Exam

NEET

Subject

Physics

Chapter

Work, Power and Energy

NEET · Physics · Work, Power and Energy

The relationship between the force F and position x of a body is as...

The relationship between the force $F$ and position $x$ of a body is as shown in the figure. The work done in displacing the body from $x=1 \mathrm{~m}$ to $x=5 \mathrm{~m}$ will be

Step-by-step solution

The work done in a $F-x$ graph is calculated by the area under the graph. The given graph can be shown as

$\therefore$ Work done in displacing the object from $x=1 \mathrm{~m} to x=5 \mathrm{~m}$ will be $$\begin{aligned} W &=\text{ area under } F-x \text{ graph } \\ =& \text{ area } A B J K⁺\text{ areaCLDJ } \\ & \quad+\text{ area } D G F E+\text{ area } G H I \\ =&(10 \times 1)+(5 \times 1)+(-5 \times 1)+\left(\frac{1}{2} \times 1 \times 10\right) \\ =& 10+5-5+5=15 \mathrm{~J} \end{aligned}$$