Q. A satellite of mass $5000\, kg$ is projected in space with an initial speed of $4000 \,m / s$ making an angle of $30^{\circ}$ with the radial direction from a distance $3.6 \times 10^{7} m$ away from the center of the earth.
The minimum distance of satellite from earth:

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A

$66.6 \times 10^{7} m$

B

$14.9 \times 10^{7} m$

C

$1.29 \times 10^{7} m$

D

$1.6 \times 10^{4} m$

Solution:

Minimum distance
$r_{\min } =a(1-e) $
$=6.6 \times 10^{7} \times(1-0.804) $
$=1.29 \times 10^{7} m$

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Q. A satellite of mass $5000\, kg$ is projected in space with an initial speed of $4000 \,m / s$ making an angle of $30^{\circ}$ with the radial direction from a distance $3.6 \times 10^{7} m$ away from the center of the earth. The minimum distance of satellite from earth: