**Solar Sail Problem Set**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 \( A = 6.90 \times 10^5 \, \text{m}^2 \) and mass \( m = 5,000 \, \text{kg} \) is placed in orbit facing the Sun. Ignore all gravitational effects and assume a solar intensity of \( 1,370 \, \text{W/m}^2 \).**(a)** What force (in N) is exerted on the sail? (Enter the magnitude.)[Text box for answer] N**(b)** What is the sail’s acceleration? (Enter the magnitude in \(\mu\text{m/s}^2\).)[Text box for answer] \(\mu\text{m/s}^2\)**(c)** Assuming the acceleration calculated in part (b) remains constant, find the time interval (in days) required for the sail to reach the Moon, \( 3.84 \times 10^8 \, \text{m} \) away, starting from rest at the Earth.[Text box for answer] days**(d) What If?** If the solar sail were initially in Earth orbit at an altitude of 400 km, show that a sail of this mass density could not escape Earth's gravitational pull regardless of size. (Calculate the magnitude of the gravitational field in \(\text{m/s}^2\).)[Text box for answer] \(\text{m/s}^2\)**(e)** What would the mass density (in \(\text{kg/m}^2\)) of the solar sail have to be for the solar sail to attain the same initial acceleration as that in part (b)?[Text box for answer] \(\text{kg/m}^2\)

(a) Using radiation pressure P=2ScFA=2ScF=2ASc=26.90×105 m21370 W/m23×108 m/s=6.30 N

Answered: A possible means of space flight is to…

Similar questions

A distant galaxy emits light that has a wavelength of 638.3 nm. On earth, the wavelength of this light is measured to be 639.7 nm. (a) Decide whether this galaxy is approaching or receding from the earth. (b) Find the speed of the galaxy relative to the earth. (Give your answer to 4 significant digits. Use 2.998 × 108 m/s as the speed of light.) (a) The galaxy is (b) Number i from the earth. Units SUPPORT
Please include solution. Thank you!
D and E
Calculate the speed (in m/s) of an electron and a proton with a kinetic energy of 1.15 electron volt (eV). (The electron and proton masses are me = 9.11 ✕ 10−31 kg and mp = 1.67 ✕ 10−27 kg. Boltzmann's constant is kB = 1.38 ✕ 10−23 J/K.) (a) an electron m/s (b) a proton m/s (c) Calculate the average translational kinetic energy in eV of a 3.09 ✕ 102 K ideal gas particle. (Recall from Topic 10 that 1 2 mv2 = 3 2 kBT.) eV
(b) The earth has a radius of R = 6.4 x 106 m. It orbits the sun in a nearly circular orbit at an average distance of r = 1.5x 10¹1 m. The solar intensity at the upper atmosphere is 1367 W/m². How much energy does the sun radiate per second?
hw 2 Laser beams are sometimes used to burn away cancerous tissue. What is the intensity, in watts per square meter, of a laser beam that is 90.0% absorbed by a 2.1-mm diameter spot of cancerous tissue and must deposit 515 J of energy to it in a time period of 4.05 s?
a solar panel is a square 0.5m on a side and absorbs all the light that hits it. It the panel has a mass of 3 kg. what intensity of light would be necessary to hold it up against the force of gravity (its own weight)? how much bigger is this than the solar constant (1400 W/m^2)?
need help
The IKAROS spacecraft, launched in 2010, was designed to test the feasibility of solar sails for spacecraft propulsion. These large, ultralight sails are pushed on by the force of light from the sun, so the spacecraft doesn't need to carry any fuel. The force on IKAROS's sails was measured to be 1.12 mNmN. If this were the only force acting on the 290 kg spacecraft, by how much would its speed increase after 7.0 months of flight? Assume there are 30 days in each month.
Problem: Radiation Related The energy flux associated with solar radiation incident on the outer surface of the earth's atmosphere has been accurately measured and is known to be 1,368 W/m^2. The diameters of the sun and earth are 1.39 X 10^9 and 1.27 x 10^7 m, respectively, and the distance between the sun and the earth is 1.5 × 10^11 m. (a) What is the emissive power of the sun? (b) Approximating the sun's surface as black, what is its temperature? (c) At what wavelength is the spectral emissive power of the sun a maximum? (d) Assuming the earth's surface to be black and the sun to be the only source of energy for the earth, estimate the earth's surface temperature.
A special black material absorbs all light incident upon it. An intense laser beam shines straight up onto a horizontally flat object made out of this material. If the object has an area of 1.0 m² and a mass of 1.0 kg, how much power does the laser need to generate in order to accelerate it upward at a rate that is two times the freefall acceleration of gravity, 2g?
The sun generates energy through nuclear fusion, which converts mass intoenergy. If the sun radiates 3.8 × 1026 W of power, calculate the rate at which the sun losesmass (i.e., kg/s).

SEE MORE QUESTIONS