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Bogdan [553]
3 years ago
13

g Vector has a magnitude of 10.9 units and points due west. Vector points due north. (a) What is the magnitude of if + has a mag

nitude of 15.7 units? (b) What is the direction of + relative to due west? (c) what is the magnitude of if - has a magnitude of 15.7 units? (d) What is the direction of - relative to due west?
Physics
1 answer:
NARA [144]3 years ago
3 0

Answer:

a. 11.3 units

b. 46.031°

c. 11.3 units

d. 46.03°

Explanation:

a. magnitude

B = \sqrt{R^{2}-A^{2}  }

= √15.7² - 10.9²

= √127.68

= 11.3 units

b. direction

θ = cos⁻¹(10.9units/15.7 units)

= 46.031⁰ north of west

c. thge magnitude at 15.7 units is the same as solution a above

15.7² = 10.9² + B²

B = 11.3 units.

d. the direction is same as  answer b.

θ = 46.031°

but the vector faces south of west

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