The frictional force between the crate and the ramp is determined as 35.2 N.
Energy lost to frictional force
Apply the principle of conservation energy to calculate the change in the energy of the crate.
Change in energy of the crate = energy loss to friction
P.Ei - K.Ef = E
mgh - ¹/₂mv² = E
where;
- m is mass of the crate
- h is vertical height traveled by the crate
- v is the final velocity of the crate
(30)(9.8)(2) - (0.5)(30)(2²) = E
528 J = E
Frictional force between the crate and the ramp
E = Fd
where;
- F is the frictional force
- d is the distance traveled by the crate
F = E/d
F = (528)/(15)
F = 35.2 N
Thus, the frictional force between the crate and the ramp is determined as 35.2 N.
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