A large rocket has a mass of 1.91 ✕ 106 kg at takeoff, and its engines produce a thrust of 3.43 ✕ 107 N. (a) Find its initial acceleration (in m/s2) if it takes off vertically. (Enter the magnitude.) m/s2 (b) How long does it take (in s) to reach a velocity of 264 km/h straight up, assuming constant mass and thrust? s (c) In reality, the mass of a rocket decreases significantly as its fuel is consumed. Describe qualitatively how this affects the acceleration and time for this motion.
A large rocket has a mass of 1.91 ✕ 106 kg at takeoff, and its engines produce a thrust of 3.43 ✕ 107 N. (a) Find its initial acceleration (in m/s2) if it takes off vertically. (Enter the magnitude.) m/s2 (b) How long does it take (in s) to reach a velocity of 264 km/h straight up, assuming constant mass and thrust? s (c) In reality, the mass of a rocket decreases significantly as its fuel is consumed. Describe qualitatively how this affects the acceleration and time for this motion.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...
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A large rocket has a mass of 1.91 ✕ 106 kg at takeoff, and its engines produce a thrust of 3.43 ✕ 107 N.
(a) Find its initial acceleration (in m/s2) if it takes off vertically. (Enter the magnitude.) m/s2
(b) How long does it take (in s) to reach a velocity of 264 km/h straight up, assuming constant mass and thrust? s
(c) In reality, the mass of a rocket decreases significantly as its fuel is consumed. Describe qualitatively how this affects the acceleration and time for this motion.
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