# A person pushes a box on a rough horizontal platform surface. He applies a force of $200 \mathrm{~N}$ over a distance of $15 \mathrm{~m}$. Thereafter, he gets progressively tired and his applied force reduces linearly with distance to $100 \mathrm{~N}$. The total distance through which the box has been moved is $30 \mathrm{~m}$. What is the work done by the person during the total movement of the box ?

Question:

A person pushes a box on a rough horizontal platform surface. He applies a force of $200 \mathrm{~N}$ over a distance of $15 \mathrm{~m}$. Thereafter, he gets progressively tired and his applied force reduces linearly with distance to $100 \mathrm{~N}$. The total distance through which the box has been moved is $30 \mathrm{~m}$. What is the work done by the person during the total movement of the box ?

1. $3280 \mathrm{~J}$

2. $2780 \mathrm{~J}$

3. $5690 \mathrm{~J}$

4. $5250 \mathrm{~J}$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Work, Energy and Power chapter.

JEE Main Previous Year 4 Sep. 2020

Correct Option: 4

Solution:

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