A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 1.7 x 100 kilometers, then turn 70° and travel an additional 1.3 x 106 kilometers to reach the space station. If the captain had not ordered a course correction, what would have been the magnitude and direction of the path of the spaceship if it had traveled through the nebula? L magnitude direction spaceship km A nebula counterclockwise from the +x axis space station B 111

Physics for Scientists and Engineers
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Chapter3: Vectors
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Problem 34AP: You are spending the summer as an assistant learning how to navigate on a large ship carrying...
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A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 1.7 × 106 kilometers, then
turn 70° and travel an additional 1.3 x 106 kilometers to reach the space station. If the captain had not ordered a course correction, what would have been the magnitude and direction of the path
of the spaceship if it had traveled through the nebula?
magnitude
direction
y
L
A
nebula
spaceship
km
° counterclockwise from the +x axis
space station
B
Transcribed Image Text:A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 1.7 × 106 kilometers, then turn 70° and travel an additional 1.3 x 106 kilometers to reach the space station. If the captain had not ordered a course correction, what would have been the magnitude and direction of the path of the spaceship if it had traveled through the nebula? magnitude direction y L A nebula spaceship km ° counterclockwise from the +x axis space station B
Expert Solution
Step 1

first leg of motion (A) = 1.7×106 km , towards east second leg of motion (B) = 1.3×106 km , at an angle of 70o north of east 

 

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