How much work must be done to increase the speed of an electron from rest to (a) 0.500c, (b) 0.990c, and (c) 0.9990c?

The proper lifetime of a certain particle is 100.0 ns. How long does it live in the laboratory if it moves at v = 0.860c?

As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two cultures of these bacteria are prepared, each consisting initially of one bacterium. One culture is left on earth and the other placed on a rocket that travels at a speed of 0.996c relative to the earth. At a time when the earthbound culture has grown to 64 bacteria, how many bacteria are in the culture on the rocket, according to an earth-based observer? Number i Units

Determine the speed at which the kinetic energy of an electron is equal to twice its rest energy.   Question 28 options:   0.45c      0.87c   0.98c   0.63c    0.94c

22. Newly sprouted sunflowers can grow at a rate of 0.75 cm per day. One sunflower is left on Earth, and another one is placed on a spacecraft traveling away from Earth at a speed of 0.94c. How tall is the sunflower on the spacecraft (as measure by someone on the spacecraft) when a person on Earth says theirs is 4.5 cm tall? How tall is the sunflower on the spacecraft (as measured by the person on Earth)? (Note: The direction of sunflower growth is the same as the direction that the spaceship is moving)

Problem 17: An evacuated tube uses a potential difference of AV= 0.56 kV to accelerate electrons, which then hit a copper plate and produce X-rays. . Part (a) Write an expression for the non-relativistic speed of these electrons v in terms of e, AV, and m, assuming the electrons start from rest. v = AV 7 9 HOME a b d. 4 5 e h 1 j k P END m S V VO BACKSPACE CLEAR DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback. Part (b) Calculate the non-relativistic speed of these electrons v in m/s.

An extraterrestrial spaceship is moving away from the earth after an unpleasant encounter with its inhabitants. As it departs, the spaceship fires a missile toward the earth. An observer on earth measures that the spaceship is moving away with a speed of 0.585c. An observer in the spaceship measures that the missile is moving away from him at a speed of 0.800c. O 0.435 c 0.378 C O.0.215 c O0.404 c O 0.345 c

Antimatter: When a particle and its anti-particle collide, energy and momentum are conserved. However, the particles can annihilate each other and produce two gamma rays - high energy photons. An electron and an anti-electron each have a rest mass of 9.11 × 10-31 kg. Suppose the particles are each accelerated to a speed of 0.98c in a particle accelerator with a length of 1543 m for a head on collision. (Each particle is moving at this speed with respect to the lab, and the particles are moving in opposite directions.) They collide head on and annihilate. What is the wavelength of the gamma rays produced in this collision?

If someone travels at v = 0.99c, she can become younger than her children (assuming the kids stay home on Earth). In one or two sentences, explain how this is possible.

An elementary particle of a mass m, moving to the right with v=0.800 c after leaving an accelerator, collides with and sticks to an identical particle initially at rest. What is the speed of the combined particles?     CHOICES: a. 0.300 c b. 0.400 c c. 0.500 c d. 0.600 c