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Two forces of 637 newtons and 238 newtons act a point.The resultant force is 714 newtons. find the angle between the forces

Two forces of 637 newtons and 238 newtons act a point.The resultant force is 714 newtons-example-1

1 Answer

4 votes
We can use the cosine law to find the angle between the two forces. Let's denote the angle between the 637 N force and the resultant force as θ. Then we have:

714^2 = 637^2 + 238^2 - 2 * 637 * 238 * cos(θ)

Rearranging and solving for cos(θ), we get:

cos(θ) = (637^2 + 238^2 - 714^2) / (2 * 637 * 238)

cos(θ) = -0.0130

Taking the inverse cosine, we get:

θ = 180° - acos(-0.0130)

θ = 175.8° (rounded to one decimal place)

Therefore, the angle between the two forces is approximately 175.8 degrees.
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User Limitcracker
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