Frictionless ramp, constant velocity, find work

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SUMMARY

The discussion focuses on calculating the work required to push a piano with a mass of 1635.0 kg onto a truck bed that is 1.73 m high using a frictionless ramp. The solution involves applying the conservation of energy principle, where the work done is equal to the potential energy gained by the piano. The relevant equation is U = mgh, where U is potential energy, m is mass, g is the acceleration due to gravity (9.81 m/s²), and h is the height (1.73 m). The calculated work is approximately 27.7 kJ.

PREREQUISITES
  • Understanding of potential energy (U = mgh)
  • Basic knowledge of conservation of energy principles
  • Familiarity with mass and gravitational force concepts
  • Ability to perform unit conversions (e.g., from Joules to kilo-Joules)
NEXT STEPS
  • Review the principles of conservation of energy in physics
  • Learn about potential energy calculations in different contexts
  • Explore the concept of work done against gravitational forces
  • Study examples of frictionless systems in physics problems
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the application of energy conservation in real-world scenarios, particularly in mechanics involving inclined planes.

holls14
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Homework Statement



Movers must push a piano onto a truck, the bed of which is a height 1.73 m above the ground. To do this they will use a frictionless ramp. If the piano has a mass of 1635.0 kg and the movers push it up the slope at a constant velocity, how much work do they need to do on it to move it into the bed? Please provide your answer in kilo-Joules (kJ), as the amount of work should be quite large.


Homework Equations





The Attempt at a Solution


I have no clue where to start here, no angle?
 
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holls14 said:

Homework Statement



Movers must push a piano onto a truck, the bed of which is a height 1.73 m above the ground. To do this they will use a frictionless ramp. If the piano has a mass of 1635.0 kg and the movers push it up the slope at a constant velocity, how much work do they need to do on it to move it into the bed? Please provide your answer in kilo-Joules (kJ), as the amount of work should be quite large.


Homework Equations





The Attempt at a Solution


I have no clue where to start here, no angle?

Do not think of it as a dynamics problem with forces (i.e. you don't need an angle). This is a conservation of energy problem. The work you put into the moving the piano up 1.73 m turns into potential energy. If we think of it in reverse, the potential energy of the piano afterwards is equal to the _______ .

K + U (before) = K + U (after)

where K is kinetic energy and U is potential energy.

K = (1/2)mv2
U = mgh
 

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