Graph of energy against distance

In summary, the discussion revolved around the graph of kinetic energy against distance for a book sliding on a table with friction. It was concluded that the graph would be a decreasing line from the initial kinetic energy to zero, with the equation of the line determined by the initial kinetic energy and the distance the book slides. It was also noted that the variation of energy against speed and time would be the same, with a constant negative gradient. The moderator reminded the participants to follow the forum rules and guidelines.
  • #1
arv88
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MODERATOR'S NOTE: THIS WAS MOVED FROM GENERAL PHYSICS TO HOMEWORK FORUM, SO THERE IS NO TEMPLATE

Suppose a book is given a force F across a table with with friction. It will have an initial velocity v until it comes to rest due to friction. Does anyone know what will be the graph of kinetic energy against distance?
 
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  • #2
Since the force of friction is constant, won't it just be a decreasing line from the initial value to zero?
 
  • #3
Do you mean a straight line with a constant negative gradient, is there an equation for this?
 
  • #4
arv88 said:
Do you mean a straight line with a constant negative gradient, is there an equation for this?

Yes, of course. But this looks like a homework problem, so there are details profs leave to the diligent student.

The vertical intercept will be (0, Ei), where Ei is the initial kinetic energy.

The horizontal intercept will be (d, 0), where d is the distance the book slides.

Figure out Ei and d, and then figure out the equation of the line from the two points.
 
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  • #5
Alright, thanks, just for additional info, is the variation of the energy against speed and time the same as well, that is a constant negative gradient?
 
  • #6
arv88 said:
Alright, thanks, just for additional info, is the variation of the energy against speed and time the same as well, that is a constant negative gradient?
If this is not a homework problem, it like a homework problem, and should be in the homework forum. I'm moving it. Also, OP, you have shown no effort to solve this problem. Please see the PF rules and guidelines.

Chet
 

1. What is a graph of energy against distance?

A graph of energy against distance is a visual representation of the relationship between energy and distance. It shows how the energy of a system changes as the distance between its components changes.

2. How is the graph of energy against distance typically plotted?

The graph is typically plotted with energy on the y-axis and distance on the x-axis. The data points are connected by a line to show the overall trend of the relationship between energy and distance.

3. What types of energy can be plotted on the graph?

Any type of energy can be plotted on the graph, such as potential energy, kinetic energy, or thermal energy. The type of energy being plotted depends on the specific system being studied.

4. What can the graph of energy against distance tell us?

The graph can tell us about the energy changes that occur as distance changes in a system. It can also show the stability or instability of a system at different distances.

5. How can the graph of energy against distance be useful in scientific research?

The graph can be useful for understanding the behavior of different systems, predicting energy changes and stability, and identifying relationships between energy and distance in various scientific phenomena.

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