You are working at NASA, in a division that is studying the possibility of rotating small spacecraft using
Figure P33.47
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Chapter 33 Solutions
Physics for Scientists and Engineers
- A uniform circular disk of mass m = 24.0 g and radius r = 40.0 cm hangs vertically from a fixed, frictionless, horizontal hinge at a point on its circumference as shown in Figure P34.39a. A beam of electromagnetic radiation with intensity 10.0 MW/m2 is incident on the disk, in a direction perpendicular to its surface. The disk is perfectly absorbing, and the resulting radiation pressure makes the disk rotate. Assuming the radiation is always perpendicular to the surface of the disk, find the angle through which the disk rotates from the vertical as it reaches its new equilibrium position shown in Figure 34.39b. Figure 34.39arrow_forwardAn electromagnetic plane wave, that is propagating in the x-direction at a speed of 3.00 x108 m/s, has a peak electric field strength of 4,200 N/C and a wavelength of 900 nm. Which of the following functions represents the correct behavior for the magnetic field? a. B(x, t) = (21 µT)sin[(9.00 x 10-7 m-1)x – (2.09 x 1015 rad/s)t] b. B(x, t) = (28 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t] c. B(x, t) = (14 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t] d. B(x, t) = (14 µT)sin[(6.98 x 106 m-1)x – (3.14 x 1015 rad/s)t] e. B(x, t) = (4,200 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t]arrow_forwardThe star Sirius is much hotter than the sun, with a peak wavelength of 290 nm compared to the sun’s 500 nm. It is also larger, with a diameter 1.7 times that of the sun. By what factor does the energy emitted by Sirius exceed that of the sun?arrow_forward
- The 2.0-cm-diameter solenoid shown passes through the center of a 6.0-cm-diameter loop. The magnetic field inside the solenoid is 0.20 T. What is the magnetic flux through the loop (a) when it is perpendicular to the solenoid and (b) when it is tilted at a 60° angle?arrow_forwardA laser can suspend a small glass sphere in Earth's gravitational field, g = 9.80 m/s2. Assume that the suspended sphere is made of perfectly absorbing black glass. The sphere has a radius of 0.560 mm and a density of 0.190 g/cm3. Determine the radiation intensity needed to keep the small glass sphere suspended. (answer in kW / cm^2)arrow_forwardA parabolic reflector focuses electromagnetic waves into a beam as shown in the figure. The electromagnetic radiation is pulsed, with a pulse frequency of 19.0 GHz, and the duration of each pulse is t = 1.00 ns. The face of the reflector has a radius of 3.00 cm, and the average power during each pulse is 29.0 kW. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) (a) What is the wavelength (in cm) of these electromagnetic waves? (b) What is the total energy (in µJ) contained in each pulse? (c)Compute the average energy density (in mJ/m3) inside each pulse. (d)Determine the amplitude of the electric field (in kV/m) and magnetic field (in µT) in these electromagnetic waves. (e) Assuming that this pulsed beam strikes an absorbing surface, compute the force (in µN) exerted on the surface during the 1.00 ns duration of each pulse.arrow_forward
- A parabolic reflector focuses electromagnetic waves into a beam as shown in the figure. The electromagnetic radiation is pulsed, with a pulse frequency of 19.0 GHz, and the duration of each pulse is t = 1.00 ns. The face of the reflector has a radius of 3.00 cm, and the average power during each pulse is 29.0 kW. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) (d) Determine the amplitude of the electric field (in kV/m) and magnetic field (in µT) in these electromagnetic waves. Emax= kV/m Bmax = µT (e) Assuming that this pulsed beam strikes an absorbing surface, compute the force (in µN) exerted on the surface during the 1.00 ns duration of each pulse. µNarrow_forwardInterplanetary space contains many small particles referred to as interplanetary dust. Radiation pressure from the sun sets a lower limit on the size of such dust particles. To see the origin of this limit, consider a spherical dust particle of radius R and mass density r. (a) Write an expression for the gravitational force exerted on this particle by the sun (mass M) when the particle is a distance r from the sun. (b) Let L represent the luminosity of the sun, equal to the rate at which it emits energy in electromagnetic radiation. Find the force exerted on the (totally absorbing) particle due to solar radiation pressure, remembering that the intensity of the sun’s radiation also depends on the distance r. The relevant area is the cross-sectional area of the particle, not the total surface area of the particle. As part of your answer, explain why this is so. (c) The mass density of a typical interplanetary dust particle is about 3000 kg/m3 . Find the particle radius R such that the…arrow_forwardYour friend bought a magnetic field sensor and convinced you to help him measure the magnetic field at a certain distance from your local radio station's antenna. The max magnetic field you measure is 2.1*10^-11 T and a quick Google search tells you that this particular station broadcasts at a frequency of 773 kHz. What is the max electric field in V/m of the emitted electromagnetic waves?arrow_forward
- Two z-oriented dipole antennas are located at x=-2 and x=2, respectively. We know that I₁l = 1₂l. In the xz plane, what is the smallest angle where the far field is null? I₁l -^ Z 0 s 1₂1 λ Fig. Q10 Xarrow_forwardSuppose you have an electric field as a result of superposition of two waves given by Ē(z, t) = Eo cos(kz - wt) + Eo cos(kz + wt)â. a. Simplify Ē(z, t) as one term and find its associated magnetic field b. Find the instantaneous and time-averaged energy density.arrow_forwardAn electromagnetic wave of wavelength 435nm is traveling in a vacuum in the -z-direction. The electric field has an amplitude 2.70×10^−3 V/m2.70×10−3V/m and is parallel to the x-axis. What is the frequency? Express your answer in hertz. What is the magnetic-field amplitude? Express your answer in teslas.arrow_forward
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