Problem 1. Uninflated, the total mass of a hot-air balloon, including all accessories and the balloonist, is 500lbm. Inflated, it behaves virtually as a perfect sphere of diameter 80ft, and rises in air at 50F, whose density is 0.0774lbm/ft3. Unfortunately, the burner fails, the air in the balloon cools, the balloon loses virtually all of its buoyancy, and soon reaches a steady downward terminal velocity, fortunately still retaining its spherical shape. The balloonist is yourself. Having taken a fluid mechanics course, you are accustomed to making quick calculations, and are prepared to endure a 10ft/s crash, but will use a parachute otherwise. You know that for very high Reynolds numbers the drag coefficient is constant at about 0.44. Based on the above, would you use the parachute? Why? Problem 1. Uninflated, the total mass of a hot-air balloon, including all accessories and the balloonist, is 500lbm. Inflated, it behaves virtually as a perfect sphere of diameter 80ft, and rises in air at 50F, whose density is 0.0774lbm/ft3. Unfortunately, the burner fails, the air in the balloon cools, the balloon loses virtually all of its buoyancy, and soon reaches a steady downward terminal velocity, fortunately still retaining its spherical shape. The balloonist is yourself. Having taken a fluid mechanics course, you are accustomed to making quick calculations, and are prepared to endure a 10ft/s crash, but will use a parachute otherwise. You know that for very high Reynolds numbers the drag coefficient is constant at about 0.44. Based on the above, would you use the parachute? Why