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Question: Three forces start acting simultaneously on a particle moving with velocity\(\overrightarrow{v}\). T...

Three forces start acting simultaneously on a particle moving with velocityv\overrightarrow{v}. These forces are represented in magnitude and direction by the three sides of a triangle ABC (as shown). The particle will now move with velocity–

A

v\overrightarrow{v}, remaining unchanged

B

Less than v\overrightarrow{v}

C

Greater than v\overrightarrow{v}

D

|v| in the direction of the largest force BC.

Answer

v\overrightarrow{v}, remaining unchanged

Explanation

Solution

F1+F2+F3=0\begin{matrix} \overset{\rightarrow}{F_{1}} + \overset{\rightarrow}{F_{2}} + \overset{\rightarrow}{F_{3}} = 0 \end{matrix} so

velocity v = constant