After talking in an observation station, Henry and Lark decide to jump in their spaceships and race. Each takes off and maneuver their ships so that the run begins with the ships facing opposite directions, one light minute apart. The crafts are traveling with the respective speeds VH= 0.60c and VL = 0.55c. Sensors on the ships are deployed such that when the front of Henry's ship is directly next to the back of Lark's ship, a blue flare is fired. Additionally, when the front of Lark’s ship is directly next to the back of Henry's ship, a red flare is fired. a. While racing towards each other, according to Lark, how fast is Henry's ship approaching? b. When the two ships pass, Henry and Lark both transmit a laser beam back to the observation station off to the right (out in front of Lark and behind Henry) at a distance of one light minute. What is the time difference of arrival (At = tL – tH) of the signals according to an observer at the observation station? c. While they pass, Henry measures Lark’s ship and finds it to be 1/5th the length of his own ship. When they both get back to the observation station and both ships are parked, motionless, how long will Lark’s ship be compared to Henry's ship? d. What will Henry say was the correct sequence of events during the run (blue flare first, red flare first or simultaneous)? e. What will Lark say was the correct sequence of events during the run? f. Who is correct, explain?

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After talking in an observation station, Henry and Lark decide to jump in their spaceships and
race. Each takes off and maneuver their ships so that the run begins with the ships facing
opposite directions, one light minute apart. The crafts are traveling with the respective speeds
VH= 0.60c and VL = 0.55c. Sensors on the ships are deployed such that when the front of Henry's
ship is directly next to the back of Lark's ship, a blue flare is fired. Additionally, when the front
of Lark’s ship is directly next to the back of Henry's ship, a red flare is fired.
a. While racing towards each other, according to Lark, how fast is Henry's ship approaching?
b. When the two ships pass, Henry and Lark both transmit a laser beam back to the observation
station off to the right (out in front of Lark and behind Henry) at a distance of one light minute.
What is the time difference of arrival (At = tL – tH) of the signals according to an observer at the
observation station?
c. While they pass, Henry measures Lark’s ship and finds it to be 1/5th the length of his own
ship. When they both get back to the observation station and both ships are parked, motionless,
how long will Lark’s ship be compared to Henry's ship?
d. What will Henry say was the correct sequence of events during the run (blue flare first, red
flare first or simultaneous)?
e. What will Lark say was the correct sequence of events during the run?
f. Who is correct, explain?
Transcribed Image Text:After talking in an observation station, Henry and Lark decide to jump in their spaceships and race. Each takes off and maneuver their ships so that the run begins with the ships facing opposite directions, one light minute apart. The crafts are traveling with the respective speeds VH= 0.60c and VL = 0.55c. Sensors on the ships are deployed such that when the front of Henry's ship is directly next to the back of Lark's ship, a blue flare is fired. Additionally, when the front of Lark’s ship is directly next to the back of Henry's ship, a red flare is fired. a. While racing towards each other, according to Lark, how fast is Henry's ship approaching? b. When the two ships pass, Henry and Lark both transmit a laser beam back to the observation station off to the right (out in front of Lark and behind Henry) at a distance of one light minute. What is the time difference of arrival (At = tL – tH) of the signals according to an observer at the observation station? c. While they pass, Henry measures Lark’s ship and finds it to be 1/5th the length of his own ship. When they both get back to the observation station and both ships are parked, motionless, how long will Lark’s ship be compared to Henry's ship? d. What will Henry say was the correct sequence of events during the run (blue flare first, red flare first or simultaneous)? e. What will Lark say was the correct sequence of events during the run? f. Who is correct, explain?
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