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What is the results t of two forces 7 Newton and 10 Newton inclined at an angle 30 degree to each other

Sagot :

asuwafohjames

Answer:

16.44 N

Explanation:

From the diagram attached,

we make use of cosine rule to calculate the resultant force

R² = P²+Q²-2PQcosα............................. Equation 1

Where R = resultant force

Given: P = 7 Newton, Q = 10 Newton, α = (180-30) = 150°

Substitute these values into equation 1

R² = 7²+10²-(2×7×10×cos150°)

R² = 49+100-140cos150°

R² = 149-140cos150°

R² = 149-140(-0.8660)

R² = 149+121.24

R² = 270.24

R = √(270.24)

R = 16.44 N

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