Mapoob An interstellar race manager (M) is trying to compare the performance of
ID: 306841 • Letter: M
Question
Mapoob An interstellar race manager (M) is trying to compare the performance of two new spacecar models. Two flags are set up 87.5 m to the right and left of the manager. Spacecar A comes from the left, and spacecar B comes from the right. To the manager, the two spacecars appear to pass the flags at the same instant and then pass by her simultaneously a moment later. She then determines that the s did she measure for each car to travel from the flag to her position? d of both spacec ars is 0.490c. What time Number 595 ns K-87.5 m87.5 m According to the driver of spacecar A, which of the spacecars went from the flag to the manager in less time and how long did it take? Number O they tied 519 ns A rival team's spacecar observes all of this while speeding by from left to right at 0.951c with respect to the manager. According to this rival observer, which of the spacecars went from the flag to the manager in less time and how long did it take? Number Incorrect. 76 ns they tier PreviousGive Up & View Solution Try AgainNextExitExplanation / Answer
Answering the question that went wrong:
using w = (u+v)/(1+uv/c^2) the relativistic speed formula
w= (0.49 + 0.951)c/(1+0.49*0.951) = 0.983c
using t = x/w = 87.5/(0.983 x 3 x 10^8) = 296.7 ns