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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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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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The density of water is 1.00 $g$/$cm^3$. What is this density in $lb$/$ft^3$?
Use dimensional analysis. $"1 g = 0.00220462 lb"$ $"1 cm"^3=3.53147xx10^(-5) "ft"^3"$ $(1.00cancel"g")/(1cancel"cm"^3)xx(1cancel"cm"^3)/(3.53147xx10^(-5)"ft"^3)xx(0.00220462"lb")/(1cancel"g")="62.7 lb/ft"^3"$
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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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If an object has a density of $8.65$ $g$$/cm^3$, what is its density in units of $kg$$/m^3$?
Your goal here will be to use two conversion factors, one to take you from grams to kilograms and one to take you from cubic centimeters to cubic meters....
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9. The density of water is 1.0 g/mL. What is the density of water in pounds/gallon?
Use "Dimensional Analysis" to determine what "conversion factors" you will need before you do the math. $g/"mL" xx "??"/"??" = "lbs"/"gal"$ We need a mass conversion unit ($g to "lbs"$)...
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Aluminium has a density of 2700 $( kg)/m^3$. What is the density in $g/(cm^3)$?
$rho=2700*kg*m^-3$ $=2700xx10^3*g*(100*cm)^-3$ $=2.700xx10^6*gxx1/(100^3*cm^3)$ $=2.700xx10^6*gxx10^-6*cm^-3$ $=2.700*g*cm^-3$ I always have to double check when I use $"cubic metres"$. A $m^3$ ($-=1000*L$) is a HUGE volume.
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A handbook gives the density of calcium as $"1.62 g/cm"^3$. What is the percent error of a density calculation of $"1.37 g/cm"^3$ based on lab measurements?
Your tool of choice here will be the following equation $"% error" = (|"accepted value " - " measured value"|)/"accepted value" * 100%$ So what you're looking for...
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A certain gas has a density of 1.30 g/L at STP. What will its density, in g/L, be at 546 K and 380 torr pressure ?
The gas will have the same at 546 K and 380 torr that it had at STP. There are two ways to prove this - a longer one and...
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