\frac{500}{1000}=0.5\,m/{{s}^{2}} $