THIS IS WHAT IT SAYS: in the figure, a crate slides down an inclined right-angle

Question

THIS IS WHAT IT SAYS:

in the figure, a crate slides down an inclined right-angled trough. the coefficient of kinetic friction between the crate and the trough is 0.24. if the incline angle is theta = 41 degrees what is the magnitutde of the acceleration of the crate?

In the figure, a crate slides down an inclined right-angled trough. The coefficient of kinetic friction between the crate and the trough is 0.24. If the incline angle is theta = 41degree what is the magnitude of the acceleration of the crate? Click if you would like to Show Work for this question:

Explanation / Answer

gravitational pull down the ramp = mg sin41
Friction opposing it = 0.24*mg cos41

Net force acting down = mg [sin41 - 0.24cos41]
Acceleration a = F/m =9.8*[sin41 - 0.24cos41] = 4.65 m/s^2

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