Physics
posted by Andy .
The mass of Venus is 0.8140 times that of earth, and its radius is 0.950 times that of earth. Calculate the acceleration of gravity at the surface of Venus. Express your answer in g's (i.e. as a ratio to our acceleration of gravity).
9.01×101 is the correct ratio
Calculate the average density of Venus (in kg/m3) given the earth's density is 5.52×103 kg/m3.
this is the part I'm having trouble with.
Any help would be greatly appreciated thanks!

The general gravitational attraction formula is
F = GMm/r²
from which g= F/m = GM/r²
To find the value of acceleration on Venus relative to the value on earth, we have
g*0.8140/(0.95)²
=0.9g
Density = mass / volume
Since volume of a sphere is proportional to the cube of the radius
Density = mass / volume
=mass /((4/3)πr³)
Let the average density of earth be
ρ=5.52*10³ kg/m²
density on venus (by proportions)
=ρ*0.8140/0.95³
=0.95ρ approx.
Respond to this Question
Similar Questions

Physics....Orbiting Satellite
A orbiting satellite stays over a certain spot on the equator of (rotating) Venus. What is the altitude of the orbit (called a "synchronous orbit")? 
physics
Venus has radius 6.05 x 10^6 m and mass 4.87 x 10^24 kg. Calculate the value of acceleration due to gravity on Venus's surface. I don't understand 
physics repost
Venus has radius 6.05 x 10^6 m and mass 4.87 x 10^24 kg. Calculate the value of acceleration due to gravity on Venus's surface. don't know this one 
physics
A hypothetical planet has a radius 1.1 times that of Earth, but has the same mass. What is the acceleration due to gravity near its surface? 
Physics
The gravitational acceleration on the surface of Mercury is 0.38 times that of Earth. Its radius is also about 0.38 times that of the Earth. What is the ratio of the density of Mars to that of Earth? 
physics
A planet has a radius of about 0.85 times Earth's radius and a mass of only 0.74 times Earth's mass. Estimate the acceleration due to gravity on the planet. Use M_{Earth} = 5.972 x 10^{24} kilograms and r_{Earth} = 6370 kilometers … 
PHYSICS
THE MASS OF VENUS IS 81.5% OF THE EARTH AND ITS RADIUS IS 94.9% THAT OF THE EARTH. A)COMPUTE THE ACCELERATION DUE TO GRAVITY ON THE SURFACE OF VENUS FROM THESE DATA.B)IF A ROCK WEIGHS 75.0N ON EARTH,WHAT WOULD IT WEIGH ON THE SURFACE … 
AP Physics
At their closest approach, Venus and Earth are 4.2x10^10m apart. The mass of Venus is 4.87x10^24kg, the mass of Earth is 5.97x10^24kg, and G=6.67x10^11Nm2/kg2. What is the force exerted by Venus on Earth at that point? 
Math
If an object which weighs 100 lbs on the Earth's surface were placed on a planet with 2 times the radius of the Earth and with 7 times the Earth's mass, how much would that object weigh? 
Physics
The radius of the planet venus is nearly the same of that of the eart but it's mass is only 80% that of the earth. If an object weighs We on the earth (a) what does it weigh on venus (b) calculate the value of g in venus