Problem $10$

A table tennis ball weighting $2\mathrm{.}45{10}^{-2}N$ with diameter $($D$)38$ mm is dropped freely. Assume the surface of table tennis ball is smooth.

Given that:

Density of air $=1\mathrm{.}2k\frac{g}{m^3}$

Dynamic viscosity $()=1\mathrm{.}81{10}^{-5}k\frac{g}{m}s$

a$)$ Draw the free body diagram of the table tennis ball to the relationship between buoyant force, drag force and the weight of the ball.

b$)$ Determine the velocity of the ball in terms of drag coefficient $(C_D).$

c$)$ Determine the velocity and drag coefficient using Figure provided.