The force of gravity on the moon is said to be 1/6th of that on the earth .what would be the mass of 12kg weighed on the surface of the earth and moon
g(moon)=g(earth)/6
weight on moon
=m*g(moon)
=m*g(earth)/6
=12kg * 9.81 m/s² /6
To find the mass of an object on the surface of the Earth and the Moon, we can use the formula:
Weight = Mass * Gravity
On Earth, the force of gravity is approximately 9.8 m/s^2, and on the Moon, it is approximately 1/6th of that value.
1. Mass on Earth:
Weight on Earth = Mass on Earth * Gravity on Earth
Weight on Earth = 12 kg * 9.8 m/s^2
Weight on Earth = 117.6 N
2. Mass on the Moon:
Weight on the Moon = Mass on the Moon * Gravity on the Moon
117.6 N = Mass on the Moon * (1/6 * 9.8 m/s^2)
Mass on the Moon = 117.6 N / (1/6 * 9.8 m/s^2)
Mass on the Moon = 117.6 N / 1.63333 m/s^2
Mass on the Moon = 72 kg (approximately)
Therefore, an object with a mass of 12 kg on the surface of the Earth would have a mass of approximately 72 kg on the surface of the Moon.
To find the mass of an object weighed on both the surface of the Earth and the Moon, we need to use the concept of gravitational force.
Step 1: Calculate the weight on Earth.
The weight of an object on the surface of Earth is given by the formula:
Weight = Mass * Acceleration due to gravity (g)
Here, the mass is given as 12 kg.
The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
Weight on Earth = 12 kg * 9.8 m/s^2
Step 2: Calculate the weight on the Moon.
The force of gravity on the Moon is said to be 1/6th of that on Earth. This means the acceleration due to gravity on the Moon is 1/6th of 9.8 m/s^2.
Acceleration due to gravity on the Moon = 1/6 * 9.8 m/s^2 = 1.63 m/s^2
The weight on the Moon can be calculated using the same formula:
Weight = Mass * Acceleration due to gravity (g)
Weight on Moon = 12 kg * 1.63 m/s^2
To find the mass of the same object on both the Earth and the Moon, we need to compare the weights. Since weight is directly proportional to the mass, we can set up an equation to solve for mass:
Weight on Earth = Weight on Moon
12 kg * 9.8 m/s^2 = Mass on Moon * 1.63 m/s^2
Solving for the mass on the Moon:
Mass on Moon = (12 kg * 9.8 m/s^2) / 1.63 m/s^2
Mass on Moon ≈ 72.9 kg
Therefore, the mass of a 12 kg object on the surface of the Earth would be approximately 72.9 kg when weighed on the Moon.