Acceleration produced from dragging a box up a hill?

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SUMMARY

The discussion focuses on calculating the acceleration of an 80.0N box being pulled with a force of 20.0N at a 60-degree angle to the horizontal. The key takeaway is that the force can be broken down into horizontal (F(x)) and vertical components, with only the horizontal component contributing to acceleration. The formula for acceleration is derived from F(x) divided by mass (M), emphasizing the importance of using trigonometric functions to find F(x) from the applied force at the given angle.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Basic knowledge of trigonometric functions (sine, cosine)
  • Ability to resolve forces into components
  • Familiarity with the concept of weight and mass
NEXT STEPS
  • Learn how to resolve forces using trigonometric identities
  • Study Newton's Second Law in detail
  • Explore examples of force component calculations in physics
  • Investigate the effects of friction on acceleration
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of forces and motion, particularly in applied mechanics scenarios.

FREEDOGGY
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A box 80.0N is to be pulled across a smooth horizontal floor with a force of 20.0N at an angle of 60 degrees to the horizontal. What acceleration will be produced?

I know this probably seems simple, but I have searched my lecture notes, my textbook and the web but I can't find out how to input the 60 degrees into finding the acceleration. Just wondering if anybody has any hints? thanks in advance
 
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The force has two components, one in the vertical direction and one in the horizontal direction. The vertical component will be canceled by its weight. So there will only be an acceleration in the horizontal direction. If you draw a picture of the force vector and its x-y components how do you express the x component in terms of its hypothenuse by using simple trig?
 
FREEDOGGY said:
A box 80.0N is to be pulled across a smooth horizontal floor with a force of 20.0N at an angle of 60 degrees to the horizontal. What acceleration will be produced?

I know this probably seems simple, but I have searched my lecture notes, my textbook and the web but I can't find out how to input the 60 degrees into finding the acceleration. Just wondering if anybody has any hints? thanks in advance
Welcome to PF.
hint:
The force has components ( X and Y).
And as You can see there is no acceleration in the Y direction ,so acceleration=F(x)/M
when F(x) component in the X direction of the force(FIDN IT USING The ANGLE!);
good luck

EDIT:Cyosis beat me XD
I'm starting to get old :<
 

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