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The same way you get the second derivative from any function. Assuming you have a function that expresses potential energy as a function of time, or perhaps as a function of position, you take the derivate of this function. This will give you another function. Then, you take the derivate of this derivative, to get the second derivative.

Q: How do you get the second derivative of potential energy?

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Yes rocks do have potential energy. Potential energy is defined as energy stored within a physical system. It is called potential because it has the potential to be converted into other forms of energy, such as kinetic energy which can do work in the process. This means that a rock can have potential energy as simple as, a rock held at an elevation. If dropped it's potential energy is then being converted to kinetic energy.

Voltage is an energy per unit charge - if it takes "x" joules to move a charge of 1 coulomb from one point to another, then there is a "voltage" of "x" volts. The energy in question, of course, is a type of potential energy. In other words, a voltage does not have the dimensions of energy, but rather, energy per unit charge.

Energy of position is called potential enrgy. For example, a rock at a certain height has more energy than when it is at ground level - when it falls down, this energy can be converted into other energy forms. In this case, of gravitational potential energy, the amount of energy is calculated as mgh (mass x gravity x height). Gravity is about 9.8 meters per second square.

Gravitational Force, F, is the derivative of Gravitational Energy E; F=XE = (d/dr + Del)E. Energy has units of Joules and Force has units of Newtons.

chemical potential energy

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Yes rocks do have potential energy. Potential energy is defined as energy stored within a physical system. It is called potential because it has the potential to be converted into other forms of energy, such as kinetic energy which can do work in the process. This means that a rock can have potential energy as simple as, a rock held at an elevation. If dropped it's potential energy is then being converted to kinetic energy.

The Geometrical meaning of the second derivative is the curvature of the function. If the function has zero second derivative it is straight or flat.

All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2

Try to guess it. Hint: Look at each of the words that make up the phrase "gravitational potential energy", especially the second one.

The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.

well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.

Voltage is an energy per unit charge - if it takes "x" joules to move a charge of 1 coulomb from one point to another, then there is a "voltage" of "x" volts. The energy in question, of course, is a type of potential energy. In other words, a voltage does not have the dimensions of energy, but rather, energy per unit charge.

Try to guess it. Hint: Look at each of the words that make up the phrase "gravitational potential energy", especially the second one.

It is a form of potential energy.

Energy of position is called potential enrgy. For example, a rock at a certain height has more energy than when it is at ground level - when it falls down, this energy can be converted into other energy forms. In this case, of gravitational potential energy, the amount of energy is calculated as mgh (mass x gravity x height). Gravity is about 9.8 meters per second square.

2x is the first derivative of x2.

2x is the first derivative of x2.