Question

answer fast plzz.........​

Answer 1

GIVEN :–

• Force = $\: \: { \bold{(2 \: \hat{i} \: + \: 3 \: \hat{j} )N}} \: \:$

• Displacement = $\: \: { \bold{(8 \: \hat{i} \: - \: 2 \: \hat{j} \: + \: 5 \: \hat{k} \: )m}} \: \:$

TO FIND :–

• Work done = ?

SOLUTION :–

DEFINATION :–

Vector product of Force and Displacement is called WORK.

$\\ \: \: \: \longrightarrow \: \: \: \large{ \boxed { \bold{Work = \overrightarrow{F} \: . \: \overrightarrow{S}}}}$

• Here –

$\\ \: \: \: \blacktriangleright \: \: \: { \bold{ \overrightarrow{F} = (2 \: \hat{i} \: + \: 3 \: \hat{j} )N}}$

$\\ \: \: \: \blacktriangleright \: \: \: { \bold{ \overrightarrow{S} = (8 \: \hat{i} \: - \: 2 \: \hat{j} \: + \: 5 \: \hat{k} \: )m}}$

• So that –

$\\ \implies { \bold{Work = (2 \: \hat{i} \: + \: 3 \: \hat{j} ) \: . \: (8 \: \hat{i} \: - \: 2 \: \hat{j} \: + \: 5 \: \hat{k} \: )}}$

$\\ \implies { \bold{Work = (2)(8) + (3)( - 2) + (0)(5)}}$

$\\ \implies { \bold{Work = 16 - 6+ 0}}$

$\\ \implies \large{ \boxed { \bold{Work = 10 \: N - m}}}$

Answer 2

${\huge{\bf{\red{\underline{Solution:}}}}}$

${\bf{\blue{\underline{Given:}}}}$

$\dagger{\sf{f = 2 \hat{i} + 3 \hat{i}}}$

$\dagger{\sf{d = 8 \hat{i} - 2 \hat{i} + 5 \hat{i}}}$

${\bf{\blue{\underline{To\:Find:}}}}$

• Work done

${\bf{\blue{\underline{Formula\:Used:}}}}$

$\boxed{\sf{ work = \vec{F}. \vec{S}}}$

${\bf{\blue{\underline{Now:}}}}$

$: \implies{\sf{ (2 \hat{i} + 3 \hat{j}).(8 \hat{i} - 2 \hat{j} + 5 \hat{k})}}$

$: \implies{\sf{ 16 - 6 }}$

$: \implies{\sf{ 10 }}$

$\boxed{\sf{ \purple{work =10n - m}}}$