Kinetic and Gravitational Potential Stores · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Swapping height for speed

Science · Energy · ages 15-16
Name ______________________   Date ____________
  1. A 0.2 kg ball sits 1.8 m up (g = 10 N/kg). What is its gravitational store in J?

    Answer: ______________

  2. What is the kinetic energy equation?

    • Half m v squared
    • m v
    • m g h
  3. Doubling the speed doubles the kinetic store.

    Circle one:   True   False

  4. A 5 kg box rises 2 m (g = 10 N/kg). What is its gain in gravitational store?

    • 10 J
    • 20 J
    • 100 J
  5. A 2 kg mass moves at 3 m/s. What is its kinetic store in J?

    Answer: ______________

  6. The 0.2 kg ball falls 1.8 m. Which statement describes the energy swap?

    • KE + GPE disappears
    • Loss in GPE = gain in KE
    • Loss in KE = gain in GPE
  7. A ball is thrown upward at 6 m/s. Which calculation finds its maximum rise height?

    • Multiply 6 by the mass
    • Equate m g h to the launch kinetic store
    • Divide top speed by g twice
  8. A 0.5 kg ball lands with 16 J of kinetic energy. What is its landing speed in m/s?

    Answer: ______________

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Answer key

For grown-ups. Fold this page away before handing over the rest.

Swapping height for speed W1-mt_uD3jklaZCw-s1

  1. 3.6 · 0.2 times 10 times 1.8 = 3.6 J.
  2. Half m v squared · Kinetic = half times mass times speed squared.
  3. False · Speed is squared, so doubling the speed quadruples the store.
  4. 100 J · 5 times 10 times 2 = 100 J.
  5. 9 · Half times 2 times 3 squared = 9 J.
  6. Loss in GPE = gain in KE · Falling trades height store for motion store, joule for joule.
  7. Equate m g h to the launch kinetic store · Launching asks for rise height: set the height store equal to the launch motion store.
  8. 8 · Half times 0.5 times v squared = 16 gives v squared = 64, so v = 8.
Worksheet · LightMySky