Field Theory Worksheet

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Problems

1. What is the gravitational field strength at the surface of a planet if 5.3 kg of mass experiences 67.2 N of downward force due to gravity?

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2. What force does a 34 N/kg gravitational field exert on a 72.5 kg mass?

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3. What is the force of gravity between a 674 kg object that is 7.15x106 m from earth’s center? (Earth has a mass of 5.97x1024 kg)

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4. At what distance from the center of the moon is the force of gravity on a 100.0 kg mass 5.00 N? (The moon has a mass of 7.35x1022 kg)

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5. What is the change in gravitational potential (in J/kg) if it takes 812 J of energy to lift a 34 kg object from the floor to a shelf? If g is 9.81 N/kg, what is the shelf height?

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6. A 117 kg mass falls freely from rest through a gravitational potential difference of 45 J/kg. What potential energy in J does it turn into kinetic energy, and what is its final velocity?

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7. What is the gravitational potential (in J/kg) 12 cm from the center of a 212 kg ball of lead?

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8. What is the gravitational potential (in J/kg) at the surface of the moon? (The moon has a mass of 7.35x1022 kg and a radius of 1.737x106 m)

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9. The earth has a mass of 5.97x1024 kg, and a radius of 6.38x106 m. What work does it take to bring a 5.00 kg object from the surface of the earth to an elevation of 4.15x106 m above the earth’s surface? How does that compare to the same calculation using Ep =mgh, where we assume g is a uniform 9.81 N/kg

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10. An object approaches the moon. ( Moon’s mass: 7.35 x 1022 kg, radius: 1.737 x 106 m) If the object is going 1210 m/s when it is 2.26 x 106 m from the moon’s center, what is its speed when it strikes the surface?

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11. How much work does it take to move two 4.5x106 kg spheres whose centers are separated by 3.5 m initially, so that their centers are separated by 7.8 m?

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12. What is the gravitational field strength on the surface of the moon with a radius of 1.737x106 m, and a mass of 7.35x1022 kg?

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13. What is the radius of a neutron star with a gravitational field strength of 3.4x1013 N/kg, and a mass of 8.13x1031 kg?

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14. The top of a hill is 420 J/kg higher in gravitational potential than the bottom. What work does it take to lift a 5.0 kg object from the bottom of the hill to the top? If the g is 9.81 N/kg, how high is the hill?

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15. Question

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16. Question

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17. Question

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18. Question

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19. Question

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20. Question

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21. Question

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22. Question

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23. Question

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24. Question

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25. Question

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26. Question

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27. Question

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28. Question

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29. Question

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30. Question

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