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  4. An iron block of mass 5 kg is kept on a trolley. If the trolley is being pushed with an acceleration of 5 m / s 2, what will be the force of friction between the block and the trolley surface? (Take the coefficient of static friction between the block and the trolley surface to be 0,8).

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Q. An iron block of mass $5\, kg$ is kept on a trolley. If the trolley is being pushed with an acceleration of $5\,m / s $$ 2$, what will be the force of friction between the block and the trolley surface?
(Take the coefficient of static friction between the block and the trolley surface to be $0,8$).

Delhi UMET/DPMTDelhi UMET/DPMT 2010

Solution:

Applied force $=m \times a=5 \times 5=25$
Limiting friction $=\mu\, m g=0.8 \times 5 \times 10=40$
For the given condition applied force is very smaller than limiting friction
$\therefore $ Static friction on a body $= $ applied force $=m a$
$=5 \times 5=25 \,N$