Distance calculated from Energy

  • Thread starter azncocoluver
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In summary, the particle starts with 0 J kinetic energy and the work done on the particle increases its kinetic energy. Force relates the work to the distance the particle travels. When the particle starts with a velocity of 2m/s in the +x direction, it will travel 2.5m before stopping, starting with 1J of kinetic energy and gaining 1J in the first meter moved. The work done on the particle is equal to the force multiplied by the distance traveled.
  • #1
azncocoluver
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122yhw3.jpg


Please help me with part b, thank you!
 
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  • #2
Complete the following so the sentences are true:

The particle starts with ________J kinetic energy.
Work done on the particle increases/decreases it's kinetic energy.

Now how is the Work related to the distance the particle travels?

To help you properly, really need to see your working.
 
  • #3
The particle starts with 0 J kinetic energy.

Force relates the work to the distance the particle travels.
 
  • #4
The particle starts with 0 J kinetic energy.
Doesn't the particle have some initial velocity?

Select "increases" or "decreases" for the second sentence.
 
  • #5
Well, at x=0, the Force is 2 Newtons but the x is 0, so wouldn't 2N * 0m = 0 J?

Work done on the particle increases it's kinetic energy.
 
  • #6
OK - you've forgotten about the initial velocity. When I read part (b) I see this:

(b) if it starts with a velocity of 2m/s in the +x direction, how far will the particle go in that direction before stopping?

Thus - how much kinetic energy is it starting with?
 
  • #7
Ooh okay, it's 1 J.
 
  • #8
No worries - the eye sometimes skips part of a question. Hate it when that happens :)
 
  • #9
Thanks :] So once I have 1 J, how do I solve for the distance? I added 1 J to the 3 J at x = 4. W = fd so.. 4 J = F d. What would be my F?
 
  • #10
You don't need F. Look at your graph. You did it correctly when you thought you started with 0J energy - do the same thing only starting with 1J

So - you start with 1J
In the first meter moved, you gain 1J (area under F-x graph) for a total of 2J
What happens in the next meter moved?
How far before you've lost all the KE?
 
  • #11
2.5m! Thanks so much, I really appreciate your help :)
 

1. How is distance calculated from energy?

Distance can be calculated from energy using the formula d = √(2E/m), where d is the distance, E is the energy, and m is the mass of the object.

2. What is the relationship between energy and distance?

The relationship between energy and distance is that energy is required to move an object a certain distance. The greater the energy, the farther the distance an object can travel.

3. Can energy be converted into distance?

No, energy cannot be converted directly into distance. However, energy can be used to perform work on an object, which can then result in a change in distance.

4. How does the type of energy affect the calculated distance?

The type of energy does not affect the calculated distance, as the formula for distance only takes into account the total amount of energy and the mass of the object.

5. What are the units for distance calculated from energy?

The units for distance calculated from energy will depend on the units used for energy and mass in the formula. For example, if energy is measured in joules and mass in kilograms, the units for distance will be in meters.

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