A 12.5 cm tall soft drink can has a mass of 17.0 g and contains 362 g of soda wh

Question

A 12.5 cm tall soft drink can has a mass of 17.0 g and contains 362 g of soda when full. Assuming the can is symmetric, its center of mass is obviously 6.25 cm above its base when full and when empty.

(a) Where is its center of mass when half full?
______ cm above the base
(b) When one-tenth full?
______ cm above the base

4. -12 points OSColPhys19.3.013.XP. My Notes Ask Your Teacher A 12.5 cm tall soft drink can has a mass of 17.0 g and contains 362 g of soda when full. Assuming the can is symmetric, its center of mass is obviously 6.25 cm above its base when full and when empty. (a) Where is its center of mass when half full? cm above the base (b) When one-tenth full? cm above the base Additional Materials Reading

Explanation / Answer

center of gravity is denoted by 'c'

c of the can alone = 12.5/2 = 6.25cm

c of the sode when half full = (12.5/2)/2 = 3.125cm

c of soda when one tenth full = (12.5/10)/2 = 0.625cm

mass of the can is = 17.1gm

mass of the half full soda = 362/2 = 181gm

mass of the one tenth full soda = 362/10 = 36.2gm

c(center of gravity of half full) = {(17.1*6.25) + (181*3.125)}/(17.1+181) = 3.394cm

c(center of gravity of one tenth full) = {(17.1*6.25) + (36.2*0.625)}/(17.1+36.2) = 2.429cm

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