a) How far does a beam of muons with kinetic energy of i) 1 MeV, ii) 100 GeV pass through in empty space until its intensity is reduced to one half of its initial value? b) When do you use relativistic kinematics and when do you use Newtonian kinematics?
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- Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 49.0%49.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 3.30 mm3.30 mm away from the Earth? The density of water is ?water=1.00kg/literρwater=1.00kg/liter, the Earth's mass is ?earth=5.97×1024 kgMearth=5.97×1024 kg, the Moon's mass is ?moon=7.36×1022 kgMmoon=7.36×1022 kg, and the separation of the Earth and Moon is ?E,M=3.84×108 mdE,M=3.84×108 m.Six 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?A drop of water has a mass of about 0.050 g.a) What is its equivalence in pure energy, at rest?b) What would be the mass of the drop of water if it had a speed of 0.90c?
- 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.What speed must a particle attain before its kinetic energy is double the value predicted by the nonrelativistic expression KE = ½mv2? ?c
- 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 cNeeds Complete typed solution with 100 % accuracy.Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.99c. The muon then travels at constant speed and lives 1.5 μs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.)Randomized Variablesv = 0.99 ct = 1.5 μs Part (a) How many kilometers does the muon travel according to an Earth-bound observer? Part (b) How many kilometers of the Earth pass by as viewed by an observer moving with the muon? Base your calculation on its speed relative to the Earth and its lifetime (proper time).