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A lead cube has a total mass of 30.0kg. What is the length of one side?
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- A rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its density increases steadily between its ends from 2.70 g/cm3 to 19.3 g/cm3. (a) Identify the constants B and C required in the expression = B + Cx to describe the variable density. (b) The mass of the rod is given by m=allmaterialdV=allxAdx=014.0cm(B+Cx)(9.00cm2)dx Carry out the integration to find the mass of the rod.Let AI represent the density of aluminum and Fe that of iron. Kind the radius of a solid aluminum sphere that balances a solid iron sphere of radius rFe on an equal-arm balance.A lead cube has a total mass of 100 kg. What is the length of a side? (Density of lead is 11.3 x 10 ³ kg /m³)
- A cylindrical piece of aluminum is 4.25 cm tall and 1.95 cm in radius. How much does it weigh?A hollow cylindrical copper pipe is 1.70 m long and has an outside diameter of 3.90 cm and an inside diameter of 2.40 cm. How much does it weigh?A solid cylinder has a radius of 2 cm and a length of 7 cm. It has a density of 3.1 g/cm3. What is the mass of the cylinder?
- A sphere made of either brass or aluminum has a radius r= 10cm. What is its mass?You win the lottery and decide to impress your friends by exhibiting a million-dollar cube of gold. At the time, gold was selling for $450 per troy ounce, and 1 troy ounce was equal to 31.1035 grams. How tall would your million-dollar cube be?A uniform silver sphere and a uniform gold sphere have the same mass. What is the ratio of the radius of the silver sphere to the radius of the gold sphere?
- A cube 5.0 cm on each side is made of a metal alloy. After you drill a cylindrical hole of 2.0 cm in diameter all the way through and perpendicular to one face, you find that the cube weighs 7.50 N. (a) What is the density of this metal? (b) What did the cube weigh before you drilled the hole in it?An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 10³ kg/m³. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.665 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 16.8 cm. What is the moment of inertia (in kg. m²) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm Tread 16.5 cm 30.5 cm kg - m²a cubical object made of cast Al 0.224 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 29.5 kg, what is the length of each side of the interior cubical cavity. density Al is 2.70 103 kg/m3.
