What is the speed of a proton when its kinetic energy is equal to twice its rest energy?
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What is the speed of a proton when its kinetic energy is equal to twice its rest energy?
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- At what speed is an electron’s total energy 50% more than its rest energy?Suppose a spacecraft of mass 17,000 kg is accelerated to 0.18c. How much kinetic energy would it have?6. A particle has a speed of 96% of the speed of light and a mass of 1u. The particle is unstable and its lifetime is 150 ns. It passes through a room where we stand and observe. (a) How long do we think the lifetime of the particle is? (b) The room is 10 m long, but how far does the particle feel as it passes? (c) How much of the particle's total energy is rest mass?
- An observer measures a spacecraft’s length to be exactly half of its rest length. a) What is the speed of the ship relative to the observer’s frame of reference? b) By what factor do the spaceship’s clocks run slow relative to clocks in the observer’s frame?Two electrons, A and B are approaching each other along a common straight line. Each has a constant speed of 0.6c as measured in the laboratory. What is the total energy of electron B as measured in the rest frame of A? Electron rest mass = 0.51 MeV/c. a) 3.1 MeV b) 1.1 MeV c) 6.3 MeV d) 0.7 MeV e) 5.4 MeV f) 2.3 MeVHow much work must be done to increase the speed of an electron from rest to (a) 0.436c, (b) 0.967c, and (c) 0.9961c?
- An object with a rest mass of 1.5 kg is moving at a speed of 0.91c. (a) Determine the relativistic momentum of the object. (b) Determine the total relativistic energy, in joules, of the object according to a stationary observer.A spaceship that has a rest length of 200 m passes by earth at a speed in which only (1/4) x 10-6 s is required for it to pass by a given point as measured by clocks on earth. How fast is it moving and at what length (according to observers on earth)?In a collider two protons are accelerated until they have kinetic energies of 1000 MeV (as seen in the lab). The pair is then split and brought around circular paths so that they are directed at each other. What speed of approach would one proton see the other as having? The mass of a proton is 1.673x10-27 kg (or 1.007276 u), and the rest mass energy of a proton is 938.3 MeV. (Speed is a scalar, so your answer will not need a direction.) K= 1000 MeV K = 1000 MeV