A 12.5 cm tall soft drink can has a mass of 17.6 g and contains 364 g of soda wh

Question

A 12.5 cm tall soft drink can has a mass of 17.6 g and contains 364 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

A 12.5 cm tall soft drink can has a mass of 17.6 g and contains 364 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

Explanation / Answer

When half full the centre of mass is at = (17.6 * 6.25 + 182*3.125)/199.6 =3.4 cm from bottom

When 1/10 filled the liquid reached a height - 1.25 cm. the COM is 0.625 cm

the commom CM is (17.6*6.25 + 36.4*0.625)/54=2.45 cm

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