Global positioning satellites(GPS) can be used to determine positions with great accuracy. Part A If one...

Global positioning satellites(GPS) can be used to determine positions with great accuracy.

Part A

If one of the satellites is at a distance of 20,000 km from you, what percent uncertainty in the distance does a 5m uncertainty represent?

Express your answer using one significant figure

Part B

How many significant figures are needed in the distance?

Express your answer using one significant figure.

If you could explain how you got the answer that would be great!

Solutions

Expert Solution

satellites distance from you r = 20,000 km

= 20000 x 10 ³ m

uncertainty dr = 5 m

Percent of uncertainty = ( dr / r ) x100

= 2.5 x 10 ^-5 %

(B). r = 20000 km

= 20000000 m

8 significant figures are needed in the distance

genius_generous answered 1 year ago

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