Question

Which of the following system of forces provides the block the highest net force? (Note: vectors not drawn to scale.) 1)2)3)4)

Answer 1

The net force acting on the body is given as,

`F_(net)=\lvert F_1+F_2\rvert`

For the first diagram:

The net force is given as,

`\begin{gathered} F_(net)=\lvert(11\text{ N})+(-71\text{ N})\rvert \\ =60\text{ N} \end{gathered}`

For the second diagram:

The net force is given as,

`\begin{gathered} F_(net)=\lvert(405\text{ N})-(403\text{ N})\rvert \\ =2\text{ N} \end{gathered}`

For the third diagram:

The net force is given as,

`\begin{gathered} F_(net)=\lvert(227\text{ N})-(190\text{ N})\rvert \\ =37\text{ N} \end{gathered}`

For the fourth diagram:

The net force is given as,

`\begin{gathered} F_(net)=\lvert(22.7\text{ N})-(15.3\text{ N})\rvert \\ =7.4\text{N} \end{gathered}`

On comparing different values of the net force on the different systems, it is found that the net force is maximum in the first diagram.