Two events in reference frame occur apart at the same point in space. The distance between the two events is in reference frame .
a. What is the time interval between the events in reference frame S′?
b. What is the velocity of relative to ?
a. The time interval between the events in the reference frame is .
b. The velocity of relative to is .
We need to find the time interval between the events in reference frame .
We finding time interval between the events in reference frame :
We need to find the velocity of relative to .
The velocity of relative to , as:
Your friend flies from Los Angeles to New York. She carries an accurate stopwatch with her to measure the flight time. You and your assistants on the ground also measure the flight time.
a. Identify the two events associated with this measurement.
b. Who, if anyone, measures the proper time?
c. Who, if anyone, measures the shorter flight time?
A ball of mass m traveling at a speed of has a perfectly inelastic collision with an identical ball at rest. If Newtonian physics were correct for these speeds, momentum conservation would tell us that a ball of mass departs the collision with a speed of . Let’s do a relativistic collision analysis to determine the mass and speed of the ball after the collision.
a. What is, written as a fraction like a/b?
b. What is the initial total momentum? Give your answer as a fraction times .
c. What is the initial total energy? Give your answer as a fraction times . Don’t forget that there are two balls.
d. Because energy can be transformed into mass, and vice versa, you cannot assume that the final mass is. Instead, let the final state of the system be an unknown mass traveling at an unknown speed . You have two conservation laws. Find and .
The nuclear reaction that powers the sun is the fusion of four protons into a helium nucleus. The process involves several steps, but the net reaction is simply . The mass of a proton, to four significant figures, is , and the mass of a helium nucleus is known to be .
a. How much energy is released in each fusion?
b. What fraction of the initial rest mass energy is this energy?
94% of StudySmarter users get better grades.Sign up for free