In the figure, a crate of mass m = 103 kg is pushed at a constant speed up a fri

Question

In the figure, a crate of mass m = 103 kg is pushed at a constant speed up a frictionless ramp (? = 32.0?) by a horizontal force F. The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of ? (b) What is the magnitude of the normal force on the crate?

Explanation / Answer

a) By F(net) = F(applied) - F(gravity) =>As v = constant=>a = 0=>F(net) = 0 =>F(a) = F(g) =>Fcos28* = mgsin28* =>F = 109 x 9.8 x tan28* =>F = 567.97 N (b) N = mgcos28* + Fsin28* =>N = 109 x 9.8 x 0.88 + 567.97 x 0.47 =>N = 1206.96 N

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