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Use energy conservation to find speeds and heights

10th grade (Year 11 in England) · 16 questions · Common Core: NGSS.HS-PS3-1, NGSS.HS-PS3-2 · England: GCSE Combined Science: Energy

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  1. Question 1

    A 10 kg object falls 10 m. 25 % of its gravitational potential energy is transferred to the surroundings by air resistance. How much kinetic energy does it have at the bottom, in J? (g = 9.8 N/kg; give 1 decimal place)

    AnswerJ

  2. Question 2

    A skateboarder leaves the bottom of a ramp at 7 m/s. Ignoring friction, what is the greatest height they can reach, in m? (g = 9.8 N/kg; give 2 decimal places)

    Answerm

  3. Question 3

    A ball is dropped from a height of 5 m. Ignoring air resistance, how fast is it moving just before it hits the ground, in m/s? (g = 9.8 N/kg; give 1 decimal place)

    Answerm/s

  4. Question 4

    A 10 kg object falls 5 m. 40 % of its gravitational potential energy is transferred to the surroundings by air resistance. How much kinetic energy does it have at the bottom, in J? (g = 9.8 N/kg; give 1 decimal place)

    AnswerJ

  5. Question 5

    A skateboarder leaves the bottom of a ramp at 7 m/s. Ignoring friction, what is the greatest height they can reach, in m? (g = 9.8 N/kg; give 2 decimal places)

    Answerm

  6. Question 6

    A ball is dropped from a height of 45 m. Ignoring air resistance, how fast is it moving just before it hits the ground, in m/s? (g = 9.8 N/kg; give 1 decimal place)

    Answerm/s

  7. Question 7

    A 5 kg object falls 30 m. 25 % of its gravitational potential energy is transferred to the surroundings by air resistance. How much kinetic energy does it have at the bottom, in J? (g = 9.8 N/kg; give 1 decimal place)

    AnswerJ

  8. Question 8

    A skateboarder leaves the bottom of a ramp at 10 m/s. Ignoring friction, what is the greatest height they can reach, in m? (g = 9.8 N/kg; give 2 decimal places)

    Answerm

  9. Question 9

    A ball is dropped from a height of 2 m. Ignoring air resistance, how fast is it moving just before it hits the ground, in m/s? (g = 9.8 N/kg; give 1 decimal place)

    Answerm/s

  10. Question 10

    A 60 kg object falls 10 m. 40 % of its gravitational potential energy is transferred to the surroundings by air resistance. How much kinetic energy does it have at the bottom, in J? (g = 9.8 N/kg; give 1 decimal place)

    AnswerJ

  11. Question 11

    A skateboarder leaves the bottom of a ramp at 20 m/s. Ignoring friction, what is the greatest height they can reach, in m? (g = 9.8 N/kg; give 2 decimal places)

    Answerm

  12. Question 12

    A ball is dropped from a height of 10 m. Ignoring air resistance, how fast is it moving just before it hits the ground, in m/s? (g = 9.8 N/kg; give 1 decimal place)

    Answerm/s

  13. Question 13

    A 60 kg object falls 30 m. 40 % of its gravitational potential energy is transferred to the surroundings by air resistance. How much kinetic energy does it have at the bottom, in J? (g = 9.8 N/kg; give 1 decimal place)

    AnswerJ

  14. Question 14

    A skateboarder leaves the bottom of a ramp at 5 m/s. Ignoring friction, what is the greatest height they can reach, in m? (g = 9.8 N/kg; give 2 decimal places)

    Answerm

  15. Question 15

    A ball is dropped from a height of 2 m. Ignoring air resistance, how fast is it moving just before it hits the ground, in m/s? (g = 9.8 N/kg; give 1 decimal place)

    Answerm/s

  16. Question 16

    A 0.5 kg object falls 10 m. 20 % of its gravitational potential energy is transferred to the surroundings by air resistance. How much kinetic energy does it have at the bottom, in J? (g = 9.8 N/kg; give 1 decimal place)

    AnswerJ

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Answer key: Use energy conservation to find speeds and heights

  1. 1. 735 J

  2. 2. 2.5 m

  3. 3. 9.9 m/s

  4. 4. 294 J

  5. 5. 2.5 m

  6. 6. 29.7 m/s

  7. 7. 1102.5 J

  8. 8. 5.1 m

  9. 9. 6.3 m/s

  10. 10. 3528 J

  11. 11. 20.41 m

  12. 12. 14 m/s

  13. 13. 10584 J

  14. 14. 1.28 m

  15. 15. 6.3 m/s

  16. 16. 39.2 J