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.
Divya , 4 Years ago
Grade 12th pass