Name a varying mass system Drive the expressions the (i) for the velocity of propulsion of a rocket at any instant (ii) burnt out speed (iii) Thrust on the rocket

What is meant by burnt out speed of a rocket?

Burnt out speed of a rocket …..when…… .

A rocket of initial mass m_0 has a mass m_0(1-t//3) at time t. The rocket is lauched from rest vertically upwards under gravity and expels burnt fuel at a speed u relative to the rocket vertically downward. Find the speed of rocket at t=1 .

A rocket motor consumes 100 kg of fuel per second, exhausting it with a speed of 5xx10^(3)ms^(-1) . (i) What force is exerted on the rocket ? (ii) What will be the velocity of the rocket at the instant its mass is reduced (1//20) th of its initial mass, its initial velocity being zero. Neglect gravity.

Fuel is consumed at the rats of 100kg//s in a rocket The exhaust gases are ejected at a speed of 4.5 xx 10^(4) ms^(-1) w.r.t the rocket What is the thrust experienced by the rocket Also calculate velocity of the rocket at the instant when its mass is reduced of rocket to be zero .

A double stage rocket has an initial mass M_(i) , gas is exhausted front he rocket at a constant rate of dm/dt and with an exhaust velocity u relative to the rocket. When the mass of the rocket reaches the value mu , the first stage of mass m of Which fuel is exhausted is disengaged from the rocket and then the rocket continues to the second stage at teh same rate and exhaust velocity as int eh first stage, until it reaches a mass M_(f) (a). Calculate the rocket velocity at the end of the first stage, given that it is started at rest. (b). Calculat ethe rocket velocity at the end of the second stage. ltbr. (c). What is the final velocity of a one stage rocket of the same initial M_(i) mass and the same amount of fuel ? it is greater or less than final velocity of the double stage rocket?

A rocket of initial mass m ( including fuel) ejects mass at a constant rate of 25 kg/s with a speed 60 m/s relative to the rocket. If the acceleration of the rocket 3.5 minutes after the firing is 2m//s^(2) . What is the initial mass of the rocket ? [Neglect gravity] Express your answer in unit of 10^(3) kg

A rocket motor consumes 100 kg of fuel per second exhausting it with a speed of 6 xx 10^(3) ms^(-1) What thrust is exerted on the rocket ? What will be the velocity of the rocket at the instant its mass is reduced to (1 // 40) of its initial mass ? Take initial velocity of rocket as zero . Neglect gravity .

In a rocket of mass 1000 kg fuel is consumed at a rate of 40 kg/s . The velocity of the gases ejected from the rocket is 5xx10^(4)m//s . The thrust on the rocket is