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Physics

Need and Importance of Space Mission

A space shutt...

Question

A space shuttle of mass 86400 kg is revolving in a circular orbit of radius $6.66 \times 10^{6}$ m around the earth. It takes 90.1 minutes for the shuttle to complete one revolution. On a repair mission it moves 1 m closer to a disabled satellite every 3.0 s. Find the kinetic energy of shuttle relative to the satellite

4800 J

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480 J

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2.5 \times 10^{12} J

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2.69 \times 10^{11} J

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Solution

The correct option is A 4800 J
$v_{r e l a t i v e} == \frac{relative displacement}{time} = \frac{1}{3}$

$K . E ._{r e l a t i v e} = \frac{1}{2} m v^{2} = \frac{1}{2} \times 86400 \times {(\frac{1}{3})}^{2} = 4800 J$

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The correct option is A 4800 Jvrelative==relative displacementtime=13K.E.relative=12mv2=12×86400×(13)2=4800J

The correct option is A 4800 J
$v_{r e l a t i v e} == \frac{relative displacement}{time} = \frac{1}{3}$

$K . E ._{r e l a t i v e} = \frac{1}{2} m v^{2} = \frac{1}{2} \times 86400 \times {(\frac{1}{3})}^{2} = 4800 J$