A block is kept on an inclined plane of inclination θ of length l. velocity of particle at the bottom of inclined is (friction coefficent is μ)
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1) component of gravitational force = mgsin(θ)
(2) friction force F = u×R = u×mgcos(θ)
So net force acting on the body will be:
Fnet = mgsin(θ) − u×mgcos(θ)so acceleration will be as: a = Fnetm = g×[sin(θ)−ucos(θ)]
so the velocity of the block can be calculated using third equation of motion:
Formula: v2 = u2 + 2as v2 = (0)2 + 2×[g×{sin(θ)−ucos(θ)}]×l v = 2gl[sin(θ)−ucos(θ)]
(2) friction force F = u×R = u×mgcos(θ)
So net force acting on the body will be:
Fnet = mgsin(θ) − u×mgcos(θ)so acceleration will be as: a = Fnetm = g×[sin(θ)−ucos(θ)]
so the velocity of the block can be calculated using third equation of motion:
Formula: v2 = u2 + 2as v2 = (0)2 + 2×[g×{sin(θ)−ucos(θ)}]×l v = 2gl[sin(θ)−ucos(θ)]
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i hope this is the correct answer ☺️
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