If by some phenomenon the Earth contracts to one half of its present size, then the value of gravitational potential energy becomes:
Correct answer: A. Double
- A. Double
- B. One-half
- C. Remains the same
- D. Four times
Explanation
The formula for gravitational potential energy is U = -GMm/r Hence, U = 1/r. If r/2, then U = 1/(r/2). Therefore U = 2(1/r), the gravitational potential energy is doubled.
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About Law of Universal Gravitation
Every two masses attract each other with a force proportional to the product of their masses and inversely proportional to the square of their separation, expressed as F = Gm₁m₂/r². Questions also involve the gravitational constant, vector direction, superposition of gravitational forces, and the distinction between gravitational force and gravitational field strength.
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