A man pushes on a piano of mass 180 kg so that it slides at a constant velocity

Question

A man pushes on a piano of mass 180 kg so that it slides at a constant velocity of 12.0 cm/s down a ramp that is inclined at 10.3 degrees above the horizontal. No appreciable friction is acting on the piano. Calculate the magnitude and direction of this push

if the man pushes parallel to the incline, The sign of the force should be entered correctly.

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

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

Explanation / Answer

given,

mass = 180 kg

velocity = 12 cm/s or 0.12 m/s

angle = 10.3 degree

since the velocity is constant net force wil be 0

so,

mg * sin(10.3) = F

180 * 9.8 * sin(10.3) = F

F = -315.407 N

if the man pushes the piano up the plane instead the force will remain same that is 315.407 N

if the man pushes horizontally

180 * 9.8 * sin(10.3) = F * cos(10.3)

F = 320.57 N

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