Potential energy negative, force & displacement co-linear?

In summary, potential energy is the stored energy of an object due to its position or configuration, which can be converted into other forms. Negative potential energy indicates a lower energy state compared to a reference level, and is influenced by the object's position and the reference level's energy state. Potential energy is directly related to force, as an object's position changes, so does its potential energy. Co-linear displacement refers to an object's motion in a straight line, with the starting and ending points also being in a straight line. This type of displacement can result in negative potential energy if the object moves in the opposite direction of the force acting on it.
  • #1
CivilSigma
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Homework Statement


In the following question, in the solution, why is it that when they calculate the gravitational potential energy at point 2 (impact with spring), it is negative? I know that if both the force and displacement act in the same direction, then the work done should be positive. Why is it not the same thing here?
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  • #2
I think they mean both answers could work when the equation is solved...however one answer would obviously make more sense in this case.
 
  • #3
Oh sorry about that being un-clear. I mean for $$V_g = mgh_2 = (50)(9.81)(-x \sin 20)$$

why is it negative?
 

FAQ: Potential energy negative, force & displacement co-linear?

What is potential energy?

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

What does negative potential energy mean?

Negative potential energy means that the object is in a lower energy state compared to its reference level. This can occur when the object is below the reference level or when the reference level is set at a higher energy state.

How does potential energy relate to force?

Potential energy is directly related to force. As an object's position changes, its potential energy changes, and this change is equal to the work done by the force acting on the object.

What is co-linear displacement?

Co-linear displacement refers to the displacement of an object in a straight line. This means that the starting and ending points of the object's motion are in a straight line, and the displacement is measured along this line.

Can potential energy be negative with co-linear displacement?

Yes, potential energy can be negative with co-linear displacement. This can occur when the object moves in the opposite direction of the force acting on it, resulting in a decrease in potential energy.

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