A rocket is set for vertical firing If the exhaust speed is `1200ms^(-1)` , how much gas must be ejected per second to supply the thrust needed (i) to overcome the weight of rocket (ii) to give to the rocket an initial vertical upward acceleration of `29.6 m//s^(2)` Given mass of rocket = 6000 kg.

A rocket is set for vertical firing If the exhaust speed is `1200ms^(-

1.	A rocket is set for vertical firing If the exhaust speed is `1200ms^(-1)` , how much gas must be ejected per second to supply the thrust needed (i) to overcome the weight of rocket (ii) to give to the rocket an initial vertical upward acceleration of `29.6 m//s^(2)` Given mass of rocket = 6000 kg.
Answer» Here, ` u=1200 m//s, (dm)/(dt) = ` ? ` m_(0) = 6000 kg ` (i) To overcome the weight of rocket, Thrust , ` F = u (dm)/(dt) = m_(0) g ` ` (dm)/(dt) = (m_(0) g)/(u) = (6000 xx 9.8)/(1200) = 49 kg s^(-1) ` ` a = 29 .6 m//s^(2) u ((dm)/(dt)) = m_(0) (a +g) ` ` ((dm)/(dt)) = (m_(0) (a +g))/(u) = (6000 (29.6 + 9.8))/(1200) ` ` = 197 kg // s ` .

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A rocket is set for vertical firing If the exhaust speed is `1200ms^(-1)` , how much gas must be ejected per second to supply the thrust needed (i) to overcome the weight of rocket (ii) to give to the rocket an initial vertical upward acceleration of `29.6 m//s^(2)` Given mass of rocket = 6000 kg.

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