Let the volume of the block be Vcm3 = 8 and its density be dcm−3
So the weight of the block =Vdg dyne, where g is the acceleration due to gravity =980cms−2
The block floats in liquid of density 1 gcm−3 with 2/3rd of its volume submerged.So the upward buoyant force acting on the block is the weight of displaced liquid=2/3 V×1×g dyne.
Hence by condition of floatation
V×d×g=2/3×V×1×g
⇒d=0.667 gcm-3,
Let the amount of mass required be m.
mg= 1/3 V x 1 x g
m= 2.667 gm
A 2 cm block floats with 1/3 of its volume above the water. Find the density...
A cube of wood 20cm on each side floats in water so that 7cm is above the surface of the water and 13cm is below. a)What is the density of the wood? ( You must justify your answer) b) How much force would have to be exerted on the wood to submerge it? c) what volume of lead mass has to be placed on top of the block of wood so that it will just be totally submerged? d)Suppose a...
A block of a plastic material floats in water with 45.9% of its volume under water. What is the density of the block in kg/m3?
A block of wood of mass 2kg floats in water, and it is noted that volume is 3/4 is submerged. density of water 1000 kg/m3. a) What is the buoyant force of the block? hint: V is volume and g is 9.81 m/s2. b) What is the density of the block?
A 10 cm cubical block of wood floats at the interface between oil and water with its lower surface 1.5 cm below the interface. The density of the oil is 900 kg m 3 . The oil layer and the water layer are both 10 cm tall. a. What is the gauge pressure at the upper face of the block? b. What is the gauge pressure at the lower face of the block? c. What are the mass and density...
A wooden block of volume 5.26 times 10^-4 m^3 floats in water, and a small steel object of mass m is placed on top of the block. When m = 0.400 kg, the system is in equilibrium and the top of the wooden block is at the level of the water. (Take the density of steel to be 8 g/cm^3.) (a) What is the density of the wood? kg/m^3 (b) What happens to the block when the steel object is...
BOUYANCY A wooden block with density 650kg/m3 floats in water. What is the maximum mass that can be added to the top of the block so that the block is just submerged at the water surface? (aj (a) The added mass is 0.35 times the mass of the block. (1) (b) The added mass is 0.65 times the mass of the block. (c) (c) The added mass is 0.35 times the mass of the volume of water displaced by the...
A cubical block of wood, 11.0 cm on a side, floats at the interface between oil and water with its lower surface 2.40cm below the interface (the figure (Figure 1)). The density of the oil is 790 kg/m3. What is the mass of the block? What is the density of the block?
Density 1. In your attic, you find a box with a sma piece to the lab. Its mass is 217g. initial volume of water in the cyl Dox with a small piece of a silvery metal in it. You take this metal ao. Its mass is 217g. It has an irregular shape and fits into a gradated cylinder. olume of water in the cylinder is 20.5 mL and the water level rises to 39.8 m this metal's density? Specific gravity?...
Multiple choices BOUYANCY A wooden block with density 650kg/m3 floats in water. What is the maximum mass that can be added to the top of the block so that the block Is Just submerged at the water surface? (a (a) The added mass is 0.35 times the mass of the block. (b) (b) The added mass is 0.65 times the mass of the block. 1o) (c) The added mass is 0.35 times the mass of the volume of water displaced...
A cubical block of wood, 10.7 cm on a side, floats at the interface between oil and water with its lower surface 2.10 cm below the interface (the figure ). The densityof the oil is 790 kg/m^3.a) What is the gauge pressure at the upper face of the block?? Pab)What is the gauge pressure at the lower face of the block?? Pac)What is the mass of the block?? kgd)What is the density of the block?? kg/m^3