At what speed, as a fraction of c, is a particle’s total energy twice its rest energy?
The speed of particle is 0.866c.
We have given that, particle’s total energy twice its rest energy.
We know that the formula of total energy is :
Here, m = mass of particle
v = velocity of particle
= Lorentz factor
We have given that total energy is twice of rest mass energy.
Here = total energy
= rest mass energy
Substituting in the formula of total energy :
We know that , substituting this value of :
An astronaut travels to a star system away at a speed of Assume that the time needed to accelerate and decelerate is negligible.
a. How long does the journey take according to Mission Control on earth?
b. How long does the journey take according to the astronaut?
c. How much time elapses between the launch and the arrival of the first radio message from the astronaut saying that she has arrived?
In the earth’s reference frame, a tree is at the origin and a pole is at km. Lightning strikes both the tree and the pole at . The lightning strikes are observed by a rocket traveling in the -direction at .
a. What are the spacetime coordinates for these two events in the rocket’s reference frame?
b. Are the events simultaneous in the rocket’s frame? If not, which occurs first?
94% of StudySmarter users get better grades.Sign up for free