A particle is moving in a force field given by potential energy U = - λ x + y + z from point 1 , 1 , 1 to 2 , 3 , 4 . The work done in the process is

Question

A particle is moving in a force field given by potential energy U = - λ x + y + z from point 1 , 1 , 1 to 2 , 3 , 4 . The work done in the process is, 3 λ, 1.5 λ, 6 λ, 12 λ

MARKS App · Accepted Answer

As U = - λ x + y + z At point 1,1 , 1 potential energy is, U 1 = - λ 1 + 1 + 1 U 1 = - 3 λ At point 2,3 , 4 potential energy is, U 2 = - λ 2 + 3 + 4 U 2 = - 9 λ Charge in potential energy, Δ U = U 2 - U 1 Δ U = - 9 λ - - 3 λ Δ U = - 6 λ ∴ Work done = - Δ U W = 6 λ

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