A man pushes on a piano of mass 190 kg so that it slides at a constant velocity

Question

A man pushes on a piano of mass 190 kg so that it slides at a constant velocity of 12.0 cm/s down a ramp that is inclined at 12.0^circ above the horizontal. No appreciable friction is acting on the piano. Calculate the magnitude and direction of this push

A. if the man pushes parallel to the incline, F=?
We take the upward direction to be positive and downward one to be negative. The sign of the force should be entered correctly

B. if the man pushes the piano up the plane instead, also at 12.0 cm/s parallel to the incline, F+

C. if the man pushes horizontally, but still with a speed of 12.0 cm/s, F=

Explanation / Answer

A) the net force on the piano should be zero since it slides down the incline at a constant speed.

the force acting on the piano by the man counteracts that of gravity down the incline.

F=-Fg=-(- mgsin)=190*9.8 Sin 12=387 N ie up the plane or backwards

B)F= mgsin= 387N

C) Here only the component of force in the direction of plance balances the force of gravity.

FCos=mgsin

F=mgtan=396 N

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