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Chapter 4: Q3Q (page 82)

When Paris was shelled from 100 km away with the WWI long-range artillery piece “Big Bertha,” the shells were fired at an angle greater than to give them a greater range, possibly even twice as long as at 45º. Does that result mean that the air density at high altitudes increases with altitude or decreases?

Short Answer

Expert verified

At higher altitudes air density decreases.

Step by step solution

01

Given information:

θ=45o

d=100km

02

Understanding the given information

The problem is based on the projectile of an object. A projectile is an object upon which the only force acting is gravity. An object dropped from rest is a projectile (provided that the influence of air resistance is negligible).

03

To The magnitude of Betty’s force.

When the launch angle of the projectile increases that means it will move at a higher altitude. In light of the fact that shooting the shell at a larger angle increases its horizontal range, it follows that the shell moves more quickly at higher altitudes than at lower ones.

This indicates that at greater altitudes than at lower altitudes, the shell encounters less air resistance.

This indicates that at higher altitude air density decreases as you ascend.

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