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3 years ago

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The resultant of three vectors is 90.00 cm 34o N of W. If two of these three vectors are 17.89 cm 27o W of S, and 36.00 cm NW, w

hat is the magnitude and direction of the third vector? (Ans: 57.85 cm, 44.76o N of W)

1 answer:

Art [367]3 years ago

8 0

Answer:

Magnitude of the third vector: 57.85 cm

The direction of the third vector: 44.76 N of W

Explanation:

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b) its speed when it is 8.11 m below its highest point is 55.97 m/s

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height h = 24.7 m

acceleration due to gravity = 9.8 m/s²

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from the conservation of energy;

Kinetic energy at the highest point will be;

K.Ei + P.Ei = KEf + PEf

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so

1/2mv² + 0 J = KEf + mgh

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we substitute

K.Ef = [1/2 × 0.0468 × (58.8 )²] - [0.0468 × 9.8 × 24.7]

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so our velocity will be v₂

also using the principle of energy conservation;

K.Ei + P.Ei = KEh + PEh

1/2mv² + 0 J = 1/2mv₂² + mgh'

1/2mv₂² = 1/2mv² - mgh'

multiply through by 2/m

v₂² = v² - 2gh'

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v₂ = √( (58.8)² - 2×9.8×16.59 )

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