One day a human being will land on mars. mars has a diameter of 6786 km and a massof 6.42 Γ 1023 kg. if you weighed 834 n on earth, how much would you weigh on mars?
Accepted Solution
A:
Mars radius = 3,393 km Mars Mass = 6.42 x 10^23 kg Earth Radius = 6,371 km Earth Mass = 5.97237Γ10^24kg
Gravity is directly proportional to mass and
Gravity is inversely proportional to the square of the distance.Β
So, we can come up with this equation: Force = Mass / radius^2
Force Earth = 5.97237 x 10^24 / 6,371^2 Force = 1.471 x 10^17
Force Mars = 6.42 x 10^23 / 3,393^2 Force = 5.577 x 10^16
Earth's gravity vs Mars' Gravity = 1.471 x 10^17 / 5.577 x 10^16 = 2.64
Earth has 2.64 times the gravitational attraction that Mars has. So, you would weigh 834 / 2.64 = 316 Newtons on Mars.