1.

Calculate the anglebetween a 2N force and a3N force if the resultant force is 5N.

Answer»

Let the two vectors be A and B, and their resultant be R.Let the angle between A and B be θA = 2 NB = 3 NR = 5 N

Now R² = A² + B² + 2AB cos θSo, 5² = 2² + 3² + 2×3×4 cos θSo, 25 = 4 + 9 + 24 cos θSo, 25 = 13 + 24 cos θSo, 12 = 24 cos θSo, 12/24 = cos θ

So, cos θ = 1/2So, θ = cos^-1 (1/2)

Inverse cosine is also called arc cosine , or simply acos

So, θ = acos (1/2)

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