Many spacecraft have visited Mars over the years. Mars is smaller than the earth and has correspondingly weaker surface gravity. On Mars, the free-fall acceleration is only 3.8 m/s^2. What is the orbital period of a spacecraft in a low orbit near the surface of Mars? The radius of Mars is 3.4×10^6 m

Q: An object is released from rest when it is a height h above the surface of a planet of mass M and…

A:

Q: Miranda, a satellite of Uranus, is as shown. It can be modeled as a sphere of radius 242 km and mass…

A: The expression for the surface gravity of the Miranda,   Substitute,   Therefore, the free fall…

Q: Two planets in circular orbits around a star have speeds of v and 7v. (a) What is the ratio of the…

A:

Q: 1. A planet with a mass of 7.5 x 1025 kg moves around a 9.5 x 1031 kg star in a perfectly circular…

A: Given Data, Mass of the planet (m)=7.5×1025 kg Mass of the star (M)=9.5×1031 kg Radius of the…

Q: a ship is orbiting a planet (M = 3.0 x 10^24 kg with a radius R = 3,600 km) roughly 10,000 km from…

A:

Q: A newly discovered planet has twice the mass and three times the radius of the earth. What is the…

A:

Q: A newly discovered planet has a mass of 8.5 x 1023 kg and radius 1000 km.  What is the free fall…

A:

Q: What is the average speed of a 500 kg satellite located at 2000 m above the surface of the earth?…

A: The satellite revolves around the earth due to the centripetal force provided by the gravitation…

Q: The moon's period of revolution around the Earth is 27.3 d. How far away is the moon from the…

A:

Q: The star closest to the Sun is called Proxima Centauri. Proxima Centauri has a radius of 101,000 km…

A: Given data: The radius of the Proxima Centauri star is R=101000 km=101x106 m. The mass of the…

Q: Consider a hypothetical extrasolar world, planet X, that has 2 times the radius of the Earth and 1.6…

A:

Q: Consider a hypothetical extrasolar world, planet X, that has 2 times the radius of the Earth and 1.6…

A:

Q: (b) A 600 kg satellite is in a circular orbit about Earth at a height above Earth equal to Earth's…

A:

Q: In a shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg,…

A: Given: mass of shuttle craft m = 4500 kg Mass of planet M = 9.70*1025 kg radius of circular orbit r…

Q: A 200 kg satellite circles the earth in an orbit 7.0x10^6 m in radius. At this altitude g = 8.2…

A:

Q: A 2400 kg satellite is in a circular orbit around a planet. The satellite travels with a constant…

A:

Q: A satellite is in a circular orbit around the Earth at a distance where the gravitational field is g…

A:

Q: 12. Mars has a mass of 6.42 x 1023 kg and a radius of 3.4 x 106 m. What orbital speed must a…

A: Given, Mass, Mm=6.42×1023 kgradius, R= 3.4×106 maltitude, h=3.80 ×105 m

Q: Communications satellites are placed in a circular orbit where they stay directly over a fixed point…

A: A) We know that the period of a satellite in a geosynchronous orbit is equal to the period of earth,…

Q: A satellite m = 500 kg orbits the earth at a distance d = 213 km, above the surface of the planet.…

A:

Q: ASA is expected to send a 2600 kg satellite 450 km above the earth's surface. (Hint: Earth's mass is…

A: We are allowed to give the explanation of first three subparts of a question only which is given…

Q: The ratio of the radius of the Earth to that of the Moon is 10. The ratio of acceleration due to…

A:

Q: Planet Zero has a mass of 5.0 x 1023 kg and a radius of 2.0 x 10° m. A space probe is launched…

A: Calculate the acceleration due to gravity on this planet. a=GMR2=6.67×10-11 N.m2/kg25×1023 kg2×106…

Q: How long does a day last on a planet where the acceleration of free fall at the equator is for 1/10…

A: Mass of planet (m) = 5×1023 kg Radius of planet (R) = 3×106 m

Q: An artificial satellite is in a circular orbit d 600.0 km above the surface of a planct of radius r=…

A: Given data The orbit distance from the surface of earth is d = 600 km. The radius of the planet is…

Q: An astronaut drops a marble on the surface of the airless Planet Z-49 and observes that it takes…

A: Using kinematic equation, h = v0*t+1/2*g*t∧2 2 = 0*t+1/2*g*1.02∧2 g = 4/1.02∧2    = 3.845m/s∧2

Q: The free-fall acceleration on the surface of Neptune is about one and one-half times that on the…

A: It's a concept of Gravitational acceleration.

Q: An artificial satellite is in a circular orbit d = 520.0 km above the surface of a planet of radius…

A: The mass of the planet is,

Q: A satellite circles the earth in an orbit whose radius is 1.90 times the earth's radius. The earth's…

A: Given data:Let the radius of the satellite, R = 1.90 x (6.38 x 106 ) = 12.122 x 106 mMass of the…

Q: A satellite circles the earth in an orbit whose radius is 2.90 times the earth's radius. The earth's…

A: GIVEN   r sat =2.90 times m earth =5.98 x 10^24 r earth = 6.38 x 10^6 m.

Q: Assume you are agile enough to run across a horizontal surface at 8.50 m/s, independently of the…

A: It is given that,

Q: A planet has two small satellites in circular orbits around the planet. The first satellite has a…

A: Period of first satellite, T = 18 hours  radius of first satellite, r = 2 x 107 m radius of second…

Q: The mass of planet X is 6.4 x 1023 kg and the aceleration of gravity on its surface is 4.0 m/s2, if…

A:

Q: A spy satellite is in circular orbit around Earth. It makes one revolution in 8.90 h. Mass of Earth…

A:

Q: With what orbital speed will a satellite circle Jupiter if placed at a height of  6.50   10 6  m…

A: The orbital speed of a satellite moving about a planet of mass M in a circular orbit of radius r is…

Q: In 1993 the spacecraft Galileo sent home an image of asteroid 243 Ida and a tiny orbiting moon (now…

A:

Q: 10. What is the period (in hours) of a satellite circling Mars 100 km above the planet's surface?…

A: (given) Mass of mars = 6.42×1023 kg Radius = 3.40×106 m Gravitational constant (G) =6.673×10-11N…

Q: 5. Mars has a mass of 6.4 x 102 kg and a radius of 3.4 x 10° m. (a) What is the escape velocity of a…

A: Formula of escape velocity is as follows; ve=2GMR…

Q: A uniform, solid sphere, of radius R=0.84km, produces a gravitational acceleration of ag on its…

A: Given,

Q: In 1993 the spacecraft Galileo sent home an image (the figure) of asteroid 243 Ida and a tiny…

A:

Q: Suppose a spacecraft orbits the moon in a very low, circular orbit, just a few hundred meters above…

A: The time taken by the space craft is  T = 2πrg

Q: A satellite m = 500 kg orbits the earth at a distance d = 225km , above the surface of the planet.…

A:

Q: NASA is expected to send a 2600-kg satellite 450 km above the earth's surface. (a) What is its…

A: Given: The mass of the satellite is 2600 kg. The height of the satellite from the earth's surface is…