 # c)The constant k is given by the formulak = 12 ρ C D Awhere ρ is the density of the atmosphere, A is the frontal area of the object, and CD is a dimensionless constant called the “drag coefficient” which measures how aerodynamic the object is. For instance, according to Wikipedia, the Tesla Model 3 has a drag coefficient of 0.23 and Usain Bolt has a drag coefficient of 1.2. In this question, we will consider a spherical bowling ball, for which we may assume the drag coefficient is CD = 0.5. The frontal area of the bowling ball is A = πr 2 where r is the radius. We will use ρ = 1.225kg/m3 for the density of air.Calculate the constant k for a seven kilogram bowling ball with a diameter of 21.5cm. 2(d) On the Earth, acceleration due to gravity is given by g = 9.81 m/s . If a bowling ball as in part (c) were dropped from the height of 2 kilometers, how long would it take to fall and what would its velocity be upon hitting the ground? Express your answer with at least three significant digits. Harshit Singh
one year ago
Dear Student

Here is solution to your query c

Given diameter = 21.5 cm
Area =πr^2 = 363.05 cm^2 = 0.0363 m^2
Drag coefficient = 0.5
ρ=1.225 kg/m^3
Putting all these values

k = 0.01111

Thanks
one year ago
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3. Revise your notes multiple times till they enter your soul :)
4. Find your strong points and chapters, work on them..
5. Solve other people’s doubts. It makes your own concepts very clear