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Chapter 37: 44P (page 1148)
In the reaction , the masses are m(p) = 1.007825 u, m(a) = 4.002603 u, m(F) = 18.998405 u, m(O) = 15.994915 u. Calculate the Q of the reaction from these data.
The Q value of the reaction is 8.12 MeV.
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Continuation of Problem 65. Let reference frame C in Fig. 37-31 move past reference frame D (not shown). (a) Show that
(b) Now put this general result to work: Three particles move parallel to a single axis on which an observer is stationed. Let plus and minus signs indicate the directions of motion along that axis. Particle A moves past particle B at . Particle B moves past particle C at . Particle C moves past observer D at . What is the velocity of particle A relative to observer D? (The solution technique here is much faster than using Eq. 37-29.)
An unstable high-energy particle enters a detector and leaves a track of length 1.05 mm before it decays. Its speed relative to the detector was 0.992c. What is its proper lifetime? That is, how long would the particle have lasted before decay had it been at rest with respect to the detector?
Spatial separation between two events. For the passing reference frames of Fig. 37-25, events A and B occur with the following spacetime coordinates: according to the unprimed frame,and role="math" localid="1663045013644" according to the primed frame, androle="math" localid="1663045027721" . In the umprimed frameandrole="math" localid="1663045143133" .(a) Find an expression forin terms of the speed parameterand the given data. Graphversusfor two ranges of: (b) toand (c)to . (d) At what value ofis?
In Fig. 37-36, two cruisers fly toward a space station. Relative to the station, cruiser A has speed 0.800c. Relative to the station, what speed is required of cruiser B such that its pilot sees A and the station approach B at the same speed?
In Fig. 37-11, frame S' moves relative to frame S with velocity while a particle moves parallel to the common x and x' axes. An observer attached to frame S' measures the particle鈥檚 velocity to be . In terms of c, what is the particle鈥檚 velocity as measured by an observer attached to frame S according to the (a) relativistic and (b) classical velocity transformation? Suppose, instead, that the S' measure of the particle鈥檚 velocity is . What velocity does the observer in Snow measure according to the (c) relativistic and (d) classical velocity transformation?
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