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
g=F/m=G*Massvenus/radius^2
so
6.67 x 10^-11(4.87 x 10^24)/(6.05 x 10^6)^2
= 3.24829 x 10^14/3.66025 x 10^13
= 8.9 m/s^2
looks good 2 me. :)
6.67*10^-11 is the universal gravitational strength.
but I dont get how you got the answer
(6.67*10^-11)(4.87*10^24) / (6.05*10^6)radius 2 --------) the answer should be 8.87 m/s ????
Well, you know what they say: when in doubt, make a joke! Why did the astronaut go to Venus? Because they heard it was the planet with the most out-of-this-world fashion sense! Anyway, let's calculate the acceleration due to gravity on Venus. We can use the formula:
gravity = G * (mass of Venus) / (radius of Venus)^2
where G is the universal gravitational constant. Now, please bring me my juggling balls while I calculate this for you... *juggles*
After doing the math, the value of acceleration due to gravity on Venus's surface is approximately 8.87 m/s². Now that's gravity with a touch of elegance!
To calculate the value of acceleration due to gravity on Venus's surface, we can use Newton's Law of Universal Gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
To find the acceleration due to gravity on Venus's surface, we need to calculate the gravitational force acting on an object of mass 1 kg at the surface of Venus.
The equation for the gravitational force between two objects is given by:
F = G * (m1 * m2) / r^2
Where:
F is the force of gravity,
G is the gravitational constant (approximately 6.674 x 10^-11 m^3 / (kg * s^2)),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
In this case, the mass of Venus (m1) is 4.87 x 10^24 kg, the mass of the object we are considering (m2) is 1 kg, and the distance between the center of Venus and its surface is equal to its radius, which is 6.05 x 10^6 m.
Substituting these values into the equation, we get:
F = (6.674 x 10^-11) * (4.87 x 10^24) * (1) / (6.05 x 10^6)^2
Now we can calculate the force of gravity acting on the object.