What is the relation between force and potential energy?

F in the definition of potential energy is the force exerted by the force field, e.g., gravity, spring force, etc. The potential energy U is equal to the work you must do against that force to move an object from the U=0 reference point to the position r.

How do you derive potential energy?

The elastic potential energy formula derivation is:

1. U = 1/2 kx2.
2. g = acceleration (9.8 ms-2 on Earth)
3. W = m × g × h = mgh.
4. ΔU = GMm (1/ri – 1/rf) [ ri= initial position and rf= final position ]
5. If ri > rf then ΔU is negative.
6. ri = R and rf = R + h.
7. When, h<

What is potential force?

1. Mechanical force that is calculated as negative gradient of potential function. Usually the potential function is a function of coordinate of mass point and time.

Is velocity a dependent or independent variable?

By convention, velocity is plotted on the vertical axis (since velocity is the dependent variable) and time (the independent variable) is plotted on the horizontal axis.

What is velocity dependent potential?

Velocity-dependent potential functions can sometimes be used to determine the field of force that can be applied in order that particles may move in specified paths. From the velocity-dependent potential function U, the field of force can be calculated by the definition Qp = -(δU/δp) + (d/dt)(δU/δp’).

What is the force equation in term of velocity?

F = m * (v/t), where “m” is the mass of the object, “v” is the desired velocity and t = Time.

How does impulse relate to velocity?

The impulse experienced by an object is the product of force and time. The momentum change of an object is the product of mass and velocity. The impulse equals the momentum change.

What is the relationship between force and acceleration one word answer?

They are directly proportional. If you increase the force applied to an object, the acceleration of that object increases by the same factor. In short, force equals mass times acceleration.

Does force depend on acceleration?

The forces that apply to an object are always the same, no matter what the current acceleration of that object is.

Why is force directly proportional to velocity?

So force is proportional to a change in velocity. (F = m dv/dt, or mass times acceleration.) But it doesn’t have to be. You could have a situation where the velocity doesn’t change and only the mass does. Then you get F = v dm/dt, and the velocity is constant and the force involves only a change in the mass.

How does force affect potential energy of a force field?

The force exerted by the force field always tends toward lower energy and will act to reduce the potential energy. The negative sign on the derivative shows that if the potential U increases with increasing r, the force will tend to move it toward smaller r to decrease the potential energy.

What is the relationship between force and momentum?

Force is defined as the change in momentum with respect to time (F=dp/dt). Momentum is mass times velocity. So force is the change in (mass times velocity) with respect to time: F = d (mv)/dt. In most situations we figure mass is constant.

How do you calculate force if the velocity is constant?

You could have a situation where the velocity doesn’t change and only the mass does. Then you get F = v dm/dt, and the velocity is constant and the force involves only a change in the mass. Force is defined as the change in momentum with respect to time (F=dp/dt).