Question 393: Gravitation

Question

In a gravitational field, the gravitational potential is given by, $$V =  - {K \over x}$$ (J/Kg). The gravitational field intensity at point (2, 0, 3) m is

Accepted Answer

Gravitational field intensity $$ = {{ - \partial V} \over {\partial x}}\widehat i + {{ - \partial V} \over {\partial y}}\widehat j + {{ - \partial V} \over {\partial x}}\widehat k$$
where V is gravitational potential
$$\Rightarrow$$ Gravitational field intensity $$ = {{ - \partial } \over {\partial x}}\left[ {{{ - K} \over x}} \right] = {{ - K} \over {{x^2}}}\widehat i$$
at (2, 0, 3)
$$\overrightarrow {{E_G}}  = {{ - K} \over {{2^2}}} = {{ - K} \over 4}\widehat i$$

Answer

$$ + {K \over 4}$$

Answer

$$ + {K \over 2}$$

Answer

$$ - {K \over 2}$$

Answer

$$ - {K \over 4}$$

Gravitation

In a gravitational field, the gravitational potential is given by, $V = - {K \over x}$ (J/Kg). The gravitational field intensity at point (2, 0, 3) m is

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