Question

If two forces of 10 newton and 15 newton are applied in same direction, then the resultant force will have what value?​

Answer 1

Answer:

the resultant force will be of 25 N.

Explanation:

when two vectors are acting in the same direction then the resultant vector is the sum of two vectors bcoz the angle between the two vectors is 0°.

Answer 2

$</p><p></p><p>\sf \vec{F_{1}} = 10 \: N \\ </p><p>\sf \vec{F_{2}} = 15 \: N \\ </p><p></p><p>\sf angle \: b/w \: the \: two \: forces = 0^{\circ} </p><p>\\</p><p>\sf \because the \: two \: forces \: are \: acting \: in \: the \\ \sf \: same \: direction \\ \\</p><p></p><p>\sf \rightarrow \quad \vec{F_{1}} + \vec{F_{2}} = \sqrt{{ \mid \vec{F_{1} } \mid }^{2} + { \mid \vec{F_{2}} \mid }^{2} + 2 \cdot { \mid \vec{F_{1}} \mid } \cdot { \mid \vec{F_{2}} \mid } \cdot \cos \theta }</p><p></p><p>\\ \\</p><p></p><p> \sf \rightarrow \quad \sqrt{{ \mid 10 \mid }^{2} + { \mid 15 \mid }^{2} + 2 \cdot 10 \cdot 15 \cdot 1} \qquad ( \because \cos 0^{\circ} = 1 ) </p><p></p><p>\\ \\</p><p></p><p> \sf \rightarrow \quad \sqrt{100 + 225 + 300}</p><p></p><p>\\ \\</p><p></p><p>\sf \rightarrow \quad \sqrt{625} \\ \\</p><p></p><p>\sf \rightarrow \quad \vec{F_{1}} + \vec{F_{2}} = 25 \: N</p><p></p><p>$