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: Convert the mass to kilograms. Given mass m = 100 g. m = 100 g × 1 kg1000 g = 0.1 kg Step 2: Define the initial and final velocities, considering direction. Let the initial direction of motion be positive. Initial velocity v_i = 10 m/s. After collision, the body moves in the opposite direction, so the final velocity is negative. Final velocity v_f = -2 m/s. Step 3: Calculate the initial momentum (p_i). Momentum is given by p = mv. p_i = m v_i p_i = 0.1 kg × 10 m/s p_i = 1.0 kg m/s Step 4: Calculate the final momentum (p_f). p_f = m v_f p_f = 0.1 kg × (-2 m/s) p_f = -0.2 kg m/s Step 5: Calculate the change in momentum ( p). The change in momentum is the final momentum minus the initial momentum. p = p_f - p_i p = -0.2 kg m/s - 1.0 kg m/s p = -1.2 kg m/s The magnitude of the change in momentum is 1.2 kg m/s. The negative sign indicates the change is in the direction opposite to the initial motion. The change in momentum of the body is 1.2 kg m/s. That's 2 down. 3 left today — send the next one.