A body weighs 12 N on the surface of the moon. What is its weight on t...
On moon the weight of an object is only 1/6th of that on Earth.
If the weight of an object on the surface of the moon is 12N then the weight of that object on Earth will be 6 times greater tgan that on moon.
That is 12×6=72N
A body weighs 12 N on the surface of the moon. What is its weight on t...
The weight of an object is the force with which it is pulled towards the center of the Earth by gravity. On the surface of the moon, the gravitational force is much weaker compared to Earth, resulting in a lower weight for the same object. Let's calculate the weight of the body on the surface of the Earth.
Gravitational Force on the Moon:
- The gravitational force on the moon is approximately 1/6th of the gravitational force on Earth.
- Therefore, if the body weighs 12 N on the moon, the gravitational force acting on it on the moon would be 12 N.
Weight Calculation on Earth:
- The weight of an object on Earth can be calculated using the equation:
Weight = mass × gravitational acceleration
- The gravitational acceleration on Earth is approximately 9.8 m/s².
- To find the mass of the body, we can use the equation:
Weight = mass × gravitational acceleration
12 N = mass × 9.8 m/s²
- Solving this equation, we find that the mass of the body is approximately 1.22 kg.
Weight on the Surface of Earth:
- Now that we know the mass of the body, we can calculate its weight on the surface of the Earth using the same equation:
Weight = mass × gravitational acceleration
Weight = 1.22 kg × 9.8 m/s²
Weight ≈ 11.96 N
- Therefore, the weight of the body on the surface of the Earth is approximately 11.96 Newtons.
Summary:
- The weight of an object on the surface of the moon is much lower compared to its weight on Earth due to the weaker gravitational force.
- In this case, if the body weighs 12 N on the moon, its weight on the surface of the Earth would be approximately 11.96 N.
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