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
