Ina 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 radiusr=D4.70 x 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) the 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? (a) Number 2.52e+4 Units (b) Number 117e+4 Units m/s (c) Number 11400 Units m/s (d) Number 3.10e+11 Units (e) Number -6.20e+11 Units 202 (f) Number -3.10e+11 Units Scr 2021-0 lelNumber Hoits etv ..

Ina 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 radiusr=D4.70 x 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) the 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? (a) Number 2.52e+4 Units (b) Number 117e+4 Units m/s (c) Number 11400 Units m/s (d) Number 3.10e+11 Units (e) Number -6.20e+11 Units 202 (f) Number -3.10e+11 Units Scr 2021-0 lelNumber Hoits etv ..

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 81PQ: Since March 2006, NASAs Mars Reconnaissance Orbiter (MRO) has been in a circular orbit at an...

See similar textbooks

Similar questions

What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?
For many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?
In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?
Since March 2006, NASAs Mars Reconnaissance Orbiter (MRO) has been in a circular orbit at an altitude of 316 km around Mars (Fig. P6.81). The acceleration due to gravity on the surface of the planet Mars is 0.376g, and its radius is 3.40 103 km. Assume the acceleration due to gravity at the satellite is the same as on the planets surface. a. What is MROs orbital speed? B. What is the period of the spacecrafts orbit? FIGURE P6.81
A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 4.1 × 107 m. The mass of the planet is M = 8.6 × 1024 kg. Express the magnitude of the centripal accelaration ac of the satellite in terms of the speed of the satellite v, and R. Express the speed of v in terms of G,M, and R.
A satellite m = 500 kg orbits the earth at a distance d = 190 km, above the surface of the planet. The radius of the earth is re = 6.38 × 106 m and the gravitational constant G = 6.67 × 10-11 N m2/kg2 and the Earth's mass is me = 5.98 × 1024 kg. What is the speed of the satellite in m/s?
(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.34 x 104 m/s relative to the Sun. What would its speed be when it is very far from the Earth (in m/s)? Ignore atmospheric friction, the effects of other planets, and the rotation of the Earth. (Consider the mass of the Sun in your calculations.) m/s (b) What If? The speed provided in part (a) is very difficult to achieve technologically. Often, Jupiter is used as a "gravitational slingshot" to increase the speed of a probe to the escape speed from the solar system, which is 1.85 x 104 m/s from a point on Jupiter's orbit around the Sun (if Jupiter is not nearby). If the probe is launched from the Earth's surface at a speed of 4.10 x 104 m/s relative to the Sun, what is the increase in speed needed from the gravitational slingshot at Jupiter for the space probe to escape the solar system (in m/s)? (Assume that the Earth and the point on Jupiter's orbit lie along the same…
You are on a space station, in a circular orbit h = 500 km above the surface of the Earth. You complete your tasks several days early and must wait for the next mission from the surface to bring you home. After days of boredom, you decide to play some golf. Walking on the space station surface with magnetic shoes, you tee up a golf ball. You hit it with all of your might, sending it off with speed υrel, relative to the space station, in a direction parallel to the velocity vector of the space station at the moment the ball is hit. You notice that you then orbit the Earth exactly n = 2.00 times and you reach up and catch the golf ball as it returns to the space station. With what speed υrel was the golf ball hit?
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 = 4.70 x 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) the 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? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units Units i (e) Number Units i (f) Number Units i (g) Number MacBook Pro
Problem 7: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.04 x 10“ m/s. The mass of the planet is M = 5.96 × 1024 kg. The mass of the satellite is m = 2.2 x 10° kg. V
The escape speed of a projectile on the earth’s surface is 11.2 km s-1. A body is projected out with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun and other planets.
A satellite m = 500 kg orbits the earth at a distance d = 213 km, above the surface of the planet. The radius of the earth is re = 6.38 × 106 m and the gravitational constant G = 6.67 × 10-11 N m2/kg2 and the Earth's mass is me = 5.98 × 1024 kg. What is the speed of the satellite in m/s? v =