Question
The thrust produced by a rocket is 150,000 N, and the mass flow rate is 50,000 kg/s. What is the exhaust velocity of the rocket?
5 m/s
3 m/s
4 m/s
6 m/s
5 m/s
3 m/s
4 m/s
6 m/s
Answers
GPT-4o mini
To find the exhaust velocity of the rocket, we can use the thrust equation:
\[
\text{Thrust} = \text{mass flow rate} \times \text{exhaust velocity}
\]
Given:
- Thrust = 150,000 N
- Mass flow rate = 50,000 kg/s
We can rearrange the equation to solve for exhaust velocity (\(v_e\)):
\[
v_e = \frac{\text{Thrust}}{\text{mass flow rate}}
\]
Substituting the given values:
\[
v_e = \frac{150,000 \, \text{N}}{50,000 \, \text{kg/s}} = 3 \, \text{m/s}
\]
Therefore, the exhaust velocity of the rocket is **3 m/s**.
\[
\text{Thrust} = \text{mass flow rate} \times \text{exhaust velocity}
\]
Given:
- Thrust = 150,000 N
- Mass flow rate = 50,000 kg/s
We can rearrange the equation to solve for exhaust velocity (\(v_e\)):
\[
v_e = \frac{\text{Thrust}}{\text{mass flow rate}}
\]
Substituting the given values:
\[
v_e = \frac{150,000 \, \text{N}}{50,000 \, \text{kg/s}} = 3 \, \text{m/s}
\]
Therefore, the exhaust velocity of the rocket is **3 m/s**.