Mass of Saturn Titan, the largest natural satellite of Saturn, takes 15.945 Earth days for one complete orbit. The semi-major axis of Titan’s orbit around Saturn is 1.22 = 106 km. Find the mass of Saturn. Assume that the mass of Titan is much less than the mass of Saturn.
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Nuclear Physics
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Meteor Speeds Estimate the speed that a meteoroid attains when it ablates as a meteor in Earth’s upper atmosphere (see Figure 11-15). Use the following simplifying assumptions in obtaining the estimate: • The meteoroid started from rest at such a great distance from Earth that the two can be considered to have been infinitely far apart. • The influence of all other objects (e.g., the Sun and the Moon) is negligible. • Earth’s upper atmosphere does not significantly slow the meteoroid up to the time of ablation, about 90 km above the surface.
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Schwarzschild radius of a Stellar Black Hole One of the stellar black holes detected by LIGO in 2015 (see Chapters 29 and 30) had a mass of about 36 times the mass of the Sun. What is the corresponding Schwarzschild radius?
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Speed in Circular Orbit Show that the speed given by Equation 11-38 is consistent with Newtonian mechanics and the law of universal gravitation for a circular orbit.
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The Sun’s Gravitational Force (a) Find the gravitational force exerted by the Sun on a 50.0 kg person on Earth. (b) Find the gravitational force exerted by Earth on the same person.
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Asteroid Orbit An asteroid has a perihelion distance of 0.50 AU and an aphelion distance of 2.50 AU. (a) What is the semi-major axis (in AU)? (b) What is the period of the orbit, in years? (c) What is the eccentricity of the orbit? (d) What is the speed of the asteroid when it is at aphelion?
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Mashing A particular recipe for home-brewed beer calls for 3.00 kg of crushed barley to be mixed with 14.0 L of water. The desired temperature of the mixture is 66.0℃. The crushed barley is at room temperature, and malted barley has a specific heat of 1600 J/(kg•K). what should the initial temperature of the water be?
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Nuclear Physics
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Using Specific Heat A 20.0 g block of copper at a temperature of 100.℃ is placed in good thermal contact with a 40.0 g block of copper that is at 10.0 ℃. What is the final temperature?