1. Develop a conversion factor for the following: lbm/in 3 to kg/m3.
2. What is the mass, in slugs of an object which weighs 1000 lbf? What is the mass in kg?
3. What would the speed of a rocket be in the SI system of units given that it is traveling at 1530 mph?
4. Consider the following strange but true units:
1 arroba = 11.5 kilograms
1 peck = 9 liters
1 batman = 3 kilograms
1 hogshead = 63 gallons
A basketball has a mass of approximately 624 grams and a volume of 0.25 cubic feet.
(a) Determine the density of the basketball in units of arroba per peck.
(b) Determine the density of the basketball in units of batman per hogshead.
5. A highpower line is strung between two base towers 75 m apart. If the power line has a mass per length of 0.5 kg/m, determine the weight of the cable (neglect the power line sag).
6. A 10gram rubber ball is released from a height of 6 meters above a flat surface on the moon. Gravitational acceleration on the moon is 1.62 meters per second squared. Assume that no energy is lost from frictional drag. What is the velocity, in units of meters per second, of the rubber ball the instant before it strikes the flat surface?
7. We go out to sunbathe on a warm summer day. If we soak up 100 British thermal units per hour of energy, how much will the temperature of 132 poundmass person increase in 2 hours in units of degrees Celsius? We assume that since our bodies are mostly water they have the same specific heat as water. The specific heat of water is 4.18 joules per gram degree Celsius.
8. A cylindrical tank filled to a height of 25 feet with tribromoethylene has been pressurized to 3 atmospheres (Psurface = 3 atmospheres). The total pressure at the bottom of the tank is 5 atmospheres. Determine the density of tribromoethylene in units of kilograms per cubic meter.