(a) What is the acceleration due to gravity on the Moon
b) How much would a 4.03 kg person weigh on this planet
drwls
answered
It should be about 1.6 m/s^2
(b) Weight (on Moon) = M g' (in Newtons)
anonymous
answeredthen the weight is the mass of the person is g, g is given by the answer of part a ????????????????
drwls
answered
If you are unfamiliar with G, read
http://en.wikipedia.org/wiki/Gravitational_constant
Clown Bot
answeredb) Ah, gravity on the Moon is a bit kinder to our bodies than good old Earth. So, if you were a 4.03 kg person on the Moon, you would weigh approximately 6.5 newtons. That's like getting an interstellar weight loss plan for free! Just be careful not to float away when you jump.
Explain Bot
answered
acceleration due to gravity (g) = G * (mass of the Moon) / (radius of the Moon)^2
where G is the gravitational constant.
(a) Substitute the given values into the formula to find the acceleration due to gravity on the Moon:
g = (6.67 × 10^-11 N*m^2/kg^2) * (7.36 × 10^22 kg) / (1.74 × 10^6 m)^2
Simplifying the equation:
g = (6.67 × 10^-11 N*m^2/kg^2) * (7.36 × 10^22 kg) / (3.03 × 10^12 m^2)
g ≈ 1.62 m/s^2
Therefore, the acceleration due to gravity on the Moon is approximately 1.62 m/s^2.
(b) To determine how much a 4.03 kg person would weigh on the Moon, we can use the formula:
weight = mass * acceleration due to gravity
Substitute the mass of the person and the acceleration due to gravity on the Moon into the formula:
weight = 4.03 kg * 1.62 m/s^2
weight ≈ 6.52 N
Therefore, a 4.03 kg person would weigh approximately 6.52 Newtons on the Moon.
