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: Identify the given values. Mass of block A, m_A = 10 kg Mass of block B, m_B = 15 kg Applied horizontal force, F_applied = 200 N Coefficient of friction between the blocks and the surface, = 0.2 Acceleration due to gravity, g = 10 m/s^2 Step 2: Calculate the total mass of the system. Since the blocks are in contact and move together, we can treat them as a single system. Total mass, M = m_A + m_B M = 10 kg + 15 kg = 25 kg Step 3: Calculate the total normal force. The normal force (N) acting on the system is equal to its total weight. N = M × g N = 25 kg × 10 m/s^2 = 250 N Step 4: Calculate the total friction force. The friction force (f_friction) opposing the motion is given by N. f_friction = × N f_friction = 0.2 × 250 N = 50 N Step 5: Calculate the net force acting on the system. The net force (F_net) is the applied force minus the friction force. F_net = F_applied - f_friction F_net = 200 N - 50 N = 150 N Step 6: Calculate the acceleration of the system. Using Newton's second law, F_net = M × a, where a is the acceleration of the system. a = F_netM a = 150 N25 kg a = 6 m/s^2 The acceleration of the system is 6 m/s^2. This matches option (b). The final answer is (b).