Q.

A particle is projected up a 45° inclined plane with an initial velocity ‘u’.  If the coefficient of kinetic friction between the particle and the plane is μ, it returns to the bottom of the plane with a velocity of

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a

u2(1μ)(1+μ)

b

u(1+μ)(1μ)

c

u(1μ)(1+μ)

d

u(1μ)2(1+μ)

answer is C.

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Detailed Solution

For up the plane journey

02u2=2×(gsin450+μgcos450)×s

Get s. For the return journey

v202=2×(gsin450μgcos450)×s

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A particle is projected up a 45° inclined plane with an initial velocity ‘u’.  If the coefficient of kinetic friction between the particle and the plane is μ, it returns to the bottom of the plane with a velocity of