A particle moved from position r1 → = 3i^ +2j^-6k^ to position r2→ = 14i^+13j^ + 9 k^ under the action of a force (4i^+j^+3k^) newtons. Find the work done.

displacement : s→ = r2→ -r1→. Now find W = F→ .s→ s→= 14i^+13j^+9k^-3i^-2j^+6k^ =11i^+11j^+15k^W = 44+11+45 = 100 J

A particle moved from position r1 → = 3i^ +2j^-6k^ to position r2→ = 14i^+13j^ + 9 k^ under the action of a force (4i^+j^+3k^) newtons. Find the work done.

displacement : s→ = r2→ -r1→. Now find W = F→ .s→ s→= 14i^+13j^+9k^-3i^-2j^+6k^ =11i^+11j^+15k^W = 44+11+45 = 100 J

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A particle moved from position $\vec{r_{1}}$ = $3 \hat{i} + 2 \hat{j}$ $- 6 \hat{k}$ to position $\vec{r_{2}}$ = 14 $\hat{i}$ + $13 \hat{j} + 9 \hat{k}$ under the action of a force ( $4 \hat{i} + \hat{j} + 3 \hat{k}$ ) newtons. Find the work done.

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0.01 J

100 J

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answer is B.

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Detailed Solution

displacement : $\vec{s}$ = $\vec{r_{2}} - \vec{r_{1}}$ . Now find W = $\vec{F} . \vec{s}$

$\vec{s}$ = 14 $\hat{i}$ +13 $\hat{j}$ +9 $\hat{k}$ -3 $\hat{i}$ -2 $\hat{j}$ +6 $\hat{k}$ =11 $\hat{i}$ +11 $\hat{j}$ +15 $\hat{k}$

W = 44+11+45 = 100 J

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A particle moved from position r1 → = 3i^ +2j^-6k^ to position r2→ = 14i^+13j^ + 9 k^ under the action of a force (4i^+j^+3k^) newtons. Find the work done.

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A particle moved from position $\vec{r_{1}}$ = $3 \hat{i} + 2 \hat{j}$ $- 6 \hat{k}$ to position $\vec{r_{2}}$ = 14 $\hat{i}$ + $13 \hat{j} + 9 \hat{k}$ under the action of a force ( $4 \hat{i} + \hat{j} + 3 \hat{k}$ ) newtons. Find the work done.