3. An observer detects two explosions that occur at the same time, one near her and the other 100 km away. Another observer finds that the two explosions occur 160 km apart. What time interval separates the explosions to the second observer?
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- A car roles off the assembly line with a mass of 2000kg. A very special rocket booster, with mass 500kg, is then attached to the vehicle. This allows the car to reach a speed of 0.6c. To an observer standing outside the auto plant as the car goes by at maximum speed, what mass will the vehicle appear to have?? a. 3953kg b. 900kg c. 3125kg d. 1601kg Which of the following is not proof of the theory of relativity? a. Gravitational lensing around stars. b. Muons reaching the earth’s surface c. Twin Paradox d. Flight tests around the world using atomic clocks1. Two cars are traveling at constant speed along a road in the same direction. Car A moves at 60 km/h and car B moves at 40 km/h, each measured relative to an observer on the ground. What is the speed of car A relative to car B? 2. A supersonic plane moves away from you, and in the +x direction, at a speed of 1000 m/s relative to you. A second plane, traveling in the same direction and ahead of the first plane, moves away from you, and away from the first plane, at a speed of 500 m/s relative to the first plane. How fast is the second plane moving relative to you? 3. Astronauts in a spaceship traveling at v = 0.6c relative to Earth sign off from space control, saying that they are going to nap for 1.00 h and then call back. How long does their nap last as measured on Earth? 4. A stick that has a proper length of 1 m moves in a direction parallel to its length with speed v relative to you. The length of the stick as measured by you is 0.914 m. What is the speed v? T 5. Muons are…Find the kinetic energy of the objects in the scenarios. A. A cosmic pion of mass 140 MeV/?2140 MeV/c2 flies through outer space at a speed of 9.61×103 km/s9.61×103 km/s. See the hint for help converting MeV/?2MeV/c2 to kg.
- 2. The work-energy theorem relates the change in kinetic energy of a particle to the work done on it by an external force: AK = W = J F dx. Writing Newton's second law as F = dp/dt, show that W = Jv dp and integrate by parts using the relativistic momentum to obtain mc2 mc K = VI - v/c² |What is the rest energy that corresponds to a small amount of table salt (mass = 0.54 grams)? Recall that 1 g = 10-3³ kg. E = J Note: you can enter your answer using exponential notation using "E": for example, 1.23 x 1012 i- expressed as 1.23E12.1. Show that in the CM frame of two particles, the angular momentum // of particle 1 is related to the total angular momentum L by 1 (m₂/M) L and likewise 12-(m₁/M) L.
- 4. A stick that has a proper length of 1 m moves in a direction along its length with speed V relative to you. The length of the stick as measured by you is 0.914 m. What is the speed V? c= speed of light in vacuum. 0.406c 0.821c C 2.426c9. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 5.50 relativistic momentum? t kg.m/s 60 ssf60 s ssf60 ssfot 09588 098 10-11 J. What is their ssf60 ssfo 0931 2. Preparations are under way for a spacecraft visit to the Alpha Centauri star system, 4.30- lightyears away Provisions are placed on board to allow for a trip of 8 years. a. What minimum speed must the spacecraft travel relative to Earth if the provisions are to last?
- 1. A supertrain of proper length 195 m travels at a speed of 0.92c as it passes through a tunnel having proper length 90.0 m. How much longer is the tunnel than the train or vice versa as seen by an observer at rest with respect to the tunnel? meterswhere did the 1.602 X10^-19 come from?1. An enemy spacecraft moves away from the Earth at a speed of v=0.800cv=0.800c. A galactic patrol spacecraft pursues at a speed of u=0.900cu=0.900c relative to Earth. Calculate the velocity of enemy spacecraft relative to galactic space patrol.