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 ~m to x=5 ~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 Work done in displacing the object from x=1 ~m to x=5 ~m will be aligned W &= area under F-x graph =& area A B J K+ areaCLDJ & + area D G F E+ area G H I =&(10 1)+(5 1)+(-5 1)+ ( 1 2 1 10 ) =& 10+5-5+5=15 ~J aligned