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A rocket is going upwards with accelerated motion. A man sitting in it feels his weight increased 5 times his own weight. If the mass of the rocket including that of the man is \( 1.0 \times 10^{4} \mathrm{~kg} \), how much force is being applied by rocket engine? (Take, \( g=10 \mathrm{~ms}^{-2} \) ).
(a) \( 5 \times 10^{4} \mathrm{~N} \)
(b) \( 5 \times 10^{5} \mathrm{~N} \)
(c) \( 5 \times 10^{8} \mathrm{~N} \)
(d) \( 2 \times 10^{4} \mathrm{~N} \)
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