A man pushes a piano with mass 180kg so that it slides at constant velocity down a ramp that is inclined at 11.0degr

constant-velocity

#1

A man pushes a piano with mass 180kg so that it slides at constant velocity down a ramp that is inclined at 11.0degr. above the horizontal. Neglect friction acting on the piano. If the force applied by the man is parallel to the incline, calculate the magnitude of this force.

Answer:

Constant velocity implies acceleration(a) = 0
Force due to gravity(F_g) = mgsin(11) = 1809.8sin(11)
Force applied by man(F_m) = F_g (as Net force = 0)
F_m = 1809.8sin(11)
F_m = 336.6 N