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Chapter 2: Q.32P (page 45)
A particular AM radio station broadcasts at a frequency of 990kHz. (a) What is the wavelength of this electromagnetic radiation? (b) How much time is required for the radiation to propagate from the broadcasting antenna to a radio 3 km away?
The wavelength of the electromagnetic radiation is 303m.
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Apply the general results obtained in the full analysis of motion under the influence of a constant force in Section 2.5 to answer the following questions. You hold a small metal ball of mass m a height h above the floor. You let go, and the ball falls to the floor. Choose the origin of the coordinate system to be on the floor where the ball hits, with y up as usual. Just after release, what are yi and vyi? Just before hitting the floor, what is yf? How much time 鈭唗 does it take for the ball to fall? What is vfy just before hitting the floor? Express all results in terms of m, g, and h. How would your results change if the ball had twice the mass?
As shown in Figure 19.74, a spherical metal shell of radius has a charge (on its surface) and is surrounded by a concentric spherical metal shell of radius which has a charge (on its inner surface).
(a) Use the definition of capacitance: to find the capacitance of this spherical capacitor.
(b) If the radii of the spherical shells and are large and nearly equal to each other, show that can be written as (which is also the equation for the capacitance of a parallel-plate capacitor) where is the surface area of one of the spheres, and is the small gap distance between them .
You hang a 10 kg mass from a copper wire, and the wire stretches by .
(a)If you suspend the same mass from two copper wires, identical to the original wire, what happens?
(b)If you suspend the same mass from a copper wire with half the cross-sectional area but the same length as the original wire, what happens?
(c)If you suspend the same mass from a copper wire with the same cross-sectional area but twice the length of the original wire, what happens?
The driver of a car traveling at a speed of 18 m/s slams on the brakes and comes to a stop in 4s . If we assume that the car's speed changed at a constant rate (constant net force): (a) what was the car's average speed during this 4 s interval? (b) How far did the car go in this 4 s interval?
In gold at room temperature, the mobility of mobile electrons is about , and there are about mobile electrons per cubic meter. Calculate the conductivity of gold, including correct units.
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