Vorbital = sqrt( G*M/R) = sqrt(6.67X10^-11 * (6X10^24)/(6400*1000+6.5*10^5)) = 7534 m/s
Radius of earth = 6400 km, Mass of earth = 6X10^24 kg
Drag = 0.5*density*V^2* A * CD = 0.5*(5*10^-14)*7534^2 * 10*1 = 1.42*10^-5 N
Fgravity = GMm/R^2 = 6.67X10^-11X 6X10^24 * 4 / 7050000^2 = 32.2 N
The region around the Earth is filling up with space junk such as old satellites. One...
4. A space boat is to be designed such that the solar radiation power on its sail counters the sun's gravitational force. Assume that total weight of the boat is 1000 kg Calculate the surface area of the sail Note: The mean distance between earth and sun is 1.5x1011m, the mass of the sun is 1.99x1030kg, the gravitational constant is 6.67x10-11m/s2, the total solar radiation power density on earth is 1.4 kW/m2
4. A space boat is to be designed...
Space debris left from old satellites and their launchers is becoming a hazard to other satellites. (a)Calculate the speed in m/s of a satellite in an orbit 860 km above the Earth's surface. (b) Suppose a loose rivet is in an orbit of the same radius that intersects the satellite's orbit at an angle of 90° relative to Earth. What is the velocity in m/s of the rivet relative to the satellite just before striking it? (Enter the magnitude.) (c)...
A possible means of space flight is to place a perfectly reflecting aluminized sheet into orbit around the Earth and then use the light from the Sun to push this "solar sail." Suppose a sail of area A 5.9010 m2 and mass m 4,800 kg is placed in orbit facing the Sun. Ignore all gravitational effects and assume a solar intensity of 1,370 W/m2 (a) What force (in N) is exerted on the sail? (Enter the magnitude.) 4.47 If you...
Space debris left from old satellites and their launchers is becoming a hazard to other satellites. a) Calculate the speed in m/s of a satellite in an orbit 870 km above the Earth's surface. b) Suppose a loose rivet is in an orbit of the same radius that intersects the satellite's orbit at an angle of 90° relative to Earth. What is the velocity in m/s of the rivet relative to the satellite just before striking it? (Enter the magnitude.)...
Problem Solving: LightSail 2 BOOM LENGTH TOTAL SAIL AREA SIZE REFERENCE 5.6 x 5.6 m (18.4x 18.4ft) 4 m (13ft) 32 m (344ft) Boxing Ring SAIL DEPLOYMENT PROPULSION LightSail 2 was a satellite that was designed to use solar radiation to change its altitude as it circled Earth. The spacecraft had a mass of 5.0kg. It was originally launched by a rocket with its sail closed, and established an orbit at an altitude of 720 km above Earth's surface. Then...
The moon does not fall to earth because: The moon is beyond the main pull of Earth's gravity. The moon is pulled by the sun and planets as well as by Earth. The gravitational force provides the required centripetal force for the moon to have its tangential speed around the Earth. The net force on the moon is zero. The moon is in earth's gravitational field. Question 3 (4 points) The tallest mountain in our solar system is Mt. Caloris...
A possible means of space flight is to place a perfectly reflecting aluminized sheet into orbit around the Earth and then use the light from the Sun to push this "solar sail." Suppose a sail of area A = 6.40 x 105 m2 and mass m = 7,100 kg is placed in orbit facing the Sun. Ignore all gravitational effects and assume a solar intensity of 1,370 W/m² (a) What force in N) is exerted on the sail? (Enter the...
two satellites, one lighter and the other twice as massive, describe different orbits around the earth, the lighter one going on an orbit of radius twice the radius of the heavier one, 2m, r, 2r. 1.) consider one single satellite, say the lighter one. write down the equation for the gravitational force exerted by the Earth on this satellite. 2.) write down Newton second law for this satellite to go in a circular orbit. 3.) determine the equation for the...
In Example 34.6, we imagined equipping 1950DA, an asteroid on a collision course with the Earth, with a solar sail in hopes of ejecting it from the solar system. We found that the enormous size required for the solar sail makes the plan impossible at this time. Of course, there is no need to eject such an object from the solar system; we only need to change the orbit. A much more pressing problem is Apophis, a 300-m asteroid that may be...
Problem Solving: LightSail 2 LightSail 2 was a satellite that was designed to use solar radiation to change its altitude as it circled Earth. The spacecraft had a mass of 5.0kg. It was originally launched by a rocket with its sail closed, and established an orbit at an altitude of 720 km above Earth’s surface. Then it deployed its sail, which had an area of 32m2. Assume the sail is completely reflective. 1) After a full month of “½...