A balloon filled with helium gas has an average density of ρb = 0.31 kg/m3. The density of the air is about ρa = 1.23 kg/m3. The volume of the balloon is Vb = 0.075 m3. The balloon is floating upward with acceleration a.  Express the total force F in terms of W and Fb assuming upward is the positive direction.

A naval mine is a sphere (V=4/3 Ttr^3 ) of radius 0.5 m that would normally float in water (p_water=1000 kg/m^3 ). The mine (p_mine=700 kg/m^3 ) is held under the surface by a cable that attaches it to the sea floor. a. Find the volume of the naval mine. b. Find the mass of the naval mine. c. Find the tension in the cable that holds the mine under the surface using Newton's Second Law.

A legendary Dutch boy saved Holland by plugging a hole in a dike with his finger, which is 1.10 cm in diameter. (a) If the hole was 1.80 m below the surface of the North Sea (density 1030 kg/m3), what was the force on his finger? 3 Your response differs from the correct answer by more than 10%. Double check your calculations. N (b) If he pulled his finger out of the hole, how long would it take the released water to fill 1 acre of land to a depth of 1 ft assuming the hole remained constant in size? (A typical U.S. family of four uses 1 acre-foot of water, 1234 m3, in 1 year.) 33 Your response differs from the correct answer by more than 10%. Double check your calculations. days

A truck is placed on a raft, which causes the raft to drop 0.0367 meters lower into the water. The length and width of the raft are 15.24 meters and 6.10 meters. What is the weight of the truck?. Valeatine's Transport Services O 1.00 x 104 Newtons O 3.34 x 104 Newtons O 5.11 x 104 Newtons O 6.68 x 104 Newtons O 6.09 x 103 Newtons