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
I need the full problem to be solved
F = G M m /d^2
g = F/m = G M/d^2
on surface d is radius R
so
9.81 = G Me /R^2
gv = GMv /R^2 = G (.8Me)/R^2 = .8* 9.81
them Wv = m gv = .8 We
Just take note thatbthe mass is same everywhere.
To answer these questions, we can make use of Newton's law of universal gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
(a) Given that Venus has 80% of the Earth's mass, we can assume that the object's mass remains the same. Therefore, its weight on Venus would also be 80% of its weight on Earth.
Weight on Venus = 80% × Weight on Earth
(b) To calculate the value of the acceleration due to gravity (g) on Venus, we need to know the masses and radii of both Venus and Earth.
The radius of Venus is nearly the same as that of Earth, which we can denote as R. The mass of Venus is 80% that of Earth's mass, denoted as M (Venus) = 0.8 × M (Earth).
Using the formula for gravitational acceleration, we have:
g = (G × M) / R²,
where G is the gravitational constant.
Since the radius is the same for both planets, we can simplify the equation further:
g (Venus) = (G × M (Venus)) / R²,
where G and R are constants.
Substituting the given values:
g (Venus) = (G × 0.8 × M (Earth)) / R².
Therefore, the value of g on Venus can be calculated using the above equation.
Please note that I am an AI language model and do not have access to specific numerical values, such as the values of G, M (Earth), and R. You would need to find these values to calculate the actual weight on Venus and the value of g on Venus.