Question Description
Please solve the following problems. You must show all work. Submit in aword doc.
#1. A street light is supported by two wires and each makesa different angle from each other. The one on the left is 32 degrees and theone on the right is 43 degrees. Find the tension in each wire if the streetlight has a mass of 60.0 kg.
#2. There are three masses: m1 = 2.0 kg, m2 = 5.0 kg and m3= 7.0 kg. The masses are all affixed to a massless rod of length 15cm; m1 andm3 are at the ends and m2 is 10 cm from left where m1 is. Calculate the centerof mass of the system.
#3. A pair of hedge trimmers are 45 cm long from the pivotto the end of the handles. If the person applies of a force of 15 N on eachhandle and the blades are 3.5 cm long, how much force is applied to the branch?
#4. A 245 kg person lays on a board that is supported onlyon the ends and that has a mass of 12.0 kg. If the person and the board areboth 205 cm long and the person’s center of mass is 38 cm from the left side,what is the force on either side where the board is supported?
#5. A large tank of water is full and has a depth of 10.0m. What is the pressure at the bottom of the tank? What would the velocity ofthe water be if the tank was opened at the bottom?
#6. Two balloons of identical volume (radius 11.5 m)are filled with gas and each is attached to a cage. The first balloon isfilled with helium, the second with hydrogen (H2) gas. Eachballoon and cage have a mass of 750 kg. What is the lift created by each one?Which one lifts better?
#7. A irregular piece of metal has a dry mass of 5.7 kg.Once it is submerged it has an apparent mass of 2.4 kg. What is the density ofthe piece of metal?
#8. If water leaves a tank of water at a velocity of 16.7m/s, how tall is the tank?
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