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
Hey Washaddy — ready when you are. Here's the solution for question 7. Step 1: Convert speeds to meters per second (m/s). Train A speed: 164 km/h Train B speed: 88 km/h 1 km/h = 1000 m3600 s = (5)/(18) m/s Speed of Train A (V_A): V_A = 164 × (5)/(18) = (820)/(18) = (410)/(9) m/s Speed of Train B (V_B): V_B = 88 × (5)/(18) = (440)/(18) = (220)/(9) m/s Step 2: Determine the total distance to be covered for the trains to completely pass each other. The trains are initially 240 m apart. Length of Train A (L_A): 150 m Length of Train B (L_B): 100 m The total distance the trains must cover relative to each other to completely pass is the initial distance between them plus their combined lengths. D_total = 240 m + 150 m + 100 m = 490 m Step 3: Calculate the relative speed of the trains. Since the trains are travelling towards each other, their relative speed is the sum of their individual speeds. V_relative = V_A + V_B = (410)/(9) + (220)/(9) = (630)/(9) = 70 m/s Step 4: Calculate the time taken for the trains to completely pass each other. Time (t) = Total distance / Relative speed t = D_totalV_relative = 490 m70 m/s = 7 s The time that elapses before the two trains completely pass each other is 7 seconds. Send me the next one 📸