Question

Two forces both pushing an object in the same direction. Identify the accurate statement about these two forces?

• A. Both forces can be added together resulting in movement of the object
• B. The forces are subtracted from each other resulting in movement of the object
• C. The larger force will result in the movement of the object while the smaller is cancelled out
• D. The forces can be added together only if they are of similar magnitude
• E. Both forces can be added together to stop the object

Answer 1

The correct option is A Both forces can be added together resulting in movement of the object

The forces would be added vectorically. The resultant force would be given by

$\overrightarrow{F_{resultant}}=\overrightarrow{F_1}+\overrightarrow{F_2}$

$⟹\left|\overrightarrow{F_{resultant}}\right|=\sqrt{F_1^2+F_2^2+2F_1{F}_{2}cos\theta }$

Here the forces are in same direction, Hence $\theta =0^{\circ }$

$⟹\left|\overrightarrow{F_{resultant}}\right|=F_1+F_2$