A man pushes a crate massing 50 kg at a constant speed up a ramp inclined at an angle of 30 to the horizontal. the coefficient of kinetic friction between the crate and the ramp is 0.40. what force must the man exert on the crate

Explanation:

Let assume that direction of pull force is parallel to the ramp. The equations of equilibrium for the crate are: (x' is the axis parallel to the ramp, y' is axis perpendicular to the ramp)

The force exerted by the man on the crate can be calculated after manipulating the equation of equilibrium algebraically:

answer; how far out of place which the object finished relative to the starting location;