3) Gold is a very dense metal with a density of 19.3 g/cm3, what is the volume of a 0.255 kg gold sample? (Answer = 13.2 cm³). Equality 1: g = kg Equality 2: g = cm3 0.255 kg x
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- Carry the following conversions: a. 2.5x10 -10 g in to kg if kg = 10 3 g; b. The label on a small soda bottle lists the volume of the drink as 6.75x10 2ml, how many fluid ounces are in the bottle if 1 ounce (oz) = 29.5725 mlProblem 1. The standard kilogram used to be a platinum–iridium cylinder 39.0 39.0 mm in diameter. What is the density of the material? in height andIn the diagram below there is a thick-walled cylindrical tube. Its height is H = 5.0 m, its inner radius is R1 = 1.0 m, its outer radius is R2 = 3.0 m and its mass is M = 10.0 kg. The volume density is proportional to the square of the height h measured from the top of the cylinder: p x h?. R2 a) Proof that the proportionality constant k (p = kh?) is k = , ms 100m b) Determine the position of the center of mass of this object. c) Determine I, the moment of inertia of the cylindrical tube around the axle going through the center of the top (as shown on diagram). You can use lying =mr? (the rotational inertia of a ring of radius r and mass m rotating around an axis parallel to it, through its center).
- Please help. This problem involves finding the radius and volume of a platinum atom using its density. Thank you.A full can of soda has a mass of 0.436 kg. It contains 3.40 x 104 m³ of liquid. Assuming that the soda has the same density as water, find the volume of aluminum used to make the can. Number i Unitsthe average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?
- The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes: Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass: g What is the value, in dollars, of the same stack of dimes? value: dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. The well-mixed solution is pumped out at the same rate. a) Find the number A(t) of pounds of salt in the tank at time t. b) what is the concentration c(t) of the salt in the tank at time t? At t=5 min? What is the concentration of the salt in the tank after a long time (we can this concentration the limiting value), that is, as t→--? At what time is the concentration of the salt in the tank equal to one-half this limiting value? 500 gallonsGold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold with a mass of 3.663 g, is pressed into a leaf of 2.187 um thickness, what is the area of the leaf? (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.200 um, what is the length of the fiber? (a) Number i 1.429 Units m^2 (b) Number 72.56 Units