1. A uniform sphere of lead (ρ = 11 300 kg / m3) and one of aluminum (ρ = 2 700 kg / m3) have the same mass. What is the relationship between the radius of the aluminum sphere and that of the lead sphere?
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1. A uniform sphere of lead (ρ = 11 300 kg / m3) and one of aluminum (ρ = 2 700 kg / m3) have the same mass. What is the relationship between the radius of the aluminum sphere and that of the lead sphere?
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- A student experimentally determines the density of a metal to be 5.0 g/cm^3. What is the most likely identity of the metal? a.) copper (density = 8.96 g/cm3) or b.) iron (density = 7.87 g/cm3) or c.) titanium (density = 4.51 g/cm3) or d.) aluminum (density = 2.70 g/cm3)1. a cubical object made of cast aluminum 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 of Al = 2.70 103 kg/m3.A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 7.06x10-2 kg/s. The density of the gasoline is 730 kg/m3, and the radius of the fuel line is 2.20x10-3 m. What is the speed at which gasoline moves through the fuel line?
- You have three objects of varying shapes and sizes: Object 1 is a rectangular block of tin. Object 2 is a cube of aluminum. Object 3 is a sphere of copper. a. the density of tin is 5.75g/cm2. What is the mass of object 1 in kg if the rectangular block has a volume of 1.34L? b. what is the volume in cubic inches of object 2 if the cube of aluminum 7.58 inches on a side? c. what is the mass in kg of object 2? the density of aluminum is 2.70g/cm3 d. what is the volume in cm3 of object 3 if the sphere of copper has a diameter 8.62cm? the volume of the sphere is 4 {pi}^3/3 e. what is the mass in kg of object 3? Copper has a density of 8.96g/cm3it’s a lovely day and you decide to launch a giant helium balloon. Once filled, your balloon is a perfect sphere with a radius of 6.90 m. You consider having the balloon lift a crate of water balloons. What is the maximum weight the filled helium balloon can just lift (solve for the equilibrium condition where upward force equals downward force)? Assume that the membrane of the helium balloon has a mass of 920 kg (this does not include the mass of the helium within nor the mass of the crate). Neglect the buoyant force on the crate of water balloons. Density of He is 0.179 kg/m3. Density of air is 1.29 kg/m3. Volume of a sphere is 4/3 π r3. Weight is in N (not kg)A probe on a dwarf planet collects 5 moles [mol] of dust material. The sample, which completely fills a cube with a side length of 4 centimeter [cm], weighs 0.19 newtons [N] on the dwarf planet. The density of the material is determined to be 3160 grams per liter [g/L].Determine the gravity of the dwarf planet in units of meters per seconds squared [m/s2].
- An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 10 ka/m, The tire can be modeled as consisting of two flat sidewals 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 0.05 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 16.0 cm. what is the moment of inertia (in kg -m) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm 16.5 cm 50.5 cm Tread kg- m2E 2. What is the smallest number of whole logs (density = 765 kg/m³, radius = 0.084 m, length = 3.27 m) that can be used to build a raft that will carry 6 people, each of whom has a mass of 80.0 kg? logs MAR 2 27 888 F4 R % 5 T G tv 6 MacBook Air & 7 H U 8 A 9 DD W F10 zoom X KL K P by mi 04 M quies or rne puffer sA child is playing with a 0.5 kg ball in the swimming pool. The ball is made of a stiff rubber and has a radius of .25 m. Assume the volume of the ball does not change when held under water. What downward force must the child exert on the ball to hold it in equilibrium just below the surface of the water? a. b. How does this answer change if the child was holding the ball near the bottom of the pool (1.5 m down)?
- 2. You are manufacturing a can which is a perfect cylinder. The ideal volume of the can is 375 cm3. Since the bases of the cylinders are exactly 50 cm2, the volume of the can is V = 50h where h is the height of the can in centimeters. You need to cut the sides of the can so the volume has at most an error of 10 cm³. Give the range of heights the can could have and still meet the required specifications for its volume.1- An aorta has an inside diameter of 1.6 cm and carries blood at speeds of up 30 cm/s. What is the speed of the blood if plaque on the artery's walls has reduced its diameter by 60 %? 0.3/s =pie0.0048^2v 0.3=0.00002304 pie v 4144.66 m/s 51 Or 81 6) 114