Please Help! Physic question

label Physics
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The density of gold is 19 times that of water. If you take a gold crown weighing 20 N and submerge it in water, how much upward force must you exert on the submerged crown to keep it from accelerating? How much upward force must you exert on the submerged crown to keep it from accelerating whether the crown was gold-plated copper? (The density of copper is nine times that of water.)

May 4th, 2015

The buoyance force on the crown = the weight of the water of the same volume 
= d (water) (volume) g 
= (1/19) d (gold) (volume) g 

Since d(gold) (volume) g = weight of the crown = 20N,  buoyance force = 20/19

Therefore the upward force must you exert on the submerged crown to keep it from accelerating= weight of crown - buoyance force = 20-20/19 = 18.94N


 upward force must you exert on the submerged crown to keep it from accelerating whether the crown was gold-plated copper= 20(9/19)= 9.47N




May 4th, 2015

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