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

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,…

v can be determined from: morbol Combining like terms gives: e where AV- accelerating voltage. Rearranging gives: 2eAV m Substitution of (equation 2) into (equation 1) gives: Data N R V T 1 2 m I 22 v² = mv² = eAV, 150 2V nottom of B²r² e 1 2eV m Br mm, qque aswog ogslov rigid lino sifodinilladut m Procedure: C xt)s (equation 2) Sad m 99781 0.140[m] 150 V 2.15CM 10.0215 M 2.04 (equation 3) 1. Set the accelerating voltage and current as given by the instructor.non W 2. Measure the diameter of the circle formed by the electron beam with the centimeter scale next to the vacuum tube. Record the radius of the beam in the data table (not the diameter). :noftaups 901 maoil bur N R V T 101 I Insanal del inobra woman de 190hef de (012) 150 turns 0.140[m] I, SA M 200 V 123.3 cm 0.033m

When pions are brought to rest their lifetime is 1.77´10-8 s. A beam of pions is produced in an accelerator and moves at a speed of 0.99c relative to the laboratory. After moving 39 m as measured in the la, half the pions have decayed. a) from the viewpoint of an observer in the lab frame and b) from an observer at rest in the frame of the moving pions that the two numerical results given in the problem for the half-life of the pions are consistent.

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In some experiment, we found the fast meson’s velocity is vf=0.9999c while the slow meson’s velocity is vs=0.9955c. Using unit of c in this problem. (leave two decimal places of your result, i.e. like 1.23) (a) Calculate the ratio of the fast meson's lifetime in the laboratory frame to the slow meson's lifetime in the laboratory frame.  (b) Calculate the ratio of the fast meson's decay length to the slow meson's decay length.

The mean lifetime of mesons (pions) is 26 ns. A beam of pions is travelling at 0.93c. As measured in the laboratory: a) What is their mean lifetime? b) How far would they travel before they decay?

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

The kinetic energy of a deuteron is twelve times greater than its rest energy. (The mass of a deuteron is 3.34 ✕ 10−27 kg) Determine its total energy in millions of electron volts, or MeV. Determine its speed, expressed as a multiple of the speed of light c, to the nearest 0.001c. (Round your answer to at least three decimal places.)