A city bus of mass undergoes the following motion on level ground: Stage 1: It…

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A city bus of mass 10 000 kg10\,000\,\text{kg} undergoes the following motion on level ground: Stage 1: It accelerates from rest to 8 m/s8\,\text{m/s}. Stage 2: It then accelerates further from 8 m/s8\,\text{m/s} to 12 m/s12\,\text{m/s}. Answer the questions below, taking the two stages to occur one immediately after the other. (i) Calculate the work done on the bus during Stage 1. (ii) Find the additional work done during Stage 2. (iii) Determine the ratio of the work done in Stage 2 to that in Stage 1 and explain the numerical value you obtain. (iv) If the bus had instead accelerated directly from rest to 12 m/s12\,\text{m/s} in a single stage, compute the total work required and compare it with the sum of the works found in parts (i) and (ii). State the reason for any equality you observe.

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