2.Question 2Consider a situation that is similar to that in one of the video lectures, i.e., Alice observing Bob traveling from Earth to a star at a certain distance from Earth. Assume that the Lorentz factor for the relative velocity between Alice’s frame of reference (the Earth-star frame of reference) and Bob’s frame of reference (the spaceship frame of reference) has a value of 3. Alice, in her frame of reference, measures the distance to the star as 18 light years. What is the distance from Earth to the star in Bob’s frame of reference?1 point54 light years18 light years0 light years6 light years

4.Question 4The spaceships of Bob and Alice sit side-by-side at a spaceport. They measure them and both agree that each spaceship is 26 meters long. Alice takes off and Bob observes Alice's spaceship go by at a constant velocity such that the Lorentz factor is 2. Bob measures the length of his ship as Alice flies by. What value does he get?1 point52 meters13 meters26 meters

4.Question 4If v = 0 in the Lorentz transformation equation (and Alice is in one frame of reference and Bob in the other frame of reference), and Bob observes an event that occurs at x = 36 in his frame of reference, which of the following statements is true?1 pointAlice will observe the event at x = 18 in her frame of reference.Alice will observe the event at x = 72 in her frame of reference.We need to know the value of the Lorentz factor before we can know where Alice observes the event to occur.Alice will observe the event at x = 36 in her frame of reference.

6.Question 6Consider a spacetime diagram for Alice’s frame of reference (so Alice is positioned at x = 0) where x is in units of light years and t is in units of years. At t = 0 Alice plans to have a party. Consider the spacetime points listed below. If Bob was located at the point, and he had a spaceship that could travel at any speed up to the speed of light, would he be able to get to the party in time? (Mark all that are possible for him to get to the party in time.)1 pointx = 23, t = -17x = 3, t = 9x = 0, t = -3x = 17, t = -23

10.Question 10Imagine that you are traveling in a spaceship that passes by Earth at a velocity of 0.87c (Lorentz factor = 2), and you fire an escape pod from your spaceship pointed straight up (in the y or z direction, perpendicular to the spaceship’s direction of travel). If the escape pod has a perpendicular speed of 0.6c with respect to your ship, what is the perpendicular speed of the escape pod from the perspective of a person on Earth?

9.Question 9Consider two identical light clocks, designed as explained in lecture. Bob has one, and Alice takes the other on her spaceship and flies by Bob at speed V. Bob observes Alice’s clock. What is the relationship between the duration of one tick on Bob’s clock and the duration of one tick on Alice’s clock, according to Bob (where γ represents the Lorentz factor)? (Tip: Think about the light clock diagram and the value of the Lorentz factor.)1 pointThe duration of one tick on Alice’s clock = (1/γ) times the duration of one tick on Bob’s clock.The duration of one tick on Alice’s clock = the duration of one tick on Bob’s clock.The duration of one tick on Alice’s clock = γ times the duration of one tick on Bob’s clock.