The mass of the girl in earth is 24kg. What is her mass and weight in moon if the moon's gravity is 1/6 of the earth' gravity?
her mass is the same -- 24 kg
her weight is 1/6 of her weight on earth
To calculate the girl's mass and weight on the moon, we need to consider the difference in gravitational force between the Earth and the Moon.
1. Mass:
The mass of an object is the same regardless of the gravitational force acting on it. Therefore, the girl's mass on the Moon will remain the same as her mass on Earth, which is 24 kg.
2. Weight:
Weight is the force exerted on an object due to gravity. On Earth, the weight of an object is found by multiplying its mass by the acceleration due to gravity, which is approximately 9.8 m/s².
Weight = Mass × Acceleration due to gravity
On the Moon, the acceleration due to gravity is 1/6 of Earth's gravity. So, we need to multiply the girl's mass by this factor to find her weight on the Moon.
Weight on Moon = Mass × (1/6) × (Acceleration due to gravity)
Weight on Moon = 24 kg × (1/6) × 9.8 m/s²
Weight on Moon = 3.9 kg × 9.8 m/s²
Weight on Moon = 23.52 N
Therefore, the girl's mass on the Moon is still 24 kg, but her weight on the Moon is approximately 23.52 Newtons.
To find the mass and weight of the girl on the moon, we use the relationship between weight, mass, and gravity. Weight is a measure of the force of gravity acting on an object, and mass is the amount of matter in an object.
First, let's find the mass of the girl on the moon. We know that the mass of the girl on Earth is 24 kg. The mass of an object remains the same regardless of the location, so her mass on the moon will also be 24 kg.
Next, let's find the weight of the girl on the moon. We know that the moon's gravity is 1/6 of the Earth's gravity. The weight of an object can be calculated by multiplying the mass by the acceleration due to gravity.
On Earth, the acceleration due to gravity is approximately 9.8 m/s². Therefore, the weight of the girl on Earth is:
Weight = mass * acceleration due to gravity
Weight = 24 kg * 9.8 m/s²
Weight = 235.2 N
Since the moon's gravity is 1/6 of the Earth's gravity, the acceleration due to gravity on the moon would be 1/6 * 9.8 m/s² = 1.63 m/s².
Now, we can calculate the weight of the girl on the moon using the same formula:
Weight on the Moon = mass on the Moon * acceleration due to gravity on the Moon
Weight on the Moon = 24 kg * 1.63 m/s²
Weight on the Moon = 39.12 N
Therefore, the mass of the girl on the moon is 24 kg and her weight on the moon is 39.12 N.