Acceleration due to gravity on the moon's surface is 1/6th that on the earth . An object weight 900N on the earth . What does it weight on the moon ?
on the Earth
W= mg
on the Moon
W₁=mg₁=mg/6 =9=W/6 =900/6 =150 N
Thank you
To find the weight of the object on the moon, we can use the formula:
Weight = Mass × Acceleration due to Gravity
Given that the acceleration due to gravity on the moon's surface is 1/6th that on Earth, we can say the acceleration due to gravity on the moon is:
Acceleration on Moon = (1/6) × Acceleration on Earth
We know the weight of the object on Earth is 900 N. Since weight is mass multiplied by acceleration due to gravity, we can rearrange the formula to solve for the mass:
Mass = Weight / Acceleration due to Gravity
Substituting the values, we get:
Mass on Earth = 900 N / Acceleration on Earth
Now, we can calculate the weight on the moon:
Weight on Moon = Mass on Earth × Acceleration on Moon
Substituting the values, we get:
Weight on Moon = (900 N / Acceleration on Earth) × (Acceleration on Moon)
Since Acceleration on Earth and Acceleration on Moon are inversely proportional (one is 1/6th of the other), the formula can be simplified to:
Weight on Moon = (900 N / Acceleration on Earth) × (1/6)
Now, let's calculate the weight on the moon:
Weight on Moon = (900 N / Acceleration on Earth) × (1/6)
Weight on Moon = (900 N / 9.8 m/s²) × (1/6)
Weight on Moon ≈ 91.8 N
Therefore, the object would weigh approximately 91.8 N on the moon.