A cube of wood supporting 200gm mass just floats in water. When the mass is removed, the cube rises by 2cm. What is the size of the cube?
Text Solution
AI Generated Solution
To solve the problem step by step, we will analyze the situation involving the cube of wood floating in water and the effects of removing the mass.
### Step 1: Understand the initial condition
The cube of wood is floating in water with a 200 gm mass on top. This means that the buoyant force acting on the cube is equal to the total weight of the cube and the mass.
**Hint:** The buoyant force is equal to the weight of the fluid displaced by the submerged part of the cube.
### Step 2: Set up the initial equation
...
A wooden cube floating in water supports a mass 0.2 kg on its top. When the mass is removed the cube rises by 2cm. What is the side legnth of the cube ? Density of water = 10^3 kg//m^3
A wooden cube just floats inside water when a 200 gm mass is placed on it. When the mass is removed, the cube is 2 cm above the water level. The size of the cube is
The surface area of a cube is 150 cm ^(2) Find : the volume of the cube :
A cube of density 250 kg/ m^2 floats in water, then what part of total volume of the cube outside the water?
The total surface area of a cube is 96 cm^(2) . The volume of the cube is
A cube is inscribed in a sphere of diameter 'd' cm. What is the side of the largest cube so inscribed?
A cubical block of wood of edge a and density rho floats in water of density 2rho . The lower surface of the cube just touches the free end of a mass less spring of force constant K fixed at the bottom of the vessel. The weight W put over the block so that it is completely immersed in water without wetting the weight is
The surface area of a cube is 294 cm^(2) . Find : volume of the cube :
A piece of wood is floating in water. When the temperature of water rises, the apparent weight of the wood will
The square on the diagonal of a cube has an area of 192 cm ^(2) Calculate : the side of the cube.