Solution Found!
Consider the following statement: If at all times during a
Chapter 2, Problem 2.32(choose chapter or problem)
Consider the following statement: If at all times during a projectile's flight its speed is much less than the terminal speed, the effects of air resistance are usually very small.
(a) Without reference to the explicit equations for the magnitude of \(v_{\text {ter }}\), explain clearly why this is so.
(b) By examining the explicit formulas (2.26) and (2.53) explain why the statement above is even more useful for the case of quadratic drag than for the linear case. [Hint: Express the ratio f /mg of the drag to the weight in terms of the ratio \(v / v_{\text {ter }}\).]
Questions & Answers
QUESTION:
Consider the following statement: If at all times during a projectile's flight its speed is much less than the terminal speed, the effects of air resistance are usually very small.
(a) Without reference to the explicit equations for the magnitude of \(v_{\text {ter }}\), explain clearly why this is so.
(b) By examining the explicit formulas (2.26) and (2.53) explain why the statement above is even more useful for the case of quadratic drag than for the linear case. [Hint: Express the ratio f /mg of the drag to the weight in terms of the ratio \(v / v_{\text {ter }}\).]
ANSWER:Step 1 of 3
When the projectile's speed is less than the terminal speed, then the force applied by the projectile on the air particle is significantly less, and the projectile drags very less air. Due to this, the reaction of air particles on the projectile is very low or can be neglected.
Therefore, the projectile's speed is less than the terminal speed, then the effect of air resistance is usually very small.