The work done by an external agent to shift a point mass from infinity to the center of the earth is 'W'. Then choose the correct relation.

Question

The work done by an external agent to shift a point mass from infinity to the center of the earth is 'W'. Then choose the correct relation. (A) W=0 (B) W>0 (C) W<0 (D) W≤0

Tardigrade Admin · Accepted Answer

W text ext =Δ U = U f - U i = U f -0= U f W ext =(-3 GMm /2 R ) arrow W text ext <0

Q. The work done by an external agent to shift a point mass from infinity to the center of the earth is 'W'. Then choose the correct relation.

W=0

W>0

W<0

$W \leq 0$

$W_{ext} = Δ U = U_{f} - U_{i} = U_{f} - 0 = U_{f}$
$W_{e x t} = \frac{- 3 GM m}{2 R} \to W_{ext} < 0$

Q. The work done by an external agent to shift a point mass from infinity to the center of the earth is 'W'. Then choose the correct relation.

W=0

W>0

W<0

W≤0

Wext ​=ΔU=Uf​−Ui​=Uf​−0=Uf​ Wext​=2R−3GMm​→Wext ​<0

$W \leq 0$

$W_{ext} = Δ U = U_{f} - U_{i} = U_{f} - 0 = U_{f}$
$W_{e x t} = \frac{- 3 GM m}{2 R} \to W_{ext} < 0$