An astronaut on earth notes that in her soft drink an ice cube floats with 9/10 of its volume submerged. if she were instead in a lunar module parked on the moon where the gravitation force is 1/6 that of earth, the ice in the same soft drink would float: a) with more than 9/10 submerged. b) with 9/10 submerged. c) with 6/10 submerged. d) totally submerged.

B) with 9/10 submerged

Explanation:

= mass of ice cube

= density of soft drink

= Volume of soft drink displaced

ice cube floats in the soft drink when the force of buoyancy on it balances its weight. Force of buoyancy acting on the cube in upward direction is same as the weight of the soft drink displaced. hence we can write

weight of ice cube = weight of soft drink displaced

we see that the acceleration due to gravity cancel out both side and hence it does affect as astronaut is on earth on in a lunar module.

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