13–123. The rocket is initially in free-flight circular orbit around the earth. Determine the speed of the rocket at A. What change in the speed at A is required so that it can move in an elliptical orbit to reach point A "? *13-124. The rocket is in free-flight circular orbit around the earth. Determine the time needed for the rocket to travel from the innner orbit at A to the outer orbit at A'. 8 Mm A' 19 Mm

13–123. The rocket is initially in free-flight circular orbit around the earth. Determine the speed of the rocket at A. What change in the speed at A is required so that it can move in an elliptical orbit to reach point A "? *13-124. The rocket is in free-flight circular orbit around the earth. Determine the time needed for the rocket to travel from the innner orbit at A to the outer orbit at A'. 8 Mm A' 19 Mm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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3. You are a person with incredible arm strength. You throw a ball of mass m = 2 kg horizontally with initialy velocity vo. (a) How quickly would you have to throw the ball so that the ball enters a perfectly circular orbit around Earth? (Assume your height is much less than Earth's radius). (b) How long would the ball take to complete one orbit? (c) Let's say you throw the ball with 1.2x the speed found in (a). What is the semi-major axis of the new elliptical orbit of the ball? (d) How long would it take for the ball to complete its new orbital jour- ney?
59. Gravitational Time Dilation on Earti. For a relatively weak gravitational field, such as that of a ptanet or an ordinary star, the following formula tells us the iractional amount of gravitational time dilation at a distanes r from the center of an object of mass Mobject- GMobject (G = 6.67 × 10-ll m³/(kg × s²); c = 3 × 10° m/s.] example, while 1 hour passes in deep space far from the object, the amount of time that passes at a distance r is 1 hour multiplied by the factor above. (This formula does not apply to strong gravitational fields, like those near black holes.) Calculate the amount of time that passes on Earth's surface while 1 hour passes in deep space. 60/Gravitational Time Dilation on the Sun. Use the formula given in Problem 59 to calculate the percentage by which time runs slower on the surface of the Sun than in deep space. Based on your answer, approximately how much of a gravitational redshift should you expect for a spectral line with a rest wavelength of 121.6 nm?…
Copied! Problems us rce *24 Compute the orbital radius of an earth satellite that has an equatorial orbit and always remains above a fixed point P on the earth's surface. Communication satel- lites have such "geosynchronous" orbits (Fig. 6-19). These satellites are used to relay radio and television signals around the world. s if un- hate Communication satellite wwwwwwww as a dius mmm Fig. 6-19 25 The earth orbits the sun in an approximately circular orbit of radius 1.496 X 10" m (about 93 million 15
1) How does the acceleration due to gravity at the surface of a planet change if the planet's radius is doubled ?
4. To calculate the energy necessary to move from one situation to another we compare the total energy in each. How much work must be done by a rocket engine to transfer a 1000 kg satellite from an orbit of radius 2R, to 3R,?
5
Determine the minimum ∆? required for a spacecraft to escape the solar system starting from a 200 km circular orbit about the Earth.
How would planets A and B’d gravitational Potential energy change if the star they were orbiting suddenly collapsed ti half its size without its mass changing?