Calculating the Force Needed to Slide a 400 N Box Up a Ramp

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SUMMARY

The discussion focuses on calculating the force required to slide a 400 N box up a 25-degree ramp at a constant speed, which is determined to be 250 N parallel to the surface. Participants explore the application of Newton's Second Law (F=MA) to find the normal force and the coefficient of friction. The conversation also addresses the calculation of wasted force due to the angle of application, emphasizing the importance of resolving forces into their horizontal and vertical components. Key equations utilized include the force of friction and the relationship between applied force and normal force.

PREREQUISITES
  • Understanding of Newton's Second Law (F=MA)
  • Knowledge of force resolution into components (horizontal and vertical)
  • Familiarity with friction coefficients and their calculation
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Study the calculation of normal force on inclined planes
  • Learn about the coefficient of friction and its impact on motion
  • Explore the concept of force resolution in physics
  • Investigate the effects of angle on applied force efficiency
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding force dynamics on inclined surfaces.

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Homework Statement


A large package weighing 517 N is accelerated across a gym floor at 3 m/sec^2 because it is being pushed at a force of 285 N at 50 degrees to the floor. What is the normal force of the package? What is the coefficient of sliding friction between the package and the floor? Approximately what percentage of the 285 N force is being wasted due to the excessive angle produced by the pusher?

Homework Equations


F=MA
HORIZONTALLY
FORCE APPLIED, X= (285)(cos 50)= 183.194

VERTICALLY
FORCE OF Y=0 (not rising off the ground)
FORCE APPLIED, Y= (285)(sin 50)= 218.323

The Attempt at a Solution


I have filled in as much as I know, please help!
Thanks

Homework Statement


In order to slide a 400 N box up a 25 degree ramp at a constant speed, a force of 250 N parallel to to the surface is required

Homework Equations


The Attempt at a Solution

 
Last edited:
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for the first problem:

what is the normal force of the box?

how would you setup Newton's Second Law in order to find the coefficient of friction?

and to find the % being wasted take (Force Applied - Total Force being Exerted)/Total Force being Exerted * 100%

And what is the question for your second problem?
 
Wouldn't you use F=MA to find normal force?
 

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