This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
... time = (25 ms^-1 + 0 ms^-1)2 × 30 s = 12.5 ms^-1 × 30 s = 375 m Step 2: Calculate the total distance traveled. D_total = d_1 + d_2 + d_3 + d_4 = 900 m + 600 m + 4500 m + 375 m = 6375 m Step 3: Calculate the total time taken. T_total = 60 s + 30 s + 180 s + 30 s = 300 s Step 4: Calculate the average speed. Average speed = D_totalT_total = 6375 m300 s = 21.25 ms^-1 The average speed of the bus is 21.25 ms^-1. c) Estimate the heat gained by the brake pad. Step 1: Identify the given values. Mass of brake pad (m) = 200 g = 0.2 kg Initial temperature (T_1) = 40^ Final temperature (T_2) = 80^ Specific heat capacity (c) = 1000 Jkg^-1K^-1 Step 2: Calculate the change in temperature ( T). T = T_2 - T_1 = 80^ - 40^ = 40^ Since a change of 1^ is equal to a change of 1 K, T = 40 K. Step 3: Calculate the heat gained (Q) using the formula Q = mc T. Q = (0.2 kg) × (1000 Jkg^-1K^-1) × (40 K) Q = 8000 J The heat gained by the brake pad is 8000 J$. That's 2 down. 3 left today — send the next one.