A SpaceX rocket with an initial mass of m0 uses its engines to hover, stationary, just above the ground. (a) Write down a differential equation for the rocket’s mass using the condition that the thrust must balance the force of gravity. Assume the exhaust speed vex is a constant. (b) The rocket burns fuel and hovers until the final mass is mf . Solve for the amount of time it is able to hover. (c) Calculate the hover time for a rocket that burns an amount of fuel equal to 30% of its initial mass, with an exhaust speed of 2000 m/s.
A SpaceX rocket with an initial mass of m0 uses its engines to hover, stationary, just above the ground. (a) Write down a differential equation for the rocket’s mass using the condition that the thrust must balance the force of gravity. Assume the exhaust speed vex is a constant. (b) The rocket burns fuel and hovers until the final mass is mf . Solve for the amount of time it is able to hover. (c) Calculate the hover time for a rocket that burns an amount of fuel equal to 30% of its initial mass, with an exhaust speed of 2000 m/s.
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 33P: A large rocket has a mass of 2.00106kgat takeoff, and its engines produce a thrust of 3.50107N . (a)...
Related questions
Question
100%
A SpaceX rocket with an initial mass of m0 uses its engines to hover, stationary,
just above the ground. (a) Write down a differential equation for the rocket’s mass using
the condition that the thrust must balance the force of gravity. Assume the exhaust speed
vex is a constant. (b) The rocket burns fuel and hovers until the final mass is mf . Solve for
the amount of time it is able to hover. (c) Calculate the hover time for a rocket that burns
an amount of fuel equal to 30% of its initial mass, with an exhaust speed of 2000 m/s.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University