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

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Standard XII

Physics

Vector Addition

A particle mo...

Question

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

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Solution

b'
$v e c R = (3 h a t i + 2 h a t j - 2 h a t i - 3 h a t j$ )= $(h a t i - h a t j)$

The work done by force is $o v e r r i g h t a r r o w F . o v e r r i g h t a r r o w R = (5 h a t i + 5 h a t j) . (h a t i - h a t j) = 0$
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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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A particle moves from a point →r1=(2^i+3^j) to another point →r2=(3^i+2^j) during which a certain force →F=(5^i+5^j) acts on it. Calculate work done by the force on the particle during this displacement.

b'vecR=(3hati+2hatj−2hati−3hatj)=(hati−hatj)The work done by force is overrightarrowF.overrightarrowR=(5hati+5hatj).(hati−hatj)=0'

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

b'
$v e c R = (3 h a t i + 2 h a t j - 2 h a t i - 3 h a t j$ )= $(h a t i - h a t j)$

The work done by force is $o v e r r i g h t a r r o w F . o v e r r i g h t a r r o w R = (5 h a t i + 5 h a t j) . (h a t i - h a t j) = 0$
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