How Much Force Is Needed to Push a Piano Up a Ramp?

AI Thread Summary
To push a 160kg piano up a 36.9-degree ramp at constant velocity, the applied force must counteract the component of the weight acting down the ramp. The relevant equation is the sum of forces in the x-direction, leading to Fman = wsin(alpha). Calculating this gives Fman = (160kg)(9.8)(sin(36.9)), resulting in a force of 941N. The calculation was confirmed as correct by another participant in the discussion. Understanding the relationship between weight, angle, and force is crucial for solving similar physics problems.
Edwardo_Elric
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Homework Statement


A man pushing a piano with a mass 160kg at constant velocity up a ramp that is inclined at 36.9 degrees above the horizontal. Neglect friction. If the force applied by the man is parallel to the incline, calculate the magnitude of this force.

Homework Equations





The Attempt at a Solution


summation of Fx = wsin(alpha) - Fman = 0
Fman = (160kg)(9.8)(sin(36.9))
= 941N
 
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correct

marlon
 
ty for checking
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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