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Attempts 127

A ball is at the top of a hill. Which factor, or factors, is responsible for its potential energy?

  1. A
    its position and its mass
  2. B
    its acceleration and its position
  3. C
    its mass
  4. D
    Its circular shape

Topic Flashcards

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Question

What two properties of an object does its gravitational potential energy directly depend on?

Answer

Its mass (m) and its height/position above a reference point (h).

Question

A 2 kg book and a 4 kg book are sitting on the same shelf. Which has more gravitational potential energy, and why?

Answer

The 4 kg book has more GPE. At the same height (h), GPE is directly proportional to mass (m). Since the 4 kg book has twice the mass, it has twice the GPE, assuming 'g' is the same.

Question

The same 5 kg box is placed on a 1-meter tall table and then a 3-meter tall shelf. In which position does it have greater potential energy, and what is the factor of increase?

Answer

On the 3-meter shelf. Its GPE is three times greater. With the same mass, GPE is directly proportional to height (h). Tripling the height (from 1m to 3m) triples the GPE.

Question

If an object's mass is doubled and its height is also doubled, by what factor does its gravitational potential energy change?

Answer

It increases by a factor of 4. GPE = m*g*h. If you double mass (2m) and double height (2h), the new GPE = (2m)*g*(2h) = 4(mg*h). So it becomes four times the original.

Question

Why is "acceleration" not a direct factor in the potential energy stored in the ball on the hill?

Answer

Acceleration due to gravity (g) is the environmental constant that enables potential energy, but it is not a property of the ball. The factors responsible for the ball's energy are its own mass and its position in that gravitational field.

Mini Quiz

1 / 3
Does a 10 kg ball 2 meters high have the same gravitational potential energy as a 2 kg ball 10 meters high (on the same planet)?
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