Need help finding potential energy formula

In summary, the conversation discusses taking an integral and plugging in values for an equation. There is confusion about the correct input and the relationship between potential energy and force. The conversation also mentions a potential issue with entering the values.
  • #1
Sneakatone
318
0
I took the integral of the equation but its wrong, the program does not have a fraction input to put 1/4 properly. I ended up with -x^-1/4(x^4).
For part b I plugged in 4.5 and turned the number positive to get the answer.
Did I do something wrong for part a?
 

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  • #2
That you had to turn the number positive should ring a bell.
 
  • #3
If I plugged in 4.5 into the antiderivative then it would be -122 and that's not correct
 
  • #4
What is the relationship between F and U?
 
  • #5
F=U/x
 
  • #6
You need a review on that.
 
  • #7
force is the derivative of potential energy which means the antiderivative of force is potential energy
 
  • #8
That's not exactly correct. Why do you think you had to massage the sign to make the ends meet?
 
  • #9
is it because U(x)=0
 
  • #10
Stop guessing. Get your textbook, and find out how potential energy and force are related.
 
  • #11
F=-dU/dx
but when I put in x^2+1/4x^4 or -(-x^2-1/4^4) it is still wrong
 
  • #12
For F(x) = -2x - x^3, U(x) = x^2 + (x^4)/4 is correct. I do not know why it is not accepted. Perhaps there is some particular way you should enter it.
 
  • #13
when I input that it says ''this is not a definite integral''
 

FAQ: Need help finding potential energy formula

What is potential energy?

Potential energy is the energy that an object possesses due to its position or state. It is stored energy that can be converted into other forms of energy, such as kinetic energy.

How is potential energy measured?

Potential energy is measured in joules (J) in the metric system. In the English system, it is measured in foot-pounds (ft-lb).

What are the different types of potential energy?

There are several types of potential energy, including gravitational potential energy, elastic potential energy, and chemical potential energy. Gravitational potential energy is due to an object's height and mass, elastic potential energy is due to an object's deformation, and chemical potential energy is due to the chemical bonds in a substance.

What is the formula for gravitational potential energy?

The formula for gravitational potential energy is PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (9.8 m/s^2 on Earth), and h is the height of the object above the ground.

How can potential energy be converted into other forms of energy?

Potential energy can be converted into other forms of energy through work, which is the transfer of energy from one object to another. For example, an object at the top of a hill has potential energy due to its height. When it rolls down the hill, the potential energy is converted into kinetic energy, the energy of motion.

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