This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Morning — let's get this done. To find the magnitude of the resultant force, we use the law of cosines for vector addition. Step 1: Identify the given values. The first force is F_1 = 10 N. The second force is F_2 = 6 N. The angle between the forces is = 60^. Step 2: Apply the formula for the magnitude of the resultant force (R). The formula is: R = sqrt(F_1^2 + F_2^2 + 2 F_1 F_2 ) Step 3: Substitute the values into the formula. R = sqrt((10 N))^2 + (6 N)^2 + 2 (10 N) (6 N) 60^ Step 4: Calculate the terms. We know that 60^ = 0.5. R = sqrt(100 N)^2 + 36 N^2 + 2 (60 N^2) (0.5) R = sqrt(100 N)^2 + 36 N^2 + 60 N^2 R = sqrt(196 N)^2 Step 5: Calculate the square root. R = 14 N The magnitude of the resultant force is 14 N. Comparing this with the given options: A. 14 N B. 16 N C. 8 N D. 12 N The correct option is A. The final answer is A. 14 N. Send me the next one 📸