Answer:
C = 1.01
Step-by-step explanation:
Given that,
Mass, m = 75 kg
The terminal velocity of the mass,
![v_t=60\ m/s](https://img.qammunity.org/2022/formulas/physics/high-school/xe776nyueck8skchkdaaca1wp0ba8xtd2c.png)
Area of cross section,
![A=0.33\ m^2](https://img.qammunity.org/2022/formulas/physics/high-school/x9ppqumogjaa55tcdbq7x7856gcn4v7evh.png)
We need to find the drag coefficient. At terminal velocity, the weight is balanced by the drag on the object. So,
R = W
or
![(1)/(2)\rho CAv_t^2=mg](https://img.qammunity.org/2022/formulas/physics/high-school/fpwy3pp5gshhpuw3t8ddrdewyh2gjcvkbl.png)
Where
is the density of air = 1.225 kg/m³
C is drag coefficient
So,
![C=(2mg)/(\rho Av_t^2)\\\\C=(2* 75* 9.8)/(1.225* 0.33* (60)^2)\\\\C=1.01](https://img.qammunity.org/2022/formulas/physics/high-school/9py1hhphqszn42dkl588gho82ufyvtomc5.png)
So, the drag coefficient is 1.01.