Radiation from the Sun reaching Earth (just outside the atmosphere) has an intensity of 1.41 kW/m². (a) Assuming that Earth (and its atmosphere) behaves like a flat disk perpendicular to the Sun's rays and that all the incident energy is absorbed, calculate the force on Earth due to radiation pressure. (b) For comparison, calculate the force due to the Sun's gravitational attraction. Assume that the speed of light and Earth radius are 2.998 × 108 m/s and 6.37 thousand km respectively. (a) Number i Units (b) Number i Units
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- Item 14 The radiation pressure exerted by the Sun on the Earth counteracts the gravitational attraction and puts the Earth into an orbit that is farther from the Sun than if there were no radiation pressure. It can be shown that the distance added to Earth's orbital radius is given by (Frad/Fg)r, where Frad is the radiation force exerted on Earth by the Sun, F, is the gravitational force between the Earth and Sun, and r is the average orbital radius. Part A If the intensity of sunlight that strikes Earth is 1240 W/m², what is Frad, assuming the Earth is a perfect absorber? Express your answer to three significant figures and include appropriate units. Value Submit Part B O Value Assuming r = 1.50 × 10¹¹ m, what is F? Express your answer to three significant figures and include appropriate units. Submit Part C O Units Request Answer Value Submit μA Units Request Answer What is the additional distance added to Earth's orbital radius by the radiation pressure? Express your answer to three…At some instant and location, the electric field associated with an electromagnetic wave in vacuum has the strength 84.1 V/m. Find the magnetic field strength B, the total energy density u, and the power flow per unit area, all at the same instant and location. B = T u = J/m3 power flow per unit area: W/m?A 185-turn flat coil of wire, 31 cm in diameter, is acting as an antenna for FM radio at a frequency of 111 MHz. The propagation direction of the radio wave is parallel to the plane of the coil. The magnetic field oscillates perpendicularly to that plane and has a maximum strength of 0.95 × 10-12 T. (a) What is the intensity of the radio wave, in watts per square meter? (b) Find the average emf, in volts, that is induced in the coil during the quarter cycle as the magnetic varies in strength from zero to maximum. (c) If the radio receiver circuit contains an inductance of 2.9 μH, what capacitance, in farads, must it also contain for it to resonate at 111 MHz? Ignore damping.
- A dish antenna having a diameter of 14.0 m receives (at normal incidence) a radio signal from a distant source as shown in the figure below. The radio signal is a continuous sinusoidal wave with amplitude Emax = 0.400 µV/m. Assume the antenna absorbs all the radiation that falls on the dish. (a) What is the amplitude of the magnetic field in this wave? T (b) What is the intensity of the radiation received by this antenna? W/m² (c) What is the power received by the antenna? W (d) What force is exerted by the radio waves on the antenna? NA future space station in orbit about the earth is being powered by an electromagnetic beam from the earth. The beam has a cross-sectional area of 166 m2 and transmits an average power of 2.35 × 104 W. What are the rms values of the (a) electric and (b) magnetic fields?A dish antenna with a diameter of 21.0 m receives (at normal incidence) a radio signal from a distant source. The radio signal is a continuous sinusoidal wave with amplitude Emax = 3.50 μV/m. Assume the antenna absorbs all the radiation that falls on the dish. (a) What is the amplitude of the magnetic field in this wave? (b) What is the intensity of the radiation received by this antenna? (c) What is the power received by the antenna?
- Radiation from the sun reaching the earth has an intensity of 1.4 kW/m^2. a) What is the total power radiated by the sun? (The sun is 1.5 x 10^11 m from earth.) b) Assuming all the incident energy is absorbed, what is the force on the earth due to radiation pressure?A particle of mass m and charge q is moving along the x-axis under the influence of a constant electric field -EÂ, with the unit vector in the positive x-direction. At the initial point of motion the particle has a velocity vox, experiences a slowdown due to the electric field until it stops momentarily and then reverses direction. Determine a) the radiation power of the particle, b) the radiation energy from the beginning of the motion until the particle returns to the starting point of its motion. [State your answer in terms of the relevant constants and variables given in the problem.]Suppose a source of electromagnetic waves radiates uniformly in all directions in empty space where there are no absorption or interference effects. (a) Show that the intensity is inversely proportional to r2, the distance from the source squared. (b) Show that the magnitudes of the electric and magnetic fields are inversely proportional to r.
- It has been proposed that a spaceship might be propelled in the solar system by radiation pressure, using a large sail made of foil. How large must the surface area of the sail be if the radiation force is to be equal in magnitude to the Sun’s gravitational attraction? Assume that the mass of the ship + sail is 1500 kg, that the sail is perfectly reflecting, and that the sail is oriented perpendicular to the Sun’s rays. See Appendix C for needed data. (With a larger sail, the ship is continuously driven away from the Sun.)It has been proposed that a spaceship might be propelled in the solar system by radiation pressure, using a large sail made of foil. How large must the surface area (in m2) of the sail be if the radiation force is to be equal in magnitude to the Sun's gravitational attraction? Assume that the mass of the ship + sail is 1700 kg, that the sail is perfectly reflecting, and that the sail is oriented perpendicular to the Sun's rays. (With a larger sail, the ship is continuously driven away from the Sun.) The rate at which the Sun emits energy is 3.90To maximize the magnitude of the current induced in a receiving antenna, should the antenna be oriented parallel or perpendicular to the polarization of the electromagnetic wave? Explain your reasoning.