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A body of mass 'm' slides down a smooth inclined plane having an inclination of 45o with the horizontal. It takes 2s to reach the bottom. If the body is placed on a similar plane having coefficient friction 0.5, what is the time taken for it to reach the bottom?

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a

3.725 sec

b

2.650 sec

c

2.828 sec

d

4.135 sec

answer is C.

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Detailed Solution

t=2lgsin⁡θ⇒4=2lgsin⁡θ⇒2lg=4sin⁡45∘=4×12=22t1=2lgsin⁡θ−μkcos⁡θ2212−1212=22122=22=2×1.414=2.828S

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A body of mass 'm' slides down a smooth inclined plane having an inclination of 45o with the horizontal. It takes 2s to reach the bottom. If the body is placed on a similar plane having coefficient friction 0.5, what is the time taken for it to reach the bottom?