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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 sphere made out of a material that has a density of $"2.7 g cm"^(-3)$ has a mass of $"82 g"$. What is the radius of the sphere?
The radius= 1.08cm = 0.43in $density=(mass)/(volume)$ $Volume = (mass)/(density)$ $Volume=(82)/(2.7)=30.37cm^3$ The volume of a sphere is given by: $V =4/3pir^3$ So $ r^3=(3V)/(4pi) =(3xx30.37)/(4xx3.142)=1.274$ $r = 1.084cm$
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The density of mercury metal is 13.6 g/mL. What is the mass 45 mL of the metal?
the mass of $1ml$ is $13.6gm$ $:.$the mass of $45ml$ is=$(13.6xx45)$gm $=612gm$
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A block of metal has a width of 32 cm, a length of 17.1 cm, and height of 38 cm. Its mass is 1.1kg. What is the density of the metal?
And thus, $rho$ $=$ $(1.1*kgxx10^3*g*kg^-1)/((32xx17.1xx38)*cm^3)$ This gives the answer in $g*cm^-3$ rather than $kg*cm^-3$.
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Silver has a density of 10.5 g/$cm^3$and gold has a density of 19.3 g/$cm^3$. Which would have a greater mass, 5 E\$cm^3$ of silver or 5 $cm^3$ of gold?
$"Density"$ $=$ $"Mass"/"Volume"$ Thus $"Mass"$ $=$ $"Density"(rho)xx"volume"$ $"Mass of silver"$ $=$ $10.5*g*cancel(cm^-3)xx5*cancel(cm^3)$ $=$ $52.5*g$. $"Mass of gold"$ $=$ $19.3*g*cancel(cm^-3)xx5*cancel(cm^3)$ $~=$ $100*g$. Note that I solved this problem dimensionally. I wanted...
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A piece of metal that measures 33.0 cm by 46.0 cm by 48.0 cm has a mass of 800.0 grams. What is the density of the metal? Would the piece of metal float in water?
By definition, $rho_"metal"="mass of metal"/"volume of metal"$ $=(800*g)/(33.0*cmxx46.0*cmxx48.0*cm)=0.0659*g*cm^-3$ And this is an IMPROBABLY undense metal. The LEAST dense metal, lithium, is approx. $0.5*g*cm^-3$...(at any rate this metal reacts with water)...the...
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You have 48.3g of solid lithium sulfate. If it has a density of $"2220 g/L"$, what volume will this solid occupy?
The problem tells you that lithium sulfate has a of $color(blue)("2220 g")$ $color(purple)("L"^(-1))$, which means that every $color(purple)("1 L")$ of lithium sulfate has a mass of $color(blue)("2220 g")$. In your...
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A graduated cylinder has a mass of 50 g when empty. When 30 mL of water is added, it has a mass of 120 g. If a rock is added to the graduated cylinder, the level rises to 75 ml and the total mass is now 250 g. What is the density of the rock?
We're asked to find the of the rock, given some mass and volume information. We're given that the mass of the system before the rock was added was...
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Do ionic bonds occur between metal and non-metal ions, non-metal and non-metal ions, or metal and metal ions?
Ionic bonds occur between anions and cations. And cations may be metallic, i.e., $M^(2+)$, or they may be non-metallic, i.e. ammonium salts, $NH_4^+$. And anions, while typically non-metallic, i.e. $X^-$...
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Which is an unusual property of water?
$"1. The gas has a smaller volume of than the liquid."$
$"2. The density of the solid phase is LESS than the liquid phase."$
$"3. It has a molecular mass of "18.01*g*mol^-1;$
$"4. The"$ $H-O$ $"bonds are weak."$
Water is an extraordinary substance. For such a small molecule, it has an extraordinarily high melting and boiling point. And its peculiarity is to be explained by hydrogen , which...
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