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Chapter 6: Q16 P (page 276)
One mole of helium atoms has a mass of grams. If a helium atom in a balloon has a kinetic energy of, what is the speed of the helium atom? (The speed is much lower than the speed of light.)?
The speed of helium atom is,.
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Figure 6.77 is a graph of the energy of a system of a planet interacting with a star. The gravitational potential energy is shown as the thick curve, and plotted along the vertical axis are various values of
Suppose that of the system is A. Which of the following statements are true? (a) The potential energy of the system decreases as the planet moves from to. (b) When the separation between the two bodies is , the kinetic energy of the system is . (c) The system is a bound system; the planet can never escape. (d) The planet will escape. (e) When the separation between the two bodies is, the kinetic energy of the system is (B 鈭� C). (f) The kinetic energy of the system is greater when the distance between the star and planet is than when the distance between the two bodies is.
Suppose instead that of the system is B. Which of the following statements are true? (a) When the separation between the planet and star is, the kinetic energy of the system is zero. (b) The planet and star cannot get farther apart than. (c) This is not a bound system; the planet can escape. (d) When the separation between the planet and star is, the potential energy of the system is zero.
Question: Give brief explanations for your answers to each of the following questions: (a) You hold a 1 kg book in your hand for 1 min. How much work do you do on the book? (b) In a circular pendulum how much work is done by the string on the mass in one revolution? (c)For a mass oscillating horizontally on a spring, how much work is done by the spring on the mass in one complete cycle? In a half cycle?
An object with mass 7 kgmoves from a location near the Earth's surface to location. What is the change in the potential energy of the system consisting of the object plus the Earth?
You stand on a spherical asteroid of uniform density whose mass is and whose radius is 10Km. These are typical values for small asteroids, although some asteroids have been found to have much lower average density and are thought to be loose agglomerations of shattered rocks.
(a) How fast do you have to throw the rock so that it never comes back to the asteroid and ends up traveling at a speed of 3 m/swhen it is very far away?
(b) Sketch graphs of the kinetic energy of the rock, the gravitational potential energy of the rock plus asteroid, and their sum, as a function of separation (distance from centre of asteroid to rock).
Label the graphs clearly. The asteroid, and their sum, as a function of separation (distance from centre of asteroid to rock).
Label the graphs clearly.
Use energy conservation to find the approximate final speed of a basketball dropped from a height of m (roughly the height of a professional basketball player). Why don't you need to know the mass of the basketball?
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