The force of gravity of objects on the moon is approximately one-sixth of their value on Earth. Joe's weight on the moon is 124 N. What will Joe's mass on Earth be?
what is 124*6/9.8 kg? (that is Earth weight divided by Earth graviational field)
To find Joe's mass on Earth, we need to use the relationship between weight, mass, and the force of gravity. The weight of an object can be calculated by multiplying its mass by the force of gravity acting on it.
Let's assume that Joe's mass on Earth is "m" (in kilograms) and the force of gravity on Earth is approximately 9.8 m/s^2.
We can set up the following equation:
Weight on Moon / Weight on Earth = Force of Gravity on Moon / Force of Gravity on Earth
Substituting the given values:
124 N / Weight on Earth = 1/6
Cross-multiplying and solving for Weight on Earth:
Weight on Earth = (124 N * 6) / 1
Weight on Earth = 744 N
Now, we can use the equation for weight:
Weight = mass * force of gravity
Substituting the given values and solving for mass:
744 N = m * 9.8 m/s^2
m = 744 N / 9.8 m/s^2
m ≈ 75.918 kg
Therefore, Joe's mass on Earth would be approximately 75.918 kg.