I was working on a random q-bank question (dunno if it's EK or TBR or what) about a solid floating in water on Earth versus the moon.
The solid is floating with 8/10 of the solid submerged in the water. On the moon, how much is submerged (gravitational force less on the moon)?
more than 8/10
less than 8/10
same (8/10)
I was torn because of two different equations:
1) This equation I saw on SDN, SG= Weight/Buoyant Force
If I am not mistaken, 8/10 submerged is the same as saying a SG of 0.8
So I thought, well according to the equation, if we decrease the accel. due to gravity then we decrease the weight which decreases the SG so the answer should be less than 8/10
2) When an object floats, Buoyant Force = Weight
d x V x g = m x g
Gravity cancels out and thus gravity should have no affect on the amount of the solid submerged.
Well, I went with equation 1 and thought the SG should decrease which is WRONG.
Any thoughts to why I am off with my thinking using equation 1?
The solid is floating with 8/10 of the solid submerged in the water. On the moon, how much is submerged (gravitational force less on the moon)?
more than 8/10
less than 8/10
same (8/10)
I was torn because of two different equations:
1) This equation I saw on SDN, SG= Weight/Buoyant Force
If I am not mistaken, 8/10 submerged is the same as saying a SG of 0.8
So I thought, well according to the equation, if we decrease the accel. due to gravity then we decrease the weight which decreases the SG so the answer should be less than 8/10
2) When an object floats, Buoyant Force = Weight
d x V x g = m x g
Gravity cancels out and thus gravity should have no affect on the amount of the solid submerged.
Well, I went with equation 1 and thought the SG should decrease which is WRONG.
Any thoughts to why I am off with my thinking using equation 1?