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Q.

A constant power of 30 W is required to move a 2 kg block on a rough horizontal surface with a constant velocity of 2 m/s. If the same block is projected along the surface with a velocity of 8 m/s, what will be the maximum distance covered by the block before it comes to rest?

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a

3.26 m

b

4.2 m

c

4.8m

d

4.26 m

answer is D.

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Detailed Solution

Rate of work done in overcoming the frictional force is equal to te power required.∴ μ×2×10×2=30⇒μ=34when the block is projected, θ=V2−2μg.S⇒S=V22μg=822×34×10m=4.26 m
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