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
Step 1: Resolve the pulling force F into components. F_x = F = 20 30^ \, N 30^ = sqrt(3)2 F_x = 20 × sqrt(3)2 = 10sqrt(3) \, N F_y = F = 20 30^ \, N 30^ = (1)/(2) F_y = 20 × (1)/(2) = 10 \, N (upward) Step 2: Calculate the normal force N. Vertical equilibrium: N + F_y = mg N = mg - F_y mg = 4 × 10 = 40 \, N N = 40 - 10 = 30 \, N Step 3: Calculate the frictional force f_k. f_k = N = 0.2 × 30 = 6 \, N Step 4: Net horizontal force F_net. F_net = F_x - f_k = 10sqrt(3) - 6 \, N sqrt(3) ≈ 1.732 10sqrt(3) ≈ 17.32 \, N F_net ≈ 17.32 - 6 = 11.32 \, N Step 5: Acceleration a. a = F_netm = (11.32)/(4) = 2.83 \, m/s^2 Or exactly: a = 10sqrt(3) - 64 \, m/s^2 Final answer: a ≈ 2.83 \, m/s^2 2.83 m/s^2