A block of mass m = 1.62 kg slides down a frictionless incline. The block
is released a height h = 3.91 m above the bottom of the loop.
friction coefficient =0.2
(a) Find the work done by the gravitational force from the top to A,
Wgra ?
(b) Find the work done by the friction force from the top to A, Wfric ?
(c) Find the relation between Wfric and the energy of the object ?
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Answer:
The energy lost due to friction on an inclined plane is given as
E=Ffricd
The force due to friction is given as
ffric=μkFN
FN=mgcosθ
By substituting the normal force we get
E=μkmgcosθ⋅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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