Chapter 6, Problem 57P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A typical person begins to lose consciousness if subjected to accelerations greater than about 5g (49.0 m/s2) for more than a few seconds. Suppose a 3.00 × 104-kg manned spaceship’s engine has an exhaust speed of 2.50 × 103 m/s. What maximum burn rate |ΔM/Δt| could the engine reach before the ship’s acceleration exceeded 5g and its human occupants began to lose consciousness?

To determine
The burn rate of a fuel in an engine.

Explanation

Given Info: Mass of an engine is m=3.00Ã—104kg and acceleration of ship is a=49.0Â m/s2 , exhaust speed of an engine is ve=2.50Ã—103â€‰m/s and instantaneous thrust of a rocket engine is T=1.47Ã—106â€‰N .

Explanation:

Take the net force as instantaneous thrust.

The expression for net force by Newtonâ€™s Second law is,

Fnet=ma

• Fnet is the net force of an engine.
• m is the mass of an engine.
• a is the acceleration of ship.

Rewrite the above equation for thrust.

T=ma (1)

• T is the instantaneous thrust of a rocket engine.

Substitute 3.00Ã—104â€‰kg for m and 49.0â€‰m/s2 for a in equation (1).

T=(3.00Ã—104â€‰kgÂ )(49.0â€‰m/s2â€‰)=147Ã—104â€‰N=1.47Ã—106â€‰N

The expression for thrust is,

T=|veÎ”mÎ”t|

• T is the instantaneous thrust of a rocket engine

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