Potential energy graph x-component

AI Thread Summary
The x-component of the force on a particle can be determined using the formula |F| = -dU/dx, where U represents potential energy. At x=15 cm, the force is zero, indicating a point of equilibrium. To find the force at x=5, 25, and 35 cm, one must calculate the slope of the potential energy graph at those points. A positive slope indicates increasing potential energy, while a negative slope indicates decreasing potential energy. Understanding these concepts is crucial for analyzing forces in one-dimensional motion.
psingh
Messages
18
Reaction score
0
What is the x-component of the force on the particle at x=5, 15, 25, and 35 cm

i thought it was just the slope?!? but I am wrong ,some help?

x=15 i know F=0
 

Attachments

  • graph.jpg
    graph.jpg
    5.8 KB · Views: 1,152
Physics news on Phys.org
psingh said:
What is the x-component of the force on the particle at x=5, 15, 25, and 35 cm

i thought it was just the slope?!? but I am wrong ,some help?

x=15 i know F=0


so close!

there's a formula that should be in your text:

|F| = - dU/dx. (direction is along the x-axis.)

(if, like in this problem, we are only concerned with one dimension.)

in three dimensions, F = - grad U
 
oye you're right neg. slope =] thankss
 
In differential form , the relation is fiven by

F = \frac{-dU}{dR}

Just find the slope of the tangents at each of the given x-coordinates . The answer will be positive or negative depending on whether Potential is decreasing or increasing at that point.

BJ
 
Last edited:
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top