Calculate the force of gravity on a 60 kg satellite that flies at 260 miles altitude above the earth. Explain why astronauts aboard the International Space Station, which has an orbit at 254 miles above the earth, experience zero-gravity.
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A: ms=383kgMm=7.36×1022kghs=149km=149×103mR=1740km=1740×103mr=R+hs=(1740×103m)+(149×103m)=1889×103m
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- An earth-like planet with a mass of 6.00×1024 kg has a space station of mass 4.60×104 kg orbiting it at a distance of 5.00×105 km. What is the gravitational potential energy between the space station and the planet? (We can simplify the Gravitational Constant G to 6.7x10-11 Nm2/kg) (calculate in J)How much energy is required to lift a 10 kg rock from the surface of the Earth and place it in a circular orbit just 10 km above sea level? Assume Earth's radius is about 6371 km.A satellite in low-earth orbit experiences drag from the neutral atmosphere. Neglecting any space weather storms or events, provide two reasons why the drag force will naturally exhibit positive feedback (i.e. exponential growth over time).
- Let’s imagine that you have an idea for an experiment to fly on NASA’s “Vomit Comet.” (What’s special about this plane? It flies in parabolic paths (aka freefall) which result in near weightlessness. This means that you can ignore the effects of gravity when plan your experiment.) You want to mimic the orbital motion of the planets but by using electrostatic force rather than gravitational. And, instead of a planet, you will be orbiting a droplet of water that is 0.5mm in radius and has an deficit of 1.5 x 106 electrons. The droplet is to orbit around a small (1cm radius) sphere. If you want the droplet to move with an orbital radius of 14cm and period of one minute, what should the charge be on the central sphere? BTW The density of water is 997 kg/m3.Calculate the orbital inclination required to place an earth-orbiting satellite in a 1000.0 km x 1500.0 km altitude, sun-synchronous orbit.Assume you are the lead Physicist at SpaceX and you are asked to calculate the gravitational force that will be acting on a new satellite they plan to launch into space to orbit Mars. Calculate the force between Mars, which has a mass of 6.39*1023 kg, and the satellite, which has a mass of 425 kilograms. Assume that NASA wants the satellite to orbit Mars at a distance of 20,827 meters. G = 6.67 x 10-11 N\cdot⋅m2/kg2 Answer in scientific notation ( #*10^#) Answer with 3 significant figures Do NOT include units in your response
- A satellite of mass 2,134 kg orbits the Earth at an altitude of 3,434 km in a circular orbit. How many hours does it take for this satellite to complete one full revolution? Mass of the Earth: kg. Mean radius of the Earth: 6370 km.A satellite has an orbital speed of 4.28 x 10^3 m/s.What is its altitude above Earth’s surface?What is its gravitational energy?a) What is the total energy needed to place a 2.0 x 103 kg satellite into circular Earth orbit at an altitude of 5.0 x 102 km? b) How much additional energy would have to be supplied to the satellite once it was in orbit, to allow it to escape from Earth’s gravitational field?
- A satellite is orbiting the earth in low orbit (160 km above the surface of the earth). If the universal gravitational constant is 6.67 x 10^-11 m^3/kg x s^2 the mass of the earth is 5.972 x 10^24 kg and the radius of the earth is 6371 km, what speed must the satellite travel in order to maintain the low earth orbit?A 210 kg satellite is in a circular orbit of 22,236 miles (35,768 km) in radius. The force keeping the satellite in orbit is 45.3 N. What is the velocity (speed) of the satellite?What is the minimum speed (km/s), relative to the Sun, necessary for a spacecraft to escape the solar system if it starts at the Earth's orbit? Voyager 1 achieved a maximum speed of 125,000 km/h on its way to photograph Jupiter. Beyond what distance (m) from the Sun is this speed sufficient to escape the solar system?