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Gravitational PE

U = −GMm/r

Where: G = gravitational constant (N·m²/kg²), M = mass (kg), U = potential energy (J), m = mass (kg), r = radius / distance (m)

Solved example

Given: G = 7, M = 5, m = 10, r = 4
Find: U (potential energy (J))

  1. Formula: U = -G·M·m/r
  2. Substitute the values: U = -10·5·7/4
  3. Result: U = -87.5 J

Answer: U = -87.5 J

Calculator

How to calculate Gravitational PE

  1. Write down the formula: U = −GMm/r.
  2. Note the known values (G, M, m, r).
  3. Substitute them and simplify to find U.
  4. Use the calculator above to solve for any letter.

Frequently asked questions

What is the formula for Gravitational PE?

The formula is U = −GMm/r, where G = gravitational constant (N·m²/kg²), M = mass (kg), U = potential energy (J), m = mass (kg), r = radius / distance (m).

What is Gravitational PE when G = 7, M = 5, m = 10, r = 4?

U = -87.5 J. Substitute the values into U = −GMm/r and simplify.

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