(a) A train of mass $250 \times 10^{3} \mathrm{~kg}$ starts from rest and accelerates uniformly to a speed of $81 \mathrm{~km} / \mathrm{hr}$ in 20 seconds. The total frictional resistance to motion is 20 kN . Determine (i) the maximum power required and (ii) the power required to maintain the speed of $81 \mathrm{~km} / \mathrm{hr}$.
Explanation
To find the maximum power required, we use the formula P_max = F * v. The power required to maintain the speed is also F * v, but with the frictional resistance only.
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