Question

A force of 10 N is directed towards the east and another force of 5 N is directed towards
the north-east. Find the resultant of the two forces.​

Answer 1

$\sf\small\red{Given:-}$

• Force = 10 N towards east.

• Force = 5N towards north.

$\sf\small\red{Find:-}$

• . Find the resultant of the two forces.

$\sf\small\red{Solution:-}$

$\sf \overrightarrow{a + b} = \sqrt{ {a}^{2} + {b}^{2} + 2ab \: as \: ab}$

$\sf = \sqrt{ {10}^{2} + {5}^{2} + 2 \times 10 \times 5 \times \frac{1}{ \sqrt{2} } }$

$\sf \: = \sqrt{100 + 25 + 50 \sqrt{2} }$

$\sf = \sqrt{25(4 + 1 + 2 \sqrt{2} }$

$\sf = \sqrt{25(7.82)}$

$\sf = \sqrt{195.5}$

#Quality answer.