The drag force coming from air resistance is proportional to the square of the v

Question

The drag force coming from air resistance is proportional to the square of the velocity with magnitude .

a) Since the air resistance increases rapidly with increasing speed, a baseball falling vertically will have its acceleration go to zero when its speed approaches a certain value called the

terminal speed. Find an expression for in terms of the drag coefficient b, gravitational acceleration g and the mass of the ball m.

You throw a baseball straight up in the air with initial speed equal to .

b) What is the ball

Explanation / Answer

Let the drag force R = kv^2 a) terminal velocity is reached when the gravitational force = R kv^2 = mg v= (mg/k)^0.5 b) moving up mg+R = ma ma = mg+(mg/k)*k/4 = mg+mg/4 a = 5g/4 = 12.25 m/sec^2 c) moving down ma = mg-R = mg - (mg/k)*k /4 = mg-mg/4 a = 3/4 g = 7.35m/sec^2

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.