Question

The little lion is playing in a pool, in the new york city coast, with a (closed) cube of edge s and density homogeneous ρc. If you fully submerge the block, as the figure shows, such that your center of mass is at a depth H. Find:

a) The mass of the block.

b) The net force on the upper face and on the face
bottom of the block.

c) The thrust that the block experiences.

d) The apparent weight of the block for the child.

e) If the child drops the block, with what acceleration
falls to the bottom of the pool?

Answer 1

ca) Cube density edge is "S" le is Volume of of cube 3 s Mass = Volume x densitry S² x Pe s3 lo m = (b) ICH-se) (Pt+s /) H - S 2 CM The cube is homogeneous. So, the Center of mass is at the middle point of the cube. Top tau is at depth (H-5/2) and the bottom

face is at depth depth (H+ 5/2) as shown in the figure above. Foru on top face Ftop Pressure X Area (H-S- I lgx s² -D Ftop foru face om the bottom Fbottom (H + şe9xs2 را Net thrust (in the up werra direction, Foottom - Ftop (H+ - H+) egs? segs? 2 cam g²eg (e is the densitry of water)

(d) The aparent weight of the Cube will be Apparent weight (Actual weight of the cube upward thrust) s3pg s3g (Pe-e) sileg e) "a" is the auelirtion Net form fal ma ma =D so le a s3g (le-e) s3g (le-e) (-) ta g (1-K) a 11 a =