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A solid sphere of uniform density has a mass of 4.0×104 kg and a radius of 2.5 m. What is the gravitational force due to the sphere on a particle of mass 1.0 kg located at a distance of 3.00 m from the center of the sphere?
By using , we can calculate the gravitational attraction as if the solid sphere were a point mass, with all the mass concentrated at the center of the sphere....
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A foam material has a density of $175$ $g$$/L$. What is its density in units of $lb$$/ft^3$?
Let's break the answer down into three parts: $color (brown) ("First,"$ we're going to convert grams to pounds using this conversion factor: $color(white)(aaaaaaaaaaaaaaaaa$ 1 pound = 453.592 grams $color (purple)...
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At $20°C$, the density of copper is $8.9$ $g$$/$$cm^3$. The density of platinum is $21.4$ $g$$/$$cm^3$. What does this tell you about how the atoms are "packed" in each material?
$"Molar mass (Cu)"$ $=$ $63.55$ $g*mol^-1$. $"Molar mass (Pt)"$ $=$ $195.08$ $g*mol^-1$. This threefold difference in molar mass, of course translates to . Given that the difference in densities is...
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A solid metal sphere has a radius of $4.00$ $cm$ and a mass of $1.794$ $kg$. What is the density of the metal in $g$$/$$cm^3$?
From definition, is the mass per unit volume. $therefore rho=m/V=m/(4/3pir^3)$ $=(1794g)/(4/3pixx4^3)$ $=6.692g//cm^3$.
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What is the density of a material that has a mass of 5.6 g and when placed in a graduated cylinder changes the volume of water from 17.0 mL to 19.2 mL?
The equation for density is mass divided by volume i.e. $D = m/V$. The mass of the material is $5.6$ $g$. The volume is $2.2$ $mL$. If you're wondering why,...
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A cube made of an unknown material has a height of 9 cm. The mass of this cube is 3,645 grams. How do you calculate the density of this cube given this information?
So given that it is a cube, $rho=(3645*g)/((9*cm)^3)$ $=$ $5*g*cm^-3$. Why did I cube the side length?
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A student announced that she had made a sample of a new material that had a density of 0.85 g/$cm^3$. Can you tell how large a sample she had made? How?
Can you tell me how much water you have if I tell you its is $"0.998 g/mL"$? (No. You could have a droplet... or several oceans. They'll all have densities...
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What is the atomic mass of hafnium if, out of every 100 atoms, 5 have a mass of 176, 19 have a mass of 177, 27 have mass of 178, 14 have a mass of 179, and 35 have a mass of a 180?
If there are two an element $"Average atomic mass" = "mass"_axx "fract"_a + "mass"_b xx "fract"_b$ In the given problem about Hafnium, 5 isotopes have been given. Extending the...
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What is the average atomic mass of an element if, out of 100 atoms, 5 have a mass of 176 amu, 19 have a mass of 177 amu, 27 have a mass of 178 amu, 14 have a mass of 179 amu, and 35 have a mass of 180 amu?
The $"Average Atomic Mass"$ of an element is defined as "the weighted average mass of all naturally-occurring (occasionally radioactive) of the element." (and hence the name "average") [1] Dividing the...
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If the density of a material is $0.88*g*mL^-1$, what is the material?
Well we can work out the density..... $rho="Mass"/"Volume"=(8.184*g)/(10.5*mL-1.2*mL)=0.88*g*mL^-1$. This could literally be anything.........
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