The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z) with position vector r = x, y, z is f(r) = kr/|r|3 where k is a constant. find the work done as the particle moves along a straight line from (2, 0, 0) to (2, 4, 5).

Explanation:

F(r) = Kr/|r|3

= k / r²

Work done

= ∫F(r) dr

= ∫ k / r²  dr

limit from

r₁ = 2 to r₂ = √ ( 2² + 4² + 5² ) = 6.7

Work done

∫ k / r² dr

[ - k / r ]

Taking limit from 2 to 6.7

Work done  = K ( - 1 / 6.7 + 1 / 2 )

= 0.35 K

explanation: magnetic pole, region at each end of a magnet where the external magnetic field is strongest. the south-seeking pole, or any pole similar to it, is called a south magnetic pole. unlike poles of different magnets attract each other; like poles repel each other.

grav forces affect all objects magnetic forces affect magnetic objects and electric currents