A particle moves from a point r-1-2 -3 - m to another point r 2-3 -2 - m during which a certain force F -5 -5 - acts on it- Find thework done by the force on the particle during the displacement-

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Byju's Answer

Standard XII

Physics

Work Done as Dot Product

A particle mo...

Question

A particle moves from a point ${\to r}_{1} = 2^i + 3^j (m)$ to another point ${\to r}_{2} = 3^i + 2^j (m)$ during which a certain force $\to F = 5^i + 5^j$ acts on it. Find the work done by the force on the particle during the displacement.

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Solution

$_{1}$ = $2^i + 3^j (m)$

$_{2}$ = $3^i + 2^j (m)$

Particle moves from position 1 to position 2 whose position vectors are given above we know displacement is change in position.

$\to s$ = $_{2} -_{1}$

= $(3^i + 2^j) - (2^i + 3^j)$

$\to s$ = $^i .^j$

Also $\to F$ = $5^i + 5^j (N)$

$\Rightarrow w = \to F . \to s$

= $(5^i + 5^j) . (^i -^j)$

W = 5 - 5 = 0 Joules

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