Question

Calcule o Modulo do vetor resultante (Soma) dos vetores:
A) V1= 6Cm e V2=$\sqrt{75}$cm e a 30 Graus
B) V1= 8cm e v2= $\sqrt{72}$cm e a 45 graus

Answer 1

Vr² = V1² + V² + 2V1V2cos(x)

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A)

Vr² = 6² + √75² + 2x6x√75xcos30°

Vr² = 36 + 75 + 12x√75x√3/2

Vr² = 111 + 12x5√3x√3/2

Vr² = 111 + 30x3

Vr = √201

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B)

Vr² = 8² + 72 + 2x8x√72xcos45°

Vr² = 136 + 16x6√2x√2/2

Vr² = 136 + 48x2

Vr = √232

Vr = 2√58