A particle has γ=15,687. Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation.

A particle has γ=15,687. Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter39: Relativity

Section: Chapter Questions

Problem 42PQ

See similar textbooks

Similar questions

Electrons are accelerated through a potential difference of 850 kVkV , so that their kinetic energy is 8.5×105 eVeV . A) What is the ratio of the speed vv of an electron having this energy to the speed of light, ccc? Express your answer as a multiple of speed of light cc. B) What would the speed be if it were computed from the principles of classical mechanics? Express your answer in meters per second.
I need help calculating the given prompt. KE = ½ mass times velocity squared KE = ½ mv2 Potential Energy (PE) = mass times the acceleration due to gravity times height PE = mgh
Suppose that a person has an average heart rate of 91.0 beats/min. (Express your answers to problems in this section to the correct number of significant figures and proper units.) How many beats does he or she have in 6.0 y? How many beats does he or she have in 6.00 y? How many beats does he or she have in 6.000 y?
How fast must a rocket travel relative to the earth so that time in the rocket "slows down" to quarter its rate as measured by earth-based observers? Express your answer in meters per second to three significant figures. Do present-day jet planes approach such speeds? Yes or No
Albert Einstein is pondering how to write his (soonto-be-famous) equation. He knows that energy E is a function of mass m and the speed of light c, but he doesn't know the functional relationship (E = m2c? E = mc4?). Pretend that Albert knows nothing about dimensional analysis, but since you are taking a fluid mechanics class, you help Albert come up with his equation. Use the step-by-step method of repeating variables to generate a dimensionless relationship between these parameters, showing all of your work. Compare this to Einstein's famous equation—does dimensional analysis give you the correct form of the equation?
Please help me with these questions And when using an equation like this mxv/qb is the q 1.602 x 10^19 or -1.602 x 10^19
According to the Theory of Relativity, the length of an object depends on its velocity v with respect to an observer. For an object whose length at rest is 10 m, its observed length L satisfies the equation c2L2 + 100v2 = 100c2 where c is 300,000 km/s, the speed of light. (Round your answers to four decimal places.) (a) Express L as a function of v and c.L = 10√(c+v)(c−v)c (b) What is the observed length L of a meteor that is 10 m long at rest and that is traveling past the earth at 20,000 km/s?(c) What is the observed length L of a satellite that is 10 m long at rest and that is traveling at 15,000 km/s?(d) What is the net change in the observed length L of an object whose velocity changes from 15,000 km/s to 20,000 km/s?
a Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of maximum brightness is 6.5 days. The average brightness of this star is 3.0 and its brightness changes by ±0.35. In view of these data, the brightness of the star at time t, where t is measured in days, has been modeled by the function B(t) = 3.0 + 0.35 sin (2?t)/(6.5) A) find the rate of change of the brightness after t days. dB/dt= B) find, correct to two decimal places, the rate of increase after one day. dB/dt
Muons at speed 0.9918 c are sent round and round a circular storage ring of radius 350 m. If a muon at rest decays into other particles after an average of 2.2 × 10 −6 s, how many trips around the storage ring do we expect the 0.9918 c muons to make before they decay? a. 1.9 b. 4.7 c. 2.3 d. 3.0 e. 530
Suppose a satellite has a mass of 1950 kg and is orbiting at 7.9 km/s. Use the approximation that y 1+(1/2)(c) at low velocities. Randomized Variables m = 1950 kg v = 7.9 km/s Part (a) What is the relativistic momentum of the satellite in kilogram meters per second? Part (b) Find the fractional difference between the relativistic and non-relativistic momenta, (p - Pnr)/Pnr (p-Par Por= Gra Dedi Pote
What is the total energy, in MeV, ofa. A proton traveling at 99.0% of the speed of light?b. An electron traveling at 99.0% of the speed of light?
A chain of nuclear reactions in the Sun's core converts four protons into a helium nucleus. (Use 1.67262 ✕ 10−27 kg for the mass of a proton and 6.64466 ✕ 10−27 kg for that of a helium nucleus.) (a) What is the mass difference (in kg) between four protons and a helium nucleus? kg (b) How much energy in MeV is released during the conversion of four protons into a helium nucleus? MeV