I did a physics experiment, where mass was added to a Ziploc container and then its displacement was measured. I found that there was a linear relationship between these two variable but I need to explain why with laws, rules, and/or other physics equations. Thanks very much!
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its easy..
according to archimedes' principle.. the volume of liquid displaced is equal to that of the volume of immersed object.. so
cross-section area of container*rise in water level = mass added/density of solid..
u know the cross-section area does not changes as well as density of a particular substance is fixed(so these will act as constants)..
hence,
rise in water level = k*mass added, which is a linear relation..
according to archimedes' principle.. the volume of liquid displaced is equal to that of the volume of immersed object.. so
cross-section area of container*rise in water level = mass added/density of solid..
u know the cross-section area does not changes as well as density of a particular substance is fixed(so these will act as constants)..
hence,
rise in water level = k*mass added, which is a linear relation..