Question

The potential function for a conservative force is given by U=k( x + y). Find the work done by the
conservative force in moving a particle from the point A(1, 1) to point B (2,3).
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Answer 1

Answer:

-3k

Explanation:

1) We know ,

Work Done by the conservative force, is given by loss in Potential Energy.

That is,

$W_c=-\Delta U(x,y)$

2) Initial  Position , x=1 ,y=1

Final Position,x=2,y=3

Now,

$W=- \Delta U=U_i-U_f\\ \\=k(x_i+y_i)-k(x_f+x_f)\\ \\=k(1+1)-k(2+3)=-3k$

That is,

Work done by the conservative  forces is given by "-3k".