Question

When two forces A and B act in same direction with magnitude of

100N and 150N respectively calculate the magnitude of resultant force​

Answer 1

magnitude of resultant force will be 100N +150N--- 250N

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Answer 2

Given:

Two forces A and B act in same direction with magnitude of 100N and 150N respectively.

To find:

Magnitude of resultant?

Calculation:

Since both the forces are acting in the same direction, the angle between them is 0°.

• Let resultant be R

$\rm \: R = \sqrt{ {A}^{2} + {B}^{2} + 2A.B. \cos( {0}^{ \circ} ) }$

$\rm \implies \: R = \sqrt{ {A}^{2} + {B}^{2} + 2A.B }$

$\rm \implies \: R = \sqrt{ {(A + B)}^{2} }$

$\rm \implies \: R = A + B$

$\rm \implies \: R = 100 + 150$

$\rm \implies \: R = 250 \: N$

So, resultant force is 250 N.