EXPLORATIONS:INTRO.TO ASTRONOMY
9th Edition
ISBN: 9781260150513
Author: ARNY
Publisher: RENT MCG
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Chapter 3, Problem 5TY
To determine
The correct option in the case of rocket blasting propellants and lifting off.
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A rocket has an initial mass of 29,000 kg, of which 20% is the payload. It burns fuel at a rate of 175 kg/s and exhausts its gas at a relative speed of 1.8 km/s.
a) Find the thrust of the rocket.
Solved: 315 kN
b) Find the time until burnout.
Solved: 132.57 s
c) Find the rocket's final speed (in km/s) assuming it moves straight upward near the surface of Earth where the gravitational field g is constant.
?
As a rocket ascends, its acceleration increases even though the net force on it stays constant. Why? (Assume a traveling distance small enough that the thrust, acceleration due to gravity and atmosphere do not change.)
As the rocket ascends, fuel is burned at a faster rate resulting in a larger acceleration.The rocket's mass decreases as its fuel is consumed. The same net force acting on a smaller mass results in a larger acceleration. The faster a rocket moves the more acceleration is imparted to it from a given force.As a rocket ascends its momentum increases with its speed. The greater the momentum of the rocket, the greater the acceleration imparted to it from a given force.
Suppose that a projectile of mass m moves in a verticalplane in the atmosphere near the surface of the earth underthe influence of two forces: a downward gravitationalforce of magnitude mg, and a resistive force FR that isdirected opposite to the velocity vector v and has magnitudek v2 (where v = |v| is the speed of the projectile;see Fig. 4.1.15). Show that the equations of motion of theprojectile are
mx'' = -kvx' , my'' = -kvy' -mg,
Chapter 3 Solutions
EXPLORATIONS:INTRO.TO ASTRONOMY
Ch. 3 - What is meant by inertia?Ch. 3 - (3.1) What does Newtons first law of motion tell...Ch. 3 - Explain how inertia and gravity are both involved...Ch. 3 - How does mass differ from weight?Ch. 3 - If your mass is 70 kg on Earth, what is it on the...Ch. 3 - What is Newtons law of gravity?Ch. 3 - Prob. 7QFRCh. 3 - (3.7) If you weigh 110 pounds on Earth, do you...Ch. 3 - Prob. 9QFRCh. 3 - Prob. 10QFR
Ch. 3 - Prob. 1TQCh. 3 - Prob. 2TQCh. 3 - (3.2) Is there a force of gravity between the...Ch. 3 - (3.3) Use Newtons second law of motion to explain...Ch. 3 - (3.4) How many times greater is Earths...Ch. 3 - Prob. 6TQCh. 3 - Prob. 7TQCh. 3 - Prob. 8TQCh. 3 - Prob. 9TQCh. 3 - Prob. 10TQCh. 3 - Prob. 11TQCh. 3 - (3.3) If you apply a force F to a mass m, it...Ch. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - (3.6) Gliese 581e is an exoplanet with a mass of...Ch. 3 - (3.7) Using the method of section 3.7, compare the...Ch. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 1TYCh. 3 - Prob. 2TYCh. 3 - Prob. 3TYCh. 3 - Prob. 4TYCh. 3 - Prob. 5TYCh. 3 - Prob. 6TYCh. 3 - Prob. 7TYCh. 3 - Prob. 8TYCh. 3 - Prob. 9TY
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