If a proton has a kinetic energy of 1.000 GeV, what is its momentum? (m, Mev) = 938.0 MeV/c2 1 Gev = 1000

measured by this observer to be 10 times longer than its lifetime when at rest relative to the observer? 3. The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.9 x 108m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be? 4. A computer in a laboratory requires 2.50 us to make a certain calcu- lation, as measured by a scientist in the lab. To someone moving past the lab at a relative speed of 0.995c, how long will the same cal- culation take? 5. The formula for length contraction gives the length of an interval on a ruler moving with velocity v relative to an observer as V1-v²/c² times the length of the same interval on a ruler at rest with respect to the observer. By what fraction is the length of a meter stick reduced if its velocity relative to you is measured to be 95 percent the speed of light? 6. If an electron is speeding down the two-mile-long Stanford Linear Accelerator at 99.98 percent the speed of light,…

12. (a) A particle is traveling through the Earth's atmosphere at a speed of 0.750c. To an earth bound observer, the distance it travels is 2.5km. How far does the particle travel in the particle's frame of reference? (b) Calculate the momentum of an electron traveling at a speed 0.985c? The rest mass of the electron is 9.11 X 10-31 kg.

Helpful information: (1) An alpha particle is a helium nucleus, (2) e = 1.6 × 10-¹⁹ C, (3) k₂ = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle? (a) 2.3 × 10-10 N (b) 4.6 × 10-10 N (c) 2.3 x 10-19 N (d) 4.6 x 10-19 N cing the voltage so following insta choices below at a time! 1.00 s?

An alpha particle has a mass of  6.4E-27kg is propagating at relativistic speeds and has an energy of 6.48GeV (so 6.48E9 eV) What is the speed of the particle, expressed in units of c, c being the speed of light. Keep three significant digits.

Question 25 MeV C2 MeV C A pion's rest mass is 139.6 Pions with a momentum 200.0 are produced at the TRIUMF cyclotron in Vancouver. What is their speed? (Hint: to solve this problem, let the speed of the pions be x-c where x <1, and solve for x) A. 0.421 c B 0.820 c C. 0291 c D.0.766 c E. 0.156 c

The "muon" is an unstable particle with rest mass m = 106 MeV/c^2. The mean lifetime of a muon at rest is 2.2 microseconds. (micro= 10^-6) Now consider a muon moving in a laboratory, with total relativistic energy E = 2.5 GeV. (G= giga = 10^9). What is the mean distance that the muon would travel relative to the lab, before decaying? (in m) OA: 5.098x103 OB: 7.392x103 OC: OD: OE: 1.072x104 1.554x104 2.254x104 OF: 3.268x104 OG: 4.738x104 OH: 6.870x104

The neutron has a mass of 1.67 ✕ 10−27 kg. Consider a neutron moving with a speed of 0.960c. (Enter your answer in GeV.) (a) What is its rest energy?  GeV (b) What is its total energy?  GeV (c) What is its kinetic energy?  GeV

A proton has an energy of 1 TeV. How fast is the proton moving? For simplicity, take mc² = 1 GeV.

Electrons are accelerated to an energy of 13.0 GeV in the 3.00 km long Stanford Linear Accelerator. (a) What is the γ factor for the electrons?(b) What is their speed? Answer to 10 decimal places. c(c) How long does the accelerator appear to them? cm