For each questions, please show me all your work and explain theanswer.
1. A rocket is moving at 1/4 c relative to Earth. At the centerof this rocket, a light source suddenly flashes. To an observer atrest in the rocket
a. the light pulse will reach the front of the rocket at thesame instant that it reaches the back of the rocket.
b. the light pulse will reach the front of the rocket before itreaches the back of the rocket.
c. the light pulse will reach the front of the rocket after itreaches the back of the rocket.
2. A rocket is moving at 1/4 c relative to Earth. At the centerof this rocket, a light source suddenly flashes. To an observer atrest on Earth
a. the light pulse will reach the front of the rocket at thesame instant that it reaches the back of the rocket.
b. the light pulse will reach the front of the rocket before itreaches the back of the rocket.
c. the light pulse will reach the front of the rocket after itreaches the back of the rocket.
3. An astronaut in an inertial reference frame measures a timeinterval Δt between her heartbeats. What will observers in allother inertial reference frames measure for the time intervalbetween her heartbeats?
a. more than Δt
b. Δt
c. less than Δt
d. The answer depends on whether they are moving toward her oraway from her.
4. The special theory of relativity predicts that there is anupper limit to the speed of a particle. It therefore follows thatthere is also an upper limit on the following properties of aparticle.
a. the kinetic energy
b. the total energy
c. the linear momentum
d. more than one of these
e. none of these
5. In a linear collider, two particles travel toward each otherfrom opposite directions before colliding. If, in the lab referenceframe, an electron travels toward the collision point at 2/3 c anda positron travels at 3/4 c, at what speed does the electron traveltoward the positron in the positron’s reference frame? (Be sure toshow all of the steps of your calculation without using acalculator.)
