Work done when dragging a crate 15m at 37° angle

In summary, the conversation is discussing the amount of work done when a crate is dragged 15m along a horizontal surface at a 37° angle with a rope. The conversation also mentions the presence of gravity and whether or not to consider vertical work. Ultimately, it is determined that the horizontal component of work can be calculated, but without information about external forces, the amount of energy given to the crate cannot be solved.
  • #1
Silverbolt
24
0
A crate is dragged 15m along a horizontal surface by a rope which makes an angle of 37° with the horizontal. How much work is done?
 
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  • #2
How much work do you think is done?
 
Last edited:
  • #3
Is there gravity, if so Earths? Are we neglecting vertical work?
 
  • #4
I THINK we are ignoring the vertical
 
  • #5
@lewando i am not sure where to start with this problem
 
  • #6
Assuming you know W = F*d, you have d, you need F. By "dragged" assume no acceleration. What force would resist your dragging force?
 
  • #7
Okay, just assume there's gravity strong enough that no matter how much work we put into vertical work, it will not move.
Work in this case, is split into two components, vertical and horizontal. Since we are ignoring the vertical component (because we'll assume something like the normal force by the ground + Force applied by you upwards = gravitational force).
So we only have to find the horizontal component.
But we don't even know the force applied yet.
 
  • #8
@Cbray: also m, also μ.
 
  • #9
Is this problem unsolvable?
 
  • #10
We can't solve the amount of energy given to the crate without an external force, so information wise, yes it seems unsolvable unless you were given extra information.
 
  • #11
The frictional reaction force is unknowable. So good call.
 

Related to Work done when dragging a crate 15m at 37° angle

What is work?

Work is defined as the force applied to an object multiplied by the distance the object is moved in the direction of the force.

What is the formula for calculating work?

The formula for calculating work is W = F * d * cosθ, where W is work, F is force, d is distance, and θ is the angle between the force and the direction of motion.

How do you calculate work when dragging a crate 15m at a 37° angle?

To calculate work in this scenario, you would first need to determine the force being applied to the crate. This could be measured using a force meter or by multiplying the mass of the crate by the acceleration due to gravity (9.8 m/s²). Then, you would use the formula W = F * d * cosθ, where F is the force, d is the distance (15m), and θ is the angle (37°). Plug in the values and solve for work.

What unit is work measured in?

Work is measured in joules (J) in the SI system. It can also be measured in other units such as foot-pounds (ft-lb) or calories (cal), depending on the system of measurement being used.

What other factors can affect the work done when dragging a crate?

Other factors that can affect the work done when dragging a crate include the surface the crate is being dragged on, the weight of the crate, the angle at which it is being dragged, and the friction between the crate and the surface. Additionally, the force being applied and the distance the crate is being dragged can also affect the amount of work done.

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