Solving a Ramp Problem: Calculating Forces and Work Done on a Sliding Piano

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SUMMARY

The discussion focuses on calculating the forces and work done on a 280 kg piano sliding down a 30-degree incline, with a coefficient of kinetic friction of 0.40. The key calculations include determining the force exerted by a man pushing against the piano, the work done by this force, the work done by friction, the work done by gravity, and the net work on the piano. The problem emphasizes the importance of understanding force equilibrium, as the piano is not accelerating.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of basic physics concepts such as force, work, and friction
  • Familiarity with trigonometric functions for incline calculations
  • Ability to apply the work-energy principle
NEXT STEPS
  • Calculate the gravitational force acting on the piano using the formula F = mg
  • Learn how to resolve forces along an incline using trigonometric functions
  • Understand the work-energy theorem and how to apply it to non-accelerating systems
  • Explore the concept of static and kinetic friction in detail
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators seeking to explain force dynamics on inclined planes.

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Homework Statement



A 280kg piano slides 4.3 meters down a 30 degree incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. The effective coefficient of kinetic friction is .40. Calculate: a) The force exerted by the man. b) The work done by the man on the piano. c) the work done by the friction force. d) The work done by the force of gravity. e) The net work done on the piano

Homework Equations



Well I know since it's kept from accelerating, the sum of all forces of work is 0.

The Attempt at a Solution



I honestly don't know where to start.
 
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Draw the forces on the piano. You know what they all sum to.
 

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