A great lakes ore freighter has a mass of 31000 tons. It is designed to safely carry 21000 tons of iron ore, when it is in Lake Michigan. How much ore could it carry safely on the ocean? Assume that safety depends only on maintaining the water line at the same position. The density of ocean water is 1025 kg/m3. Express your answer in tons.

The gravitational force exerted on a solid object is 5 N. When the object is suspended from a spring scale and submerged in water, the scale reads 3.5 N. Find the density of the object.

A block of wood has a mass of 3.71 kg and a density of 515 kg/m3. It is to be loaded with lead (1.13 × 104 kg/m3) so that it will float in water with 0.803 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? (a) Number Type your answer for part (a) here Units Choose your answer for part (a) here                                                            (b) Number Type your answer for part (b) here Units Choose your answer for part (b) here

Suppose a 200-kg block of wood with volume 0.5 m3 is placed in a liquid of density 500 kgm3. What will happen to the block of wood? All of these are possible. It will sink. It will float with no part of it above the surface of liquid. It will be partially submerged.

A window on a plane has a radius of  0.33 m. The plane crashes at  a depth that the water pressure is 4.33 × 105 Pa, and the aeroplanes air is at atmospheric pressure 1.01   105 Pa. What force is surrounding the window  keep it in place in newtons?

A typical pressure in a vein is 18 mm Hg. How high would you need to hang an IV bag so that the fluid enters the blood stream at this pressure? Assume the IV fluid has a density of 1000 kg/m3.     A nozzle with an area of 0.3 cm2 is attached to a garden hose with an area of 1.5 cm2. The flow rate through the nozzle is 0.12 L/s.What is the speed of the water in the hose in cm/s? (1 L= 1000 cm3) What is the speed of the water in the nozzle in cm/s? (1 L= 1000 cm3)

25,708 5. A lead block is suspended by means of a string from the underside of a 9.00 kg block of wood of density of 724 kg/m³. If the upper surface of the wood is just level with the water, what is the mass of the lead block? (The density of lead is 11340 kg/m³) EL E 27 R 888 F4 J FO T G kg B tv e MacBook Air 7 N 8 M K zoom by mi 04 M vawes or roe puffer d

A spherical weather balloon is filled with hydrogen until its radius is 4.10 m. Its total mass including the instruments it carries is 16.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. kN (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? kN (c) Why does the radius of the balloon tend to increase as it rises to higher altitude? Because the external pressure     with increasing altitude.

A block of wood, whose volume is V = 0.050 m3, is attached to the bottom of a lake by means of a rope and it is completely immersed in the water. The block has a density of 0.75 × 103kg/m3 (while water has a density of 1.0 × 103 kg/m3). a) Compute the buoyant force and the weight acting on the block.b) What is the tension in the rope?c) If we cut the rope, the block will start accelerating towards the surface. Calculate its acceleration.

You come across an open container that is filled with two liquids. The two liquids have different densities, so there is a distinct separation between them. Water, which has a density of pw = 1.00 × 103 kg/m³, fills the lower portion of the container to a depth of 0.209 m. The fluid that is floating on top of the water is 0.300 m deep. The acceleration due to gravity is g = 9.81 m/s² and atmospheric pressure is Po = 1.013 × 105 Pa. If the absolute pressure on the bottom of the container is 1.049 × 105 Pa, what is the density p₁ of the unknown liquid? P₁ = kg/m³