Online Course Support | Understanding Einstein: The Special Theory of Relativity

Alice creates a machine that can shoot basketballs in a horizontal direction. Using a radar gun, Bob measures the speed of the basketball coming from the machine when it is stationary and finds that it is 30 km/hour. If Alice then puts the machine on top of a car, which she is driving at 10 km/hour away from Bob, and shoots a basketball behind her and toward Bob, what would be the horizontal speed of the ball as Bob measures it, and which direction is it going? (Neglect any effects of air resistance or other sources of friction.)

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12. Question 12 Alice creates a machine that can shoot basketballs in a horizontal direction. Using a radar gun, Bob measures the speed of the basketball coming from the machine…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

Consider Bob on Space Station Omega. At time t = 0, Alice flies by in her spaceship at constant velocity, heading to the right. She then quickly reverses direction and heads back to the left, but stops and remains motionless (compared to Bob) before she reaches Bob’s position. Which diagram represents Alice’s world line in Bob’s frame of reference?

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8. Question 8 Consider Bob on Space Station Omega. At time t = 0, Alice flies by in her spaceship at constant velocity, heading to the right. She then quickly…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

Which world line represents an object that started at a nonzero location on the x axis and then moved to the right at constant velocity?

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4. Question 4 Which world line represents an object that started at a nonzero location on the x axis and then moved to the right at constant velocity? 1 point…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

Consider person #1 moving to the right (positive x direction) at a constant velocity v with respect to person #2. Assume that at time t = 0 the two were side by side. Each person measures distances using the same units (such as meters), and each person uses their own location as the origin for their measuring system. Let the measurements of person #1 be represented by x1 and the measurements of person #2 be represented by x2. Consider an event that happens at some position x1 and time t (after time t = 0), according to person #1. Person #2 measures the location of this event at position x2. Would the value of x2 be greater than or less than x1?

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3. Question 3 Consider person #1 moving to the right (positive x direction) at a constant velocity v with respect to person #2. Assume that at time t = 0…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

Consider Bob on Earth. At time t = 0, Alice flies by in her spaceship at constant velocity, heading to the left. Which diagram represents Alice’s world line in Bob’s frame of reference?

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2. Question 2 Consider Bob on Earth. At time t = 0, Alice flies by in her spaceship at constant velocity, heading to the left. Which diagram represents Alice’s world…