A locomotive of total mass increases its speed uniformly from to in

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

A locomotive of total mass 1.0×106 kg1.0\times10^{6}\,\text{kg} increases its speed uniformly from 15 m s−115\,\text{m\,s}^{-1} to 25 m s−125\,\text{m\,s}^{-1} in 40 s40\,\text{s}. The engine converts only 30%30\% of the chemical energy of the fuel into the mechanical energy that appears as the locomotive’s kinetic energy. Calculate the amount of chemical energy that must be supplied by the fuel during this 40 s40\,\text{s} interval. Express your answer in megajoules (MJ).

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