Thank you for visiting A rocket with an initial mass of 6000 kg ejects mass at a constant rate of 16 kg s with a constant relative speed of. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The acceleration of a 6000-kg rocket ejecting mass at 16 kg/s with a relative speed of 11 km/s, a minute after the blast, is b. 34.9 m/s².
Explanation:
The question asks what the acceleration of a rocket with an initial mass of 6000 kg is when it ejects mass at a constant rate of 16 kg/s with a constant relative speed of 11 km/s (which is converted to 11000 m/s), one minute after the blast.
To find the acceleration of the rocket a minute after the blast, we can use the following information:
- Initial mass, m0: 6000 kg
- Mass ejection rate, b: 16 kg/s
- Exhaust velocity, ve: 11000 m/s
- Time, t: 60 seconds
After one minute, the mass of the rocket will be:
m = m0 - bt = 6000 kg - 16 kg/s*60 s
m = 6000 kg - 960 kg
m = 5040 kg
The rocket's thrust (T) can be calculated by:
T = b* ve
T = 16 kg/s* 11000 m/s
T = 176000 N (Newtons)
According to Newton's second law, the acceleration (a) is:
T = m* a
So,
a = T / m
a = 176000 N / 5040 kg
a = 34.9 m/s2
The acceleration of the rocket a minute after the blast is 34.9 m/s
2, which corresponds to option b.
Thank you for reading the article A rocket with an initial mass of 6000 kg ejects mass at a constant rate of 16 kg s with a constant relative speed of. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
