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Q.

A block of mass 2 kg is kept on the floor. The coefficient of static friction is 0. 4. Let a force F of 2.5 N be applied on the block as shown in the figure, then what will be the frictional force between the block and the floor?

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a

2.5 N

b

5 N

c

7.84 N

d

10 N

answer is A.

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Detailed Solution

Friction always acts according to the requirement and tries to oppose relative motion (kinetic friction) or keeping a body at rest after application of force upto a certain range.We first calculate the limiting value of frictionfmax=μmg=0.4×2×9.8=7.84NIf this limiting value fmax≥Fext then block will not slip and static friction will be fs=Fext  but, if fmax≤Fext then the block will slip and friction will be equal to fmax.Since external forceFext=2.5N which is less than limiting value of friction.Hence, block will not slip.∴ Static friction on a bodyfs=Fext=2.5N
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