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Laws Of Motion

Question
CBSEENPH11016581

A rocket of initial mass 5000kg consumes the fuel at the rate of 20kg/s. The burnt gases leave the rocket with speed 1000m/s. Find the initial thrust on the rocket?

Solution

Here,
Initial mass of rocket = 5000 kg
Velocity with the burnt gas is leaving the rocket, u = 1000m/s
Rate of consumption of fuel, dm over dt equals 20 space kg divided by straight s
The thrust on the rocket is,
space italic space F italic equals u fraction numerator d m over denominator d t end fraction equals 1000 cross times 20 space equals space 20000 straight N