Calculating Work Done on a Box Being Pulled up a Ramp

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In summary, a box on a frictionless ramp is pulled by a rope at an angle of 50° to the ground with a tension of 350 N. The ramp has an angle of incline of 20° and the box is pulled a distance of 5 m. Using the equation W=FdcosI, the work done is calculated to be 1644J. However, there was a typo in the calculation, with 250 instead of 350 being used, but the solution is still correct.
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Homework Statement


Suppose a box on a frictionless ramp is being pulled by a rope with a tension of 350 N making an angle of 50° to the horizontal ground. If the angle of incline of the ramp is 20°, and the box is pulled 5 m, determine the amount of work done. Hint: Draw a diagram and use vectors to represent the situation.


Homework Equations


W=FdcosI


The Attempt at a Solution


AC/AB= cos20degress
AC=ABcos20
=350cos20degrees
=39

W=HdcosI
= (5)(250cos20)
=1644J

The work done is 1644J

Is this solution correct?
 
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  • #2
There is a mistake in your last calculation although the solution is correct. This should have been posted in Introductory physics, as I assume this was for a physics class?
 
  • #3
Sorry I didn't know this was the wrong place to post. What is the mistake that I made?
 
  • #4
A typo- you have "250" rather than "350".:biggrin:
 

FAQ: Calculating Work Done on a Box Being Pulled up a Ramp

What is the purpose of pulling a box up a ramp?

The purpose of pulling a box up a ramp is to decrease the amount of force needed to move the box from one point to another. By using a ramp, the force required to move the box is spread out over a longer distance, making it easier to lift the box.

How does the angle of the ramp affect the force needed to pull the box?

The steeper the angle of the ramp, the more force is required to pull the box up. This is because the steeper the ramp, the greater the vertical distance the box must be pulled, which requires more work.

What factors affect the friction between the box and the ramp?

The factors that affect friction between the box and the ramp include the material and texture of the ramp and the box, the weight of the box, and any external forces acting on the box.

Can the box slide down the ramp on its own?

If the ramp is at a steep angle and there is minimal friction between the box and the ramp, it is possible for the box to slide down the ramp on its own. However, if there is enough friction, the box will stay in place or require force to move down the ramp.

How does the weight of the box affect the force needed to pull it up the ramp?

The heavier the box, the more force is needed to pull it up the ramp. This is because the weight of the box adds to the force of gravity, making it harder to lift the box against the force of gravity.

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