College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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If the lifetime of a particle when it is at rest is 81% of the observed lifetime of the particle, how fast is the particle moving?
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- What speed must a particle attain before its kinetic energy is double the value predicted by the nonrelativistic expression KE = 1/ 2mv2?arrow_forwardA beam of radioactive particles travels at a speed of 2.5 x 10^8 m/s. The half-life of the particles in the beam is measured to be 1.4µs by an outside observer. Determine the half-life of those particles when they are at rest with respect to the observer.arrow_forwardA particle known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.986c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 2.8 × 10-8 s. (a) What is the lifetime according to a hypothetical person who is riding along with the pion? (b) According to this hypothetical person, how far does the laboratory move before the pion breaks apart? (a) Number (b) Number MO Units Unitsarrow_forward
- At what speed (in m/s) is the magnitude of a particle's relativistic momentum 20.8% larger than its classical value? HINT m/sarrow_forwardA particle is found to have a lifetime of 30 ms. It is found moving at a speed of 0.999c. How long can the particle be observed in a laboratory if it is moving at the given speed.arrow_forwardSix identical particles have a speed 2m/s except for the last ( which is the seventh) particle which has a speed of 4m/s. What is the vavg of these particles?arrow_forward
- A certain X-ray machine generates X-rays from a beam of electrons accelerated from zero to 99.9999999 per cent the speed of light in a long linear accelerator of length 3.2 km. The electrons are generated in pulses of duration ∆t = 100 fs. The generated x-rays from the target are also short pulses (λ = 0.15 nm). What is the average power of the x-ray beam if it pulses 120 times per second and one x-ray pulse contains about a trillion photons (n = 1012). a) 16.0 W b) 1.6 W c) 0.16 W d) none of these.arrow_forwardmeasured 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,…arrow_forwardHow fast would a proton have to be traveling in order to have the same momentum as a photon with a frequency of 8.18 x 10^18 Hz?arrow_forward
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