Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 38, Problem 51AP
(a)
To determine
To show: The radius of the sphere is given by
(b)
To determine
The numerical value of the radius of the sphere.
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Provide the answers in 2 hours, and count as 2 questions if necessary.
Consider the process of escaping from the solar system starting from the surface of Earth. Assume there are no other bodies involved. Earth has an orbital speed about the Sun of 29.8 km/s. Hint:
2GM
does not apply. Use mv,?
GM_m GM m
2
GM-m
GMs" which includes the potential energy of both Earth and the Sun.
2.5
V.
esc
2,E
(a) What minimum speed relative to Earth (in km/s) would be needed?
km/s
In what direction should you leave Earth?
O opposite the direction of Earth's orbital velocity
O towards the Sun
O away from the Sun
O in the direction of Earth's orbital velocity
(b) What will be the shape of the trajectory?
O a circle
O an ellipse
O a hyperbola
O a parabola
An alien spaceship, passing through our solar system, observes us by reflected sunlight from earth’s surface. We know the escape velocity from earth’s surface is vesc = √(2GME/RE). Suppose we can (magically) compress earth radius to a very small size RS so that the escape velocity equals the speed of light c. In that case, nothing, not even light, can escape earth’s gravity and the alien spaceship will observe us as a “dark black hole”! What would be the value of RS? (RS is called the Schwarzschild radius.)
a) 8.8 cm
b) 8.8 mm
c) 8.8 m
Chapter 38 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 38.1 - Which observer in Figure 38.1 sees the balls...Ch. 38.1 - Prob. 38.2QQCh. 38.4 - Suppose the observer O on the train in Figure 38.6...Ch. 38.4 - Prob. 38.4QQCh. 38.4 - Prob. 38.5QQCh. 38.4 - You are observing a spacecraft moving away from...Ch. 38.6 - You are driving on a freeway at a relativistic...Ch. 38.8 - Prob. 38.8QQCh. 38 - In a laboratory frame of reference, an observer...Ch. 38 - Prob. 2P
Ch. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - An astronaut is traveling in a space vehicle...Ch. 38 - Prob. 7PCh. 38 - You have been hired as an expert witness for an...Ch. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - A cube of steel has a volume of 1.00 cm3 and mass...Ch. 38 - Review. In 1963, astronaut Gordon Cooper orbited...Ch. 38 - You have an assistantship with a math professor in...Ch. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - A moving rod is observed to have a length of =...Ch. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - You have been hired as an expert witness in the...Ch. 38 - Figure P38.21 shows a jet of material (at the...Ch. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - (a) Find the kinetic energy of a 78.0-kg...Ch. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - An unstable particle with mass m = 3.34 1027 kg...Ch. 38 - Prob. 41PCh. 38 - Prob. 42APCh. 38 - Prob. 43APCh. 38 - Prob. 44APCh. 38 - Prob. 45APCh. 38 - Prob. 46APCh. 38 - Prob. 47APCh. 38 - Prob. 48APCh. 38 - Prob. 49APCh. 38 - Prob. 50APCh. 38 - Prob. 51APCh. 38 - Prob. 52APCh. 38 - The creation and study of new and very massive...Ch. 38 - Prob. 54CPCh. 38 - Prob. 55CP
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