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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman
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Some Typical Kinetic Energies. (a) In the Bohr model of

Chapter 3, Problem 16E

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QUESTION:

Some Typical Kinetic Energies.? (a) In the Bohr model of the atom, the ground-state electron in hydrogen has an orbital speed of 2190 km/s. What is its kinetic energy? (Consult Appendix F.) (b) If you drop a 1.0-kg weight (about 2 lb) from a height of 1.0 m, how many joules of kinetic energy will it have when it reaches the ground? (c) Is it reasonable that a 30-kg child could run fast enough to have 100 J of kinetic energy?

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QUESTION:

Some Typical Kinetic Energies.? (a) In the Bohr model of the atom, the ground-state electron in hydrogen has an orbital speed of 2190 km/s. What is its kinetic energy? (Consult Appendix F.) (b) If you drop a 1.0-kg weight (about 2 lb) from a height of 1.0 m, how many joules of kinetic energy will it have when it reaches the ground? (c) Is it reasonable that a 30-kg child could run fast enough to have 100 J of kinetic energy?

ANSWER:

Solution 16E Step 1 of 5: (a) In the Bohr model of the atom, the ground-state electron in hydrogen has an orbital speed of 2190 km/s. What is its kinetic energy (Consult Appendix F.) In the given problem, we need to calculate kinetic energy of electron in ground state moving with speed v=2190 km/s and mass m = 9.1e9 × 10 31kg To convert speed from km/s to m/s 3 3 Using 1km =10 m v=2190× 10 m/s The kinetic energy of the electron is given by, 1 2 KE= 2 m e Substituting v=2190× 10 m/s and m = 9.e09 × 10 31kg 1 31 3 2 KE= 2 (9.109 × 10 kg)(2190 × 10 m/s) 19 KE = 21.84× 10 J

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