Work of an Object moving down Inclined Plane

In summary, the experiment involved an inclined plane with a pulley system attached to a car. A 208g weight was used to cause the car to move down the plane at a constant velocity. The work done by the suspended mass was negative due to its direction being up the incline while the moment was down the incline. The block weighed 474g and the goal was to find the work done by gravity. Conservation of energy was used and the final calculation resulted in a work of 5,806,500 erg.
  • #1
Astrum
269
5

Homework Statement


Experiment set up.
A 208g weight is attached via a pulley system to a block on an inclined plane. What is the work done by the suspended mass as the car is lowering at a constant velocity? And work done by gravity?

Distance weight moves down - 24.7cm
Incline is 30 degrees

Homework Equations


[itex]F=ma[/itex]
[itex]w=Fdcos(\theta)[/itex]


The Attempt at a Solution


So, in this case, work would be negative, right? Because the direction of the force from the suspended mass is going UP the incline, and the direction of moment is DOWN the incline?

The block is 474g

I'm not sure where to start. If I use the basic work formula and do
[itex]\(-208*980)*24.7[/itex]?
 
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  • #2
The thing losing energy is doing the work.
The description of the experiment is incomplete - we are told about the suspended mass and then some car is introduced out of nowhere... but it looks like you are expected to use conservation of energy. Your descriptions of what you have tried are also incomplete so it is not clear what you have done.

Try expressing your working symbolically - do all the algebra before you put numbers in.
 
  • #3
Simon Bridge said:
The thing losing energy is doing the work.
The description of the experiment is incomplete - we are told about the suspended mass and then some car is introduced out of nowhere... but it looks like you are expected to use conservation of energy. Your descriptions of what you have tried are also incomplete so it is not clear what you have done.

Try expressing your working symbolically - do all the algebra before you put numbers in.

Sorry, I wrote it really quickly.

The setup was an inclined plane with a pulley system which was set off the leg of the triangle. The pulley system was attached to the car. We had to set a weight on the pulley so that the car would go down the plane with a constant velocity.

I'm really not sure what to do. The car is moving down the car, therefore losing potential energy. If work can be defined as the difference in U.

So, if then ΔU= (474*980*12.5)-(474-980*0)= 5,806,500 erg?
 

1. What is an inclined plane?

An inclined plane is a flat surface that is tilted at an angle, typically used to make it easier to move objects up or down.

2. How does an object move down an inclined plane?

When an object is placed on an inclined plane, the force of gravity pulls it down the slope while the normal force (perpendicular to the plane) balances out the force component of gravity that is parallel to the plane. This results in the object moving down the inclined plane.

3. What factors affect the work of an object moving down an inclined plane?

The work of an object moving down an inclined plane is affected by the angle of the incline, the mass of the object, and the force of gravity acting on the object.

4. How is the work of an object calculated when moving down an inclined plane?

The work of an object moving down an inclined plane is calculated by multiplying the force of gravity (mg) by the distance traveled along the incline. This can be represented by the equation W = mgd cosθ, where θ is the angle of the incline.

5. Is the work of an object moving down an inclined plane always less than the work of lifting the same object straight up?

Yes, the work of an object moving down an inclined plane is always less than the work of lifting the same object straight up. This is because the distance traveled along the incline is longer than the vertical distance traveled when lifting the object straight up, resulting in a smaller work done.

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