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

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To determine the heaviest box that can be pulled up the incline at a constant speed of 76.5 cm/s using a 2.25 Horsepower motor, the relevant equations involve power, force, and friction. The power output of the motor must equal the work done against gravity and friction while moving the box. The incline angle of 36.2 degrees and the coefficient of kinetic friction of 0.381 are crucial for calculating the forces involved. Understanding the relationship between power and speed is essential for solving the problem. The discussion highlights the importance of applying physics concepts to find the solution effectively.
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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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