Question

A rocket of mass 10000kg uses 5.0kg of fuel and oxygen to produce exhaust gases ejected at 5000m/s. Calculate the increase in its velocity

Answer 1

"A rocket of mass 10000 kg uses 5.0 kg of fuel and oxygen to produce exhaust gas ejected at 5000 m/s. Calculate the increase in its velocity."  

ΔV = Vex * ln(initial mass / final mass)  

ΔV = 5000m/s * ln(10000kg / 9995kg) = 2.5 m/s  

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Answer 2

• Given:

     mass of the rocket $=10000kg$

           mass of the fuel  $= 5kg$

• "A rocket of mass 10000 kg uses 5.0 kg of fuel and oxygen to produce exhaust gas ejected at 5000 m/s. Calculate the increase in its velocity."  

•  Basic formula,    

                Δ$V$ $= V_{ejected}$ ㏒ $[\frac{initial mass}{final mass} ]$

              ΔV   $=5000$ ㏒ $[\frac{1000}{995}]$

                       $=2.5m/s$