A muon is traveling at 0.996c. What is its momentum? (The mass of such a muon at rest in the laboratory is 207 times the electron mass.) Express your answer in kilogram-meters per second. ? p = kg m/s
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- A spaceship travels at a speed of 2.4 x 108 m/s. A clock in the spaceship passes 60 seconds. How much time (in second) passes on the clock at rest on the ground?Starting from rest, two skaters "push off" against each other on smooth level ice, where friction is negligible. One is a woman and one is a man. The woman moves away with a velocity of +2.2 m/s relative to the ice. The mass of the woman is 57 kg, and the mass of the man is 88 kg. Assuming that the speed of light is 2.8 m/s, so that the relativistic momentum must be used, find the recoil velocity of the man relative to the ice. (Hint: This problem is similar to Example 6 in Chapter 7.) Number i UnitsA particle has a rest mass of 7.15×10−27 kg and a momentum of 5.56×10−18 kg·m/s. Determine the total relativistic energy E of the particle. Find the ratio of the particle's relativistic kinetic energy K to its rest energy ?rest.
- A speeder tries to explain to the police that the yellow warning lights she was approaching on the side of the road looked green to her because of the Doppler shift. How fast would she have been traveling if yellow light of wavelength 580 nm had been shifted to green with a wavelength of 560 nm? Assume c=3x108 m/s and that light was moving not the car. Write your answer in percents of c rounded to a two decimals for example 1.25Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54 × 107 light-years from Earth. If the lifetime of a human is taken to be 85.0 years, a spaceship would need to achieve some minimum speed Umin to deliver a living human being to this galaxy. How close to the speed of light would this minimum speed be? Express your answer as the difference between Umin and the speed of light c. C- Umin = m/s15 mc 4 mc The static energy Eo of a particle of mass m is one fourth of its total energy E. What is the particle's momentum in mc units? √3 mc 715 mc 3 mc
- a. What is vav,x for the interval from t = 0 to t = 3.60 s? answer in m/s b. What is vav,x for the interval from t = 0 to t = 3.50 s? anser in m/sThe kinetic energy of a mass moving in the x-y plane is: T = mx² + my² Using the transformation = rcos (0) and y = rsin (0), derive a general expression for kinetic energy of the mass in the r, basis.You and your secret celebrity crush pass each other in rockets that are each traveling 0.56c relative to the other. Your secret celebrity crush takes a nap and you decide to time how long the nap takes. In your frame, the nap takes 1.7 h. How long was the nap in your secret celebrity crush's frame? Unbeknownst to you, your secret celebrity crush's agent is onboard the celebrity's rocket and saw you timing the nap. Concerned, the agent decides to time how long you were timing the nap. In the agent's frame, how long were you timing your secret celebrity crush's nap?
- A particle has γ=18,399. a)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. b) In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV.Uranium-238 decays via the alpha decay process. Part (a) Calculate the energy released in units of megaelectron volts when a uranium-238 nucleus undergoes alpha decay. Part (b) What fraction of the mass of a single uranium-238 nucleus is destroyed in the decay? Part (c) Why is difficult to observe the change in mass for a macroscopic sample of uranium-238?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?