Answer to Question #204286 in Physics for Lucky

Question

A 20 kg box is pushed up a rough sloping ramp (30° relative to the incline) with a force of 300 N a, parallel to the horizontal with constant speed. Calculate the normal force on the block

Answer 1

The net force on the y-direction is equal to zero, hence

$$N-mg\cos 30^{\circ}-F\sin 30^{\circ}=0$$

$$N=mg\cos 30^{\circ}+F\sin 30^{\circ}$$

$$N=20\times 9.8\cos 30^{\circ}+300\sin 30^{\circ}=320\:\rm N$$