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Q.

A car of mass 2 metric tons is moving up a smooth inclined plane with a velocity of 72KMPH. If the power of the engine is 8 KW, the angle of inclination of the inclined plane is

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a

cos-14849

b

cos-1149

c

sin-1149

d

Tan-1149

answer is D.

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Detailed Solution

We know that,

F=mgsinθ F=2000×10sinθ F=20000Sinθ

but,

P=F×V 8000=20000sinθ×720003600 sinθ=149

Hence the correct answer is θ=sin-1149.

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