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Chapter 1: Q13E (page 295)
A turntable rotates with a constantangular acceleration. After 4.00 s it has rotated through an angle of 30.0 rad. What was the angular velocity of the wheel at the beginning of the 4.00-s interval?
The required angular velocity is 3 rad/s.
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Hot Jupiters. In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star (hence the term 鈥渉ot Jupiter鈥�). The orbit was just the distance of Mercury from our sun, and it takes the planet onlydays to make one orbit (assumed to be circular). (a) What is the mass of the star? Express your answer in kilograms and as a multiple of our sun鈥檚 mass. (b) How fast (in km>s) is this planet moving?
In Wagner鈥檚 opera Das Rheingold,the goddess Freia is ransomed for a pile of gold just tall enough and wide enough to hide her from sight. Estimate the monetary value of this pile. The density of gold is 19.3 g/cm3, and take its value to be about $10 per gram.
At what distance above the surface of the earth is the acceleration due to the earth鈥檚 gravity 0.980 m/s2 if the acceleration due to gravity at the surface has magnitude 9.8 m/s2?
A physics professor leaves her house and walks along the sidewalk toward campus. After 5 min, it starts to rain, and she returns home. Her distance from her house as a function of time is shown in Fig. E2.10 At which of the labeled points is her velocity (a) zero? (b) constant and positive? (c) constant and negative? (d) increasing in magnitude? (e) decreasing in magnitude?
An astronaut has left the International Space Station to test a new space scooter.
Her partner measures the following velocity changes, each taking place in a interval.
What are the magnitude, the algebraic sign, and the direction of the average acceleration in each interval?
Assume that the positive direction is to the right.
(a) At the beginning of the interval, the astronaut is moving toward the right along the x-axis at , and at the end of the interval she is moving toward the right at .
(b) At the beginning she is moving toward the left atrole="math" localid="1655276110547" , and at the end she is moving toward the left at .
(c) At the beginning she is moving toward the right at , and at the end she is moving toward the left atrole="math" localid="1655276636193" .
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