Answer to Question #159541 in Physics for Meagan

Question

1. You are coasting downhill at a constant velocity of 1.00 m/s2 on your longboard. You and the longboard have a mass of 67.5 kg. The angle of the hill is 12.0o above the horizontal. Draw a free-body diagram for you and the longboard.What is the magnitude of each force acting on you and the longboard?

Answer 1

$$W=mg=(67.5)(9.8)=662\ N\\N=mg\cos{12}=(67.5)(9.8)\cos{12}=647\ N\\F_f=mg\sin{12}=(67.5)(9.8)\sin{12}=138\ N$$