A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a direction 45 degrees east of south, and then 280 m at 30 degrees east of north. After a fourth unmeasured displacement, she finds herself back where she started.
a.) Use a scale drawing to determine the magnitude of the fourth displacement. Express your answer using two significant figures. Answer in meters. (I split them all into components and tried to find the fourth vector that way but it didn't work)
b.) Determine the direction of the fourth displacement. Express your answer using two significant figures. Answer in degrees south of west. (My vector seems to be going north of west rather than south of west...)
Please answer ASAP as this assignment is due by the end of tonight. Thank you.
a.) Use a scale drawing to determine the magnitude of the fourth displacement. Express your answer using two significant figures. Answer in meters. (I split them all into components and tried to find the fourth vector that way but it didn't work)
b.) Determine the direction of the fourth displacement. Express your answer using two significant figures. Answer in degrees south of west. (My vector seems to be going north of west rather than south of west...)
Please answer ASAP as this assignment is due by the end of tonight. Thank you.
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The problem instructs you to "use a scale drawing".
I am giving you detailed instructions on how to do that. It is not difficult.
.
First choose an appropriate scale. I chose 1 cm. = 20 m
Using that scale 160 m = 8 cm
230 m = 11.5 cm
280 m = 14 cm
Starting in the middle of the page draw an arrow directly to the left 8 cm long.
Using your protractor draw a second arrow from the head of the first arrow 11.5 cm long to the right 45 degrees below the horizontal.
Using your protractor draw a third arrow from the head of the second arrow 14 cm long upward inclined 30 degrees to the right.
That scale drawing represents the information given in the problem.
To solve it draw a fourth arrow from the head of the third one to the tail of the first one. Measure its length. You should get something in the vicinity of 8.2 cm
Multiply by your scale factor to get the magnitude of the fourth displacement. 8.2 cm x 20 m/cm = 160m
Use your protractor to measure the direction of the fourth vector. You should get about 30 degrees south of west. This is the direction of the fourth vector.
I am giving you detailed instructions on how to do that. It is not difficult.
.
First choose an appropriate scale. I chose 1 cm. = 20 m
Using that scale 160 m = 8 cm
230 m = 11.5 cm
280 m = 14 cm
Starting in the middle of the page draw an arrow directly to the left 8 cm long.
Using your protractor draw a second arrow from the head of the first arrow 11.5 cm long to the right 45 degrees below the horizontal.
Using your protractor draw a third arrow from the head of the second arrow 14 cm long upward inclined 30 degrees to the right.
That scale drawing represents the information given in the problem.
To solve it draw a fourth arrow from the head of the third one to the tail of the first one. Measure its length. You should get something in the vicinity of 8.2 cm
Multiply by your scale factor to get the magnitude of the fourth displacement. 8.2 cm x 20 m/cm = 160m
Use your protractor to measure the direction of the fourth vector. You should get about 30 degrees south of west. This is the direction of the fourth vector.