A man wants to move some heavy boxes up to the loft in his barn

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SUMMARY

A man utilizes a 2.25 Horsepower motor to pull heavy boxes up a 36.2-degree inclined ramp, covering a distance of 9.35 meters at a constant speed of 76.5 cm/s. The coefficient of kinetic friction for the boxes is 0.381. To determine the heaviest box that can be moved at this speed, one must apply the relationship between power, force, and speed, specifically using the equation P = F * v, where P is power, F is the force exerted, and v is the velocity.

PREREQUISITES
  • Understanding of basic physics concepts such as force, power, and friction.
  • Familiarity with inclined planes and the equations of motion.
  • Knowledge of the relationship between power, force, and velocity.
  • Ability to perform calculations involving trigonometric functions for inclined angles.
NEXT STEPS
  • Study the equation P = F * v to understand how to relate power to force and velocity.
  • Learn about the calculation of forces on inclined planes, including gravitational and frictional forces.
  • Explore the concept of kinetic friction and how it affects motion on ramps.
  • Investigate the application of trigonometry in resolving forces on inclined surfaces.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined planes, as well as educators seeking to explain concepts of power and friction in practical scenarios.

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Homework Statement


A man wants to move some heavy boxes up to the loft in his barn. He uses a 2.25 Horsepower motor to pull the boxes a distance of 9.35 meters up a ramp inclined at an angle of 36.2 degrees with respect to horizontal. The boxes have a coefficient of kinetic friction .381 as they slide along the ramp.
a) What is the heaviest box the man can pull up the incline with his motor at a constant speed of 76.5 cm/s?
This question has more parts but this is the only part I have trouble with.

Homework Equations

The Attempt at a Solution


Table.PNG

I made the picture now i am lost on where to go to find the heaviest box.
 

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What have you learned about power? How about a relevant equation relating power to speed?
 
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kuruman said:
What have you learned about power? How about a relevant equation relating power to speed?
That helped a lot didnt know where my mind was... thank you!
 

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