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The moon has a mass of 7.35×10

22

 kg

7.35×1022 kg and a radius of 1.738×10

6

 m

1.738×106 m. At what speed must a rocket be launched from the surface of the moon so as not to fall back to the moon?


a 20N attached to the end of a 20m long string is rotating as a conical pendulum. if it rotated as 50 rev/min, what angle will the string make with the vertical?


An ice cube is placed in a glass of water. The cube is 2.0 cm on each side and has a density of 0.917 g/cm3. What is the magnitude of the buoyant force on the ice?

A waterbed is 2 meters on a side and 30 cm deep. A) Find its weight. B) Find the pressure of the bed exerted onto the floor.




4. Calculate the absolute pressure at an ocean depth of 1000 meters. Assume the density of water is 1000 kg/m3 , and take Pa = 1.013 X 105 Pa.

A blimp is filled with 300 m3 of helium. How big a payload can the balloon lift (the density of air is 1.29 kg/m3 , the density of helium is .179 kg/m3 .)

. A piece of gold is suspended from a string and then completely immersed in a container of mercury. The volume of gold is 300cm3 and its density is 19.3 X 103 kg/m3 . Calculate the tension in the string before and after the gold is immersed in mercury.



In a car lift used in a service station, compressed air exerts a force on a small piston having a radius of 1.5 cm. This pressure is transmitted to a second piston of radius of 6.75 cm. What force must the compressed air exert in order to lift a car weighing 17,750 Newton’s? What air pressure will produce this force?

A king orders a gold crown having a mass of .5 kilograms. When it arrives from the metal smith, the volume of the crown is found to be 185 cm3 . Is the crown made of gold?

A small ingot of shiny gray metal has a volume of 25 cm3 and a mass of 535 grams. What is the metal?

Calculate the mass of a solid iron sphere that has a diameter of 3.0 cm.

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