If F1 = 390 N and F2 = 550 N, determine the angle θ (0∘≤θ≤180∘) between them, so that the resultant force has a magnitude of FR = 780 N. Express your answer to two significant figures and include the appropriate units.

Question

Physics

Myah Nash

11 July, 23:21

If F1 = 390 N and F2 = 550 N, determine the angle θ (0∘≤θ≤180∘) between them, so that the resultant force has a magnitude of FR = 780 N. Express your answer to two significant figures and include the appropriate units.

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Answers (1)

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Kareem Valdez · Answer 1

R² = F₁² + F₂² + 2F₁F₂ Cosθ, R is resultant force, θ is angle between them

780² = 390² + 550² + 2 x 390 x 550 Cosθ

608400 = 152100 + 302500 + 429000 Cosθ

Cosθ =.3585

θ = 69 degree.