A man weighs 75 kg. What is his weight on the moon, where g=2.21 m/s2
g on earth = 9.8 m/s^2
75 kg x (2.21/9.8) = ??kg.
Just a minor correction. kg is a measure of Mass, not weight. If his mass is 75kg on Earth, his mass on the Moon is 75kg.
The weight of a man with mass of 75 kg on earth is:
75 * 9.8 = 735 Newtons
The weight of a man with mass of 75 kg on the moon is:
75*2.21 = 166 Newtons
Mass in kg is basic and does not depend on local gravitational acceleration.
Weight in Newtons is force and does indeed depend on the local gravitational acceleration as well as any other acceleration of the coordinates.
A better question for thinking is this: If a man has a mass of 75kg on Earth, when he is on the moon, what does the moon weigh?
Nice Question.
The answer has to do with what is weight? It is the force between two gravitational objects, in this case, the moon and a 75kg man. The scale will read 75*2.21Newton when he stands on it. This is also the weight of the moon....you can think on that for awhile.
The acceleration due to gravity on the moon is 1.7m/s2. What is the mass of a 10kg object on the moon
To find the man's weight on the moon, where the acceleration due to gravity (g) is 2.21 m/s², we can use the formula:
Weight = Mass x Acceleration due to gravity
First, we need to convert the mass of the man from kg to the unit of measurement used for weight on the moon, which is Newtons (N). We know that 1 kg = 9.81 N on Earth.
So, the weight on Earth is calculated as follows:
Weight on Earth = Mass on Earth x Acceleration due to gravity on Earth
= 75 kg x 9.81 m/s²
= 735.75 N
Now, we can find the man's weight on the moon using the same formula but substituting the value of the moon's acceleration due to gravity:
Weight on Moon = Mass on Moon x Acceleration due to gravity on Moon
Since weight is proportional to the acceleration due to gravity, we can write:
Weight on Moon / Weight on Earth = Acceleration due to gravity on Moon / Acceleration due to gravity on Earth
Rearranging the equation:
Weight on Moon = (Weight on Earth x Acceleration due to gravity on Moon) / Acceleration due to gravity on Earth
Substituting the known values:
Weight on Moon = (735.75 N x 2.21 m/s²) / 9.81 m/s²
≈ 165.50 N
Therefore, the man's weight on the moon would be approximately 165.50 Newtons.