A 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 × 106 m. What is the angular momentum, in kg m2/s, of the satellite in its orbit around the planet if the satellite completes one orbit every 1.5 × 104 s?

You are to help design a space probe that will land on Titan, a moon of Saturn. The probe also has to launch itself from the surface of that moon as it will come back to Earth with a rock sample. Mass of Titan: 1.35 x 1023 kg, Radius of Titan: 2.574 x 106 m. The sample will have a mass of 0.1 kg, and the rocket that will return it will have a mass of 200 kg (without the fuel). Your engine can fire with 18,800 N. - What is the gravitational acceleration on Titan in m/s2? - What will be the weight of the rocket in Newtons on Titan?  - What velocity must the rocket reach in order to escape Titan? - How long would it take the engine to accelerate the rocket to escape velocity? (this assumes that the engine is accelerating the rocket only; we aren’t including the mass of the fuel) Using the information given (and what you figured out) use the following formula to find the total ∆v that your rocket can produce. - Is the ∆v enough to get from 0 m/s to escape velocity?  - If it isn’t, plug in…

It has been suggested to place rotating cylinders about 22 km long and 10 km in diameter in space as a colony is habitable. The purpose of the rotation, according to those who propose it, is to provide artificial gravity to its inhabitants, such as they would have if they were on the earth surface. if the mass of the cylinder and its contents were 3.25× 10¹2 kg and we tried to place a satellite of X in a circular orbit with a radius of 8 km How fast in m/s would it describe its orbit around the Earth? OOOO 5.205 x 10⁰ 1.646x10-1 4.184 x 10-5 4.656 x 10⁰

Problem 2. Satellite orbits. The geostationary orbit is a unique circular orbit above the equator of a planet, for which the orbital period is equal to the rotation period of the planet. For Earth, the geostationary orbit is 4.22 x 104 km from the centre of the Earth. The Earth rotates in 23 hours and 56 minutes. a) A failed satellite, whose apogee distance is at Earth's geostationary orbit, has only half the required orbital speed of a geostationary satellite at apogee. Calculate the perigee distance of the orbit of this failed satellite. b) If another planet has twice the size of Earth and the same average density as Earth, while rotating in the same amount of time, calculate the radius of the geostationary orbit for this planet.

Find the angular momentum (in kg · m2/s) of Saturn in its orbit around the Sun. - The mass of Saturn is 5.680 ✕ 1026 kg, the orbital radius is 1.427 ✕ 109 km and the orbital period is 29.5 y.   Compare this angular momentum with the angular momentum of Saturn on its axis. - The radius of Saturn is 6.027 ✕ 104 km and the rotation period is 10.66 h.

Scientists want to place a 2800 kg satellite in a circular orbit around Mars. They plarto have the satellite orbit at a speed of 2100 m/s. How far above the surface of Mars will the satellite orbit? Mmars = 6.5 x 10^23 kg mars = 3.40 x 10^6 m G= 6.67 x 10^-11 N-m2/kg?

The radius of a planet is “R” and mass is “M”. A satellite revolves around it in an orbital radius of “r” and an orbital velocity “v”. How would you express the acceleration due to gravity on the surface of the planet? a) (r3*v/R) b) (r2*v3/R) c) (r3*v2/R) d) (r*v2/R2)

A satellite of mass (m) revolves around the earth of radius (R) at a height (h) from its surface. If (g) is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is: (a) gh (c) gR² R+h (b) (d) gR R-h GR²1/₂2 R+h

Suppose that humans have created a colony outside of our solar system on a planet called Wfirst21. Wfirst21 has a mass of 2.65×1025 kg2.65×1025 kg and a day that lasts 23.7 h23.7 h (which defines the rotational period of the planet). The colony is located on the planet's equator. The colonists set up a communications satellite which orbits Wfirst21. The satellite has a circular orbit that keeps it positioned directly above the colony. Calculate the radius ?r of the satellite's orbit in kilometers.