Sunken Objects The following diagrams show pictures of blocks of different densi

Question

Sunken Objects The following diagrams show pictures of blocks of different densities that resting at the bottom of a container filled with water. The mass and total volume of each of the blocks is given below each of the diagrams Rank each of the scenarios from least to greatest on the basis of the the magnitude of the buoyant force (Fß) on each of the blocks. (If two are exactly equal then list them alphabetically.) Rank each of the scenarios from least to greatest on the basis of the the magnitude of the NET force on each of the blocks. (If two are exactly equal then list them alphabetically.) Imagine that prior to the block being on the bottom of the container that the block is placed at the surface of the liquid and then released. By inspection, and knowing that the density of water is 1 g/cm , in which of the scenarios above will the block have the greatest acceleration? {If two have the highest acceleration then selcet both.)) What is the value of the block with the greatest acceleration in part c? (Pick up to be positive and down to be negative.)

Explanation / Answer

we know that

Fbouyant=dwater*g*Vblock

where dwater is the density of water, g is the gravity and V is the volume of the block

dwater*g=9810 [kg/m^3]

Fa=192.2 kN

Fb=490.5 kN

Fc=294.3 kN

Fd=98.1 kN

Fe=147.15 KN

Ff=588.6 KN

Least D,E,A,C,B,F Greatest

the force net is definet as the nomal force NET

Net=m*g+dwater*g*V over block

assume that over first block we have 1 m^3

V over block the greatest Vc

then

F net=(D,B,A,F,E,C)

Fnet greatest is C

_____________________________________________________________

a=9.81 [m/s]

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