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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 
.The thrust on the rocket 
is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
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In a rocket of mass 1000 kg fuel is consumed at arate of 40 kg/s.The v...
Understanding Thrust Calculation
To calculate the thrust produced by the rocket, we can use the formula:
Thrust (F) = mass flow rate (ṁ) × velocity of the gases (v)
Where:
- Mass flow rate (ṁ) is the rate at which the fuel is consumed.
- Velocity of the gases (v) is the speed at which the gases are expelled from the rocket.
Given Data
- Mass of the rocket = 1000 kg (not directly needed for thrust calculation)
- Fuel consumption rate (ṁ) = 40 kg/s
- Velocity of gases (v) = 5 × 10^4 m/s
Calculating Thrust
1. Substituting Values:
- Thrust (F) = 40 kg/s × 5 × 10^4 m/s
2. Performing the Calculation:
- Thrust (F) = 40 × 5 × 10^4
- Thrust (F) = 200 × 10^4
- Thrust (F) = 2 × 10^6 N
Conclusion
The calculated thrust on the rocket is 2 × 10^6 N, which corresponds to option 'C'. This calculation illustrates the relationship between the mass flow rate of the fuel and the velocity of the exhaust gases in generating thrust, a fundamental principle in rocket propulsion.
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