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Electric Field Due to a Sphere and Thin Shell

A force F = (...

Question

A force F = (5i + 3j + 2k)N is applied over a particle which displaces it from in origin to the point r = (2i - j)m.Find the workdone on the particle in joule.

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Solution

Dear Student .
Here in this question the given data is ,
$\vec{F} = 5 \hat{i} + 3 \hat{j} + 2 \hat{k} a n d d i s p l a c e m e n t i s \vec{r} = (2 \hat{i} - \hat{j}) T h e r e f o r e t h e w o r k d o n e o n t h e p a r t i c l e i s, W = \vec{F} \cdot \vec{r} = (5 \hat{i} + 3 \hat{j} + 2 \hat{k}) \cdot (2 \hat{i} - \hat{j}) = 10 - 3 = 7 J$
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\to F = (5^i + 3^j 2^k) N

is applied over a partivle which displaces it from its origin to the point

\to r = (2^i -^j) m

. The work done on the particle in joules is then

\to F = (5^i + 3^j + 2^k) N

is applied over a particle which displaces it from origin to the point

\to r = (2^i -^j) m

. The work done on the particle is

\to F = (5^i + 3^j + 2^k) N

is applied over a particle which displaces it to a point having position vector

\to r = (2^i -^j) m

from origin. The work done on the particle (in

J

\to F = (5^i + 3^j + 2^k) N

is applied over a particle which displaces it to a point having position vector

\to r = (2^i -^j) m

from origin. The work done on the particle (in

J

F = 5 i - 3 j + 2^k

moves a particle from

r_{1} = 2 i + 7 j + 4^k

r_{2} = 5^i + 2^j + 8^k \cdot

Calculate the workdone:

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