Problem #3 W Liquid film of thickness h Block contact area A A block of weight W is sliding down an inclined plane. The angle of the inclined is represented by 0.The block is lubricated by a thin film of oil with a linear velocity profile and a thickness h. The film contact area is represented by A. First derive an expression for the terminal velocity (acceleration is zero) of the block V. Now if you assume that the mass of the block is 6kg, the contact area is 35 cm, and 0=15. The oil film is SAE oil at 20C and is 1mm thick. What is the block's terminal velocity V? Problem #4 The system shown in problem 3 is now an experiment being conducted on Mars by SpaceX. Elon Musk wants to build a giant slide down the Valles Marineris on Mars as a way to get Amazon deliveries to his Mars base at the bottom of the canyon. What would the terminal velocity of the block be if it was on Mars on the same inclined plane and oil film? (gravity on Mars is 37.5% of that on Earth) Now imagine that at the end of this inclined slide there is a membrane the block must break through to enter the airlock. It takes 40 N*s (kg*m/s) to break this airlock membrane and Elon is convinced that this system will work just the same as it does on Earth for his Austin, TX residence because the slide on Mars is much longer. Is he right? Will it break through? (Assume in both systems on Earth and on Mars the block reaches terminal velocity and the oil properties do not change)