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24/12/2021 12:31 pm
Topic starter
A rocket of mass 1000 kg starts by burning fuel at relative velocity 500 m/s. If it accelerates at a rate of 20 m/s2, find the rate at which fuel is burning in kg/s.
(a) 20 kg/s
(b) 10 kg/s
(c) 30 kg/s
(d) 60 kg/s
1 Answer
1
24/12/2021 12:35 pm
Correct answer: (d) 60 kg/s
Explanation:
Mass of rocket (m) = 1000 kg
Velocity v = 500 m/s
Acceleration a = 20 m/s2
m(g + a) = v\(\frac{dm}{dt}\)
\(\frac{dm}{dt}\) = \(\frac{m(g + a)}{v}\)
= \(\frac{1000 \times 30}{500}\)
\(\frac{dm}{dt}\) = 60 kg/s