In a shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg, in a circular orbit of radius r = 4.7 107 m. What are (a) the period of the orbit and (b) the speed of the shuttle craft? Janeway briefly fires a forward-pointing thruster, reducing her speed by 2.40%. Just then, what are (c) the speed, (d) the kinetic energy, (e) the gravitational potential energy, and (f) tH mechanical energy of the shuttle craft? (g) What is the semimajor axis of the elliptical orbit now taken by the craft? (h) What is the difference between the period of the original circular orbit and that of the new elliptical orbit? (i) Which orbit has the smaller period

In a shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg, in a circular orbit of radius r = 4.7 107 m. What are (a) the period of the orbit and (b) the speed of the shuttle craft? Janeway briefly fires a forward-pointing thruster, reducing her speed by 2.40%. Just then, what are (c) the speed, (d) the kinetic energy, (e) the gravitational potential energy, and (f) tH mechanical energy of the shuttle craft? (g) What is the semimajor axis of the elliptical orbit now taken by the craft? (h) What is the difference between the period of the original circular orbit and that of the new elliptical orbit? (i) Which orbit has the smaller period

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 38PQ

See similar textbooks

Similar questions

If a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.
Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2
The astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth’s surface, where the free-fall acceleration is 8.21 m/s2. Take the radius of the Earth as 6 400 km. Determine the speed of the satellite and the time interval required to complete one orbit around the Earth, which is the period of the satellite. Figure P3.27
What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?
Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)
You wish to put a 1000.0 kg satellite into a circular orbit above the earth's surface with a period of 300.0min. The mass and radius of the earth is 5.972x10²⁴ kg and 6371km, respectively. What speed, distance from the earth's surface, and radial acceleration will it have?
Suppose an artificial satellite has been put into circular orbit about the Earth, at a distance from the center of the Earth equal to 1/4 the distance from the Earth's center to the Moon's center. In terms of the Moon's period Tm, what will be the period of the satellite?
YOU WISH TO PUT A 1000-KG SATELLITE INTO A CIRCULAR ORBIT 300 KM ABOVE THE EARTH'S SURFACE. WHAT SPEED, PERIOD AND RADIAL ACCELERATION WILL IT HAVE?
A uniform, solid sphere, of radius R=0.84km, produces a gravitational acceleration of ag on its surface. At what distance from the sphere's center are there points (a) inside and (b) outside the sphere, where the gravitational acceleration is ag/3?
A 1024-kg blue ball is dropped from an initial z-position of 3 x 106 m through the center of a planet with radius 7.8 x 106 m. If the mass of the planet is 48.7 x 1015 kg, measure the displacement of the ball at time t = 6 s?
A satellite is in elliptical orbit with a period of 8.00 * 10^4 s about a planet of mass 7.00 * 1024 kg. At aphelion, at radius 4.5 * 10^7 m, the satellite’s angular speed is 7.158 * 10-5 rad/s.What is its angular speed at perihelion?
A 216.2 kg satellite is geosynchronous orbit around the Earth stays over the same spot and takes 24 hours to make one revolution. Given the following data, determine the satellite’s height above the surface of the Earth. G = 6.67 x 10-11 Nm2/kg2, mass of Earth = 5.98 x 1024 kg, radius of Earth = 6.38 x 106 m.