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For all questions, please show all of your work and reason. 3. An astronaut in an...

For all questions, please show all of your work and reason.

3. An astronaut in an inertial reference frame measures a time interval Δt between her heartbeats. What will observers in all other inertial reference frames measure for the time interval between her heartbeats? a. more than Δt b. Δt c. less than Δt d. The answer depends on whether they are moving toward her or away from her.

4. The special theory of relativity predicts that there is an upper limit to the speed of a particle. It therefore follows that there is also an upper limit on the following properties of a particle. 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 other from opposite directions before colliding. If, in the lab reference frame, an electron travels toward the collision point at 2/3 c and a positron travels at 3/4 c, at what speed does the electron travel toward the positron in the positron’s reference frame? (Be sure to show all of the steps of your calculation without using a calculator.)

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