Determine the energy required to accelerate an electron from (a) 0.500c to 0.900c and (b) 0.900c to 0.990c.

What is the kinetic energy of an electron if its speed is 0.992c?

1. Consider inertial reference frame S to be the lab frame. A proton is moving in the positive x (+x) direction at a kinetic energy of 1250 MeV, as measured in frame S. Inertial reference frame S' moves at a speed of 0.55c in the positive-x (+x) direction relative to frame S. a) Find the speed of the proton in terms of the speed of light, c, as measured in frame S. b) Find the magnitude and direction of the speed of the proton as measured in frame S'.

How far from the earth would you be able to travel in a lifetime of 88 years if you were able to travel at a constant speed of 0.67c?

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)

A rocket launched outward from Earth has a speed of 0.38c relative to the Earth. The rocket is directed toward an incoming meteor that may hit the planet. If the meteor moves with a speed of 0.70c relative to the rocket and directly toward it, what is the speed of the meteor as observed from Earth?

An observer on Earth sees Planet X to be stationary and also sees a rocket travel from Earth toward Planet X at 0.5c. The rocket emits a pulse of light that travels outward in all directions. According to an observer on Planet X, how fast is the light pulse traveling toward them? Select one: a. 0.80c b. 0.50c c. 1.0c d. 1.5c e. 0.60c

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.

Determine the energy required to accelerate an electron between each of the following speeds. (a) 0.500c to 0.880c MeV(b) 0.880c to 0.950c MeV

d