4) A smooth sphere of a diameter 8.50cm made of materials with an unknown density drops in an engine oil at a terminal velocity of 3.20m/s. The engine oil has a temperature of 40C. The density and dynamic viscosity of the engine oil can be found in the table in Q3. a) By first determining the type of flow, calculate the drag force on the sphere using the diagram below. (9 points) b) By balancing the forces on the sphere, determine the density of the sphere. (6 points) c) Without doing any calculations, explain any change in the terminal velocity if the temperature of the engine oil increases. (4 points) 4) A smooth sphere of a diameter 8.50cm made of materials with an unknown density drops in an engine oil at a terminal velocity of 3.20m/s. The engine oil has a temperature of 40C. The density and dynamic viscosity of the engine oil can be found in the table in Q3. a) By first determining the type of flow, calculate the drag force on the sphere using the diagram below. (9 points) b) By balancing the forces on the sphere, determine the density of the sphere. (6 points) c) Without doing any calculations, explain any change in the terminal velocity if the temperature of the engine oil increases. (4 points)