(a)
The intensity of light on the absorbing plate.
(a)
Answer to Problem 67AP
The intensity of light on the absorbing plate is
Explanation of Solution
Given info: The diameter of the circular mirror is
The formula to calculate the power is,
Here,
Substitute
The formula to calculate the intensity on plate is,
Here,
Substitute
Conclusion:
Therefore, the intensity of light on the absorbing plate is
(b)
The maximum magnitude of the electric field.
(b)
Answer to Problem 67AP
The maximum magnitude of the electric field is
Explanation of Solution
Given info: The diameter of the circular mirror is
The formula to calculate the intensity is,
Here,
Rewrite the equation (2) to find the value of
Substitute
Thus, the maximum magnitude of the electric field is
Conclusion:
Therefore, the maximum magnitude of the electric field is
(c)
The maximum magnitude of the magnetic field.
(c)
Answer to Problem 67AP
The maximum magnitude of the electric field is
Explanation of Solution
Given info: The diameter of the circular mirror is
The expression for the magnetic field is,
Here,
Substitute
Conclusion:
Therefore, the maximum magnitude of the electric field is
(d)
The time interval to bring the water to its boiling point.
(d)
Answer to Problem 67AP
The time interval to bring the water to its boiling point is
Explanation of Solution
Given info: The diameter of the circular mirror is
The formula to calculate the power consumed in phase change is,
Here,
The formula to calculate the mass is,
Here,
Substitute
The value of the power consumed in heating is,
Substitute
Substitute
Thus, the time interval to bring the water to its boiling point is
Conclusion:
Therefore, the time interval to bring the water to its boiling point is
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Chapter 34 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
- CASE STUDY In Example 34.6 (page 1111), 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 on a collision course with the Earth and is due to come by on April 13, 2029. It is unlikely to hit the Earth on that pass, but it will return again in 2036. If Apophis passes through a 600-m keyhole on its 2029 pass, it is expected to hit the Earth in 2036. causing great damage. There are plans to deflect Apophis when it comes by in 2029. For example, we could hit it with a 10- to 150-kg impactor accelerated by a solar sail. The impactor is launched from the Earth to start orbiting the Sun in the same direction as the Earth and Apophis. The idea is to use a solar sail to accelerate the impactor so that it reverses direction and collides head-on with Apophis at 8090 km/s and thereby keeps Apophis out of the keyhole. Consider the momentum in the impactors orbit (Fig. P34.75) when the solar sail makes an angle of = 60 with the tangent to its orbit. Current solar sails may be about 40 m on a side, but the hope is to construct some that are about 160 m on a side. Estimate the impactors tangential acceleration when it is about 1 AU from the Sun. Keep in mind that the sail is neither a perfect absorber nor a perfect reflector, and a heavier impactor would presumably be equipped with a larger sail. Dont be surprised by what may seem like a very small acceleration. FIGURE P34.75arrow_forwardAn incandescent light bulb emits only 2.6 W of its power as visible light. What is the rms electric field of the emitted light at a distance of 3.0 m from the bulb?arrow_forwardAn electron in a TV CRT moves with a speed of 6.0107 m/s, in a direction perpendicular to Earth's field, which has a strength of 5.0105 T. (a) What strength electric field must be applied perpendicular to the Earth’s field to make the election moves in a straight line? (b) If this is done between plates separated by 1.00 cm, what is the voltage applied? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a collection,)arrow_forward
- You are working at NASA, in a division that is studying the possibility of rotating small spacecraft using radiation pressure from the Sun. You have built a scale model of a spacecraft as shown in Figure P33.47. The central body is a spherical shell with mass m = 0.500 kg and radius R = 15.0 cm. The thin rod extending from each side of the sphere is of mass mr = 50.0 g and of total length = 1.00 m. At each end of the rod arc circular plates of mass mp = 10.0 g and radius rp = 2.00 cm, with the center of each plate located at the end of the rod. One plate is perfectly reflecting and the other is perfectly absorbing. The initial configuration of this model is that it is at rest, mounted on a vertical axle with very low friction. To begin the simulation, you expose the model to sunlight of intensity Is = 1 000 W/m2, directed perpendicularly to the plates, for a time interval of t = 2.0 min. The sunlight is then removed from the model. Determine the angular velocity with which the model now rotates about the axle. Figure P33.47arrow_forwardA 2.50-m-diameter university communications satellite dish receives TV signals that have a maximum electric field strength (for one channel) of 7.50 (V/m. (See Figure 24.28.) (a) What is the intensity of this wave? (b) What is the power received by the antenna? (c) If the orbiting satellite broadcasts uniformly over an area of 1.501013m2 (a large fraction of North America), how much power does it radiate? Figure 24.28 Satellite dishes receive TV signals sent from orbit. Although the signals are quite weak, the receiver can detect them by being tuned to resonate at their frequency.arrow_forwardThe intensity of the radiation that you receive in your tanning bed is 9.87 W/m2. What is the maximum electric field? Please give your answer in Volts per meter.arrow_forward
- If a piece of copper is placed in an applied electric field of strength 150 N/C, roughly how long does it take for the metal to polarize in response?arrow_forwardA 14.0-mW helium-neon laser emits a beam of circular cross section with a diameter of 2.85 mm. (a) Find the maximum electric field in the beam. kN/C (b) What total energy is contained in a 1.00-m length of the beam? pJ (c) Find the momentum carried by a 1.00-m length of the beam. kg. m/sarrow_forwardA polarizer for microwaves can be made as a grid of parallel metal wires approximately 1 cm apart. Is the electric field vector for microwavestransmitted through this polarizer (a) parallel or (b) perpendicular to the metal wires?arrow_forward
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