the radius of the planet venus is nearly the same to that of the earth, but its mass is only 80% that of the earth. if an objects weighs we on the earth, what does it weigh on venus? calculate the value of g on venus.
please i need your assistant
g = GM/r^2
where M is mass of earth and r is radius of earth
So, if you replace M with 0.8M, you get 0.8g = 7.85 m/s^2
To calculate the weight of an object on Venus, we can use the formula:
Weight = mass * acceleration due to gravity
Since the radius of Venus is nearly the same as that of Earth, but its mass is only 80% of Earth's mass, we can assume the mass of the object remains the same as on Earth.
Let's denote the object's weight on Earth as W Earth and on Venus as W Venus. We can write the following equation:
W Earth = mass * g Earth
W Venus = mass * g Venus
Since the mass of the object remains the same, we can equate the two expressions:
mass * g Earth = mass * g Venus
The mass cancels out, so we have:
g Earth = g Venus
Therefore, the value of acceleration due to gravity (g) on Venus is the same as that on Earth.
Now, to calculate the weight of an object on Venus, we can use the known weight of the object on Earth using the formula:
W Venus = W Earth = mass * g Earth
So, the object would weigh the same on Venus as it does on Earth, given the same mass.