A body slides down a plane inclined at an angle θ to the horizontal. The coefficient of friction μ down the plane
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Explanation:
The energy lost due to friction on an inclined plane is given as
E=F
fric
d
The force due to friction is given as
f
fric
=μ
k
F
N
F
N
=mgcosθ
By substituting the normal force we get
E=μ
k
mgcosθ⋅d
This is the energy lost is lifting up the mass.
Since the mass is sliding down the energy is given as
E=μR
E=μmg
Since the acceleration due to gravity is constant it depends on the coefficient of friction.
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