The force of gravity of objects on the moon is approximately one-sixth of their value on Earth. Joe weighs 7633 N on earth. What will Joe's mass on the moon be?
2+2 is 4-1 that's 3 quick maths
To find Joe's mass on the moon, we need to use the formula:
Weight = mass * gravitational acceleration
where weight is measured in Newtons (N), mass is measured in kilograms (kg), and gravitational acceleration is measured in meters per second squared (m/s^2).
Given that the force of gravity on the moon is approximately one-sixth of its value on Earth, we can calculate the gravitational acceleration on the moon using the following equation:
Gravitational acceleration on the moon = (1/6) * Gravitational acceleration on Earth
Since the gravitational acceleration on Earth is approximately 9.8 m/s^2, we can calculate the gravitational acceleration on the moon as follows:
Gravitational acceleration on the moon = (1/6) * 9.8 m/s^2 ≈ 1.63 m/s^2
Now, let's plug in the values into the weight formula and solve for mass:
Weight on Earth = mass * Gravitational acceleration on Earth
7633 N = mass * 9.8 m/s^2
Dividing both sides by 9.8 m/s^2, we get:
mass = 7633 N / 9.8 m/s^2 ≈ 779.9 kg
Therefore, Joe's mass on the moon would be approximately 779.9 kg.
To find Joe's mass on the moon, we can use Newton's second law of motion, which states that the force acting on an object is equal to the product of its mass and acceleration.
On Earth, Joe weighs 7633 N, which is the force of gravity acting on him. Since the force of gravity on the moon is approximately one-sixth of that on Earth, we can calculate Joe's weight on the moon by dividing his weight on Earth by six:
Weight on Moon = Weight on Earth / 6
Weight on Moon = 7633 N / 6 = 1272.17 N
Now, we know that Weight = mass * acceleration due to gravity. Rearranging the equation to solve for mass, we get:
mass = Weight / acceleration due to gravity
On the moon, the acceleration due to gravity is approximately 1/6th that of Earth. Therefore, we can calculate Joe's mass on the moon as follows:
mass on Moon = Weight on Moon / (acceleration due to gravity on Moon)
mass on Moon = 1272.17 N / (9.8 m/s^2 / 6) = 1272.17 N / 1.63 m/s^2 ≈ 781.78 kg
Therefore, Joe's mass on the moon will be approximately 781.78 kg.
Weight = mass x gravity
7633 = mass x 9.8
mass = 778.88 kg
divide by 1/6 to get mass on the moon.
1/6