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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

Question

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

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Solution

Bob would still measure his own spaceship as 26 meters long. The Lorentz factor and the effects of special relativity, such as length contraction, only apply to objects that are moving relative to the observer. Since Bob's spaceship is stationary relative to him, its length remains the same.

Similar Questions

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

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?

Justin is on a spaceship travelling at 0.998c. Onboard the ship is a table of length 2.5 m, with the length inline with the direction of travel of the ship. What is the length of the table as measured by Justin on the ship?

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.

You measure the length of a passing Clingon spacecraft to be 155 m. If the Clingon spacecraft is moving at 0.58 the speed of light, what would be its length in metres if it was at rest relative to you? Give your answer to the nearest whole number.

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