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Which of the following statements about gravitational potential energy (U) is tr

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Question: Which of the following statements about gravitational potential energy (U) is true?

Options:

  1. U increases as two masses move closer together
  2. U decreases as two masses move closer together
  3. U is always positive
  4. U is independent of distance

Correct Answer: U decreases as two masses move closer together

Solution:

Gravitational potential energy decreases as two masses move closer together, as U = -G * (m1 * m2) / r.

Which of the following statements about gravitational potential energy (U) is tr

Practice Questions

Q1
Which of the following statements about gravitational potential energy (U) is true?
  1. U increases as two masses move closer together
  2. U decreases as two masses move closer together
  3. U is always positive
  4. U is independent of distance

Questions & Step-by-Step Solutions

Which of the following statements about gravitational potential energy (U) is true?
  • Step 1: Understand what gravitational potential energy (U) is. It is the energy an object has due to its position in a gravitational field.
  • Step 2: Know the formula for gravitational potential energy: U = -G * (m1 * m2) / r, where G is the gravitational constant, m1 and m2 are the masses, and r is the distance between the centers of the two masses.
  • Step 3: Recognize that as the distance (r) between the two masses decreases, the value of U becomes less negative (or increases).
  • Step 4: Conclude that gravitational potential energy decreases (becomes more negative) as the two masses move closer together.
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