By Jerry B. Marion
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Extra resources for Physics in the Modern World. Student's Guide
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E. = mgh. You should know that h in this equation refers to the net height raised. 9. You should know that only differences in energy are physically meaningful. r 61 CHAPTER 7 10. You should understand what is meant by the efficiency of a machine, 11· You should remember and know the meaning of the Einstein mass-energy 2 equation, Ε = mc . E. Ε· = 2 Mass-energy: Ε - mc 62 mgh CHAPTER 7 Examples 1. A 10-kg mass is originally at rest. A force of 20 Ν is applied to the mass for a period of 30 s. What kinetic energy does the mass acquire?
You should be able to give an example of each force at work. You should know that both of the nuclear forces are short-range forces. Important Equations and Numbers 2 Kepler's third law: = constant R 17171 Έ Gravitational force law: 1! 60 χ 10 qq F Ε Electrical force constant: = Κ Κ C l 2 —ττΖ r 9 = 9 χ 10 50 2 2 N-m /C 2 2 N-m /kg CHAPTER 6 Examples 1. Calculate the gravitational force on an object of mass M due to the Earth and due to the Moon at a point Ρ that is 9/10 of the way from the center of the Earth to the center of the Moon.
Explain how the conservation of linear momentum for the system of particles follows from Newton's third law. 43 CHAPTER 5 5. Consider a dumbbell of length 4 m . At one end of the dumbbell there is a mass of 8 kg, and a mass of 10 kg at the other. Where is the center of mass of the dumbbell? 6. Consider again the dumbbell of Exercise 5. Calculate the magnitude of the torque due to gravity about the mid-point of the dumbbell when the line of the dumbbell is horizontal. 7. Consider three masses M9 and all in a line.