GPE Deriv.: Integral Limits & Why Keep Inf. as Lower Limit?

Thread starter Miraj Kayastha
Start date Aug 18, 2014
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Gpe Integral Limits

In summary, a GPE derivative is a mathematical concept that represents the rate of change of gravitational potential energy with respect to a specific variable, such as distance or mass. Integral limits in GPE derivatives refer to the boundaries of integration, which determine the range over which the derivative will be calculated. It is important to keep infinity as the lower limit in GPE derivatives because it is an essential part of the equation and ensures accuracy. However, in certain cases, the lower limit can be a finite number, depending on the specific conditions and boundaries of the problem.

Aug 18, 2014

Miraj Kayastha

Why is infinite kept as a lower limit in the derivation of gravitational potential energy? Shouldn't the lower limit be smaller than the upper limit?

http://hyperphysics.phy-astr.gsu.edu/hbase/gpot.html

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Aug 18, 2014

Mr-R

GPE is the energy needed to bring the object from infinity to r.

Related to GPE Deriv.: Integral Limits & Why Keep Inf. as Lower Limit?

1. What is a GPE derivative?

A GPE derivative is a mathematical concept that represents the rate of change of gravitational potential energy with respect to a specific variable, such as distance or mass.

2. What are integral limits in GPE derivatives?

Integral limits in GPE derivatives refer to the boundaries of integration for a given problem. These limits determine the range over which the derivative will be calculated.

3. Why is it important to keep infinity as the lower limit in GPE derivatives?

Infinity represents the point at which distance or mass becomes infinitely large, making it an essential part of the equation for calculating GPE derivatives. Keeping it as the lower limit ensures that the integral is properly defined and accurate.

4. Can the lower limit in a GPE derivative be a finite number?

Yes, the lower limit in a GPE derivative can be a finite number in certain cases, such as when the problem has a specific boundary or when only a certain range of values is relevant to the calculation.

5. How is the lower limit determined in GPE derivative problems?

The lower limit in GPE derivative problems is determined by the specific conditions and boundaries of the problem. It may be given explicitly or inferred from the context of the problem.