Chapter 37: 35P (page 1147)
A spaceship, moving away from Earth at a speed of 0.900c, reports back by transmitting at a frequency (measured in the spaceship frame) of 100 MHz. To what frequency must Earth receivers be tuned to receive the report?
The tuning frequency to receive the report on Earth is 22.9 MHz.
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What is the minimum energy that is required to break a nucleus of 12C (of mass 11.996 71 u) into three nuclei of 4He (of mass 4.001 51 u each)?
Figure 37-16 shows a ship (attached to reference frame ) passing us (standing in reference frame). A proton is fired at nearly the speed of light along the length of the ship, from the front to the rear. (a) Is the spatial separation between the point at which the proton is fired and the point at which it hits the shipโs rear wall a positive or negative quantity? (b) Is the temporal separation between those events a positive or negative quantity?
An electron of moves along the axis of an evacuated tube that has a length of 3.00 m as measured by a laboratory observer S at rest relative to the tube. An observer Sโ who is at rest relative to the electron, however, would see this tube moving with speed v ( ).What length would observer Sโ measure for the tube?
Question: An alpha particle with kinetic energy7.70 MeV collides with an 14Nnucleus at rest, and the two transform into an 17Onucleus and a proton. The proton is emitted at 90ยฐ to the direction of the incident alpha particle and has a kinetic energy of 4.44. MeV The masses of the various particles are alpha particle; proton, ; andIn,MeV what are (a) the kinetic energy of the oxygen nucleus and (b) the of the reaction? (Hint:The speeds of the particles are much less than c.)
Superluminal jets. Figure 37-29a shows the path taken by a knot in a jet of ionized gas that has been expelled from a galaxy. The knot travels at constant velocity at angle from the direction of Earth. The knot occasionally emits a burst of light, which is eventually detected on Earth. Two bursts are indicated in Fig. 37-29a, separated by time as measured in a stationary frame near the bursts. The bursts are shown in Fig. 37-29b as if they were photographed on the same piece of film, first when light from burst 1 arrived on Earth and then later when light from burst 2 arrived. The apparent distance traveled by the knot between the two bursts is the distance across an Earth-observerโs view of the knotโs path. The apparent time between the bursts is the difference in the arrival times of the light from them. The apparent speed of the knot is then . In terms of , , and , what are (a) and (b) ? (c) Evaluate for and . When superluminal (faster than light) jets were first observed, they seemed to defy special relativityโat least until the correct geometry (Fig. 37-29a) was understood.
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