A rocket consumes `24kg` of fuel per second The burnt gases escape the rocket at a speed of `6.4km//s` relative to the rocket Calculate the upthrust recevied by the rocket Also calculate the velocity acquired by the rocket when the mass redues to `1//100th` of its initial mass.

A rocket consumes `24kg` of fuel per second The burnt gases escape the

1.	A rocket consumes `24kg` of fuel per second The burnt gases escape the rocket at a speed of `6.4km//s` relative to the rocket Calculate the upthrust recevied by the rocket Also calculate the velocity acquired by the rocket when the mass redues to `1//100th` of its initial mass.
Answer» Correct Answer - `1.536 xx10^(5) N; 2.984 xx10^(4) m//s` . Here,` (dm)/(dt) = 24 kg//s` `u = 6.4 km//s = 6.4 xx 10^(3) m//s` upthrust ` = u ((dm)/(dt)) = 6.4 xx 10^(3) xx24` `=1.536 xx 10^(5)N` As `upsilon = u log_(e) (m_(0)/(m))` `:. Upsilon = 6.4 xx 10^(3) log_(e) ((m_(0))/(m_(0) //100))` `= 64 xx 10^(3) xx 2.303 log_(10) (100)` `upsilon = 6.4 xx 10^(3) xx 2.303 xx 2` `2.948 xx 10^(4) m//s` .

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A rocket consumes `24kg` of fuel per second The burnt gases escape the rocket at a speed of `6.4km//s` relative to the rocket Calculate the upthrust recevied by the rocket Also calculate the velocity acquired by the rocket when the mass redues to `1//100th` of its initial mass.

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