Saturday, November 19, 2011

What is the magnitude of the resulting vector and the angle?

Having trouble with this problem. Beginner physics but no example in textbook. Vertical component of force is 130 newtons, horizontal is 150 newtons. Do I use Pythagorean or cos to get the angle then sin to get the resulting vector newtons?|||yes, use the Pythagorean theorem to find the resultant





magnitude = sqrt[horizontal component^2+vertical component^2]


mag =sqrt[150^2+130^2]=198.5N





the angle the resultant makes with the positive x axis is given by





tan(theta)=vertical component/horizontal component = 130/150=0.87





tan(theta)=0.87 =%26gt; theta =arc tan 0.87 = 40.9deg

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