Neco 2019 Physics Question 15
Practice objective / multiple choice question 15 from the 2019 Neco Physics examination.
A student measures the distance \(s\) (in metres) fallen by a small steel ball as a function of time \(t\) (in seconds) and obtains the data: (0,0), (0.5,1.2), (1.0,2.3), (1.5,3.1), (2.0,3.8), (2.5,4.3), (3.0,4.7). Assuming the motion follows \(s = \frac{v_{t}}{k}\bigl(1-e^{-k t}\bigr)\), where \(v_{t}\) is the terminal velocity and \(k\) a constant, (a) estimate \(v_{t}\) from the data, and (b) using \(v_{t}\) calculate the drag coefficient \(C_{d}\) given \(F_{d}=\frac{1}{2}C_{d}\rho A v^{2}\), with \(\rho=1.2\,\text{kg·m}^{-3}\), \(A=3.14\times10^{-4}\,\text{m}^{2}\), and the ball mass \(m=0.005\,\text{kg}\). Assume at terminal speed \(mg=F_{d}\).
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About This Question
This is Neco 2019 Physics Question 15. It is one of the objective questions from the 2019 Neco Physics examination.
Difficulty level: Hard .
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