Weight of metal ball in air is 96N. when it immersed in water then its apparent weight is 72N. What is density of metal?

To find the density of the metal, we can use the concept of buoyancy. Buoyancy is the upward force exerted by a fluid on an object immersed in it. This force is equal to the weight of the fluid displaced by the object.

In this case, when the metal ball is in air, its weight is 96N. This is equal to the force of gravity acting on the ball.

When the ball is immersed in water, it experiences an apparent weight of 72N. This apparent weight is less than its weight in air because it is partially supported by the buoyant force exerted by the water.

To calculate the density of the metal, we need to know the density of water. The density of water is approximately 1000 kg/m^3.

Using the principle of buoyancy, we can calculate the volume of water displaced by the metal ball. The volume of water displaced is equal to the volume of the ball.

The weight of the displaced water (buoyant force) can be calculated using the formula:
Buoyant force = weight of displaced water = density of water x volume of water displaced x gravitational acceleration

Since the metal ball experiences an apparent weight of 72N, the buoyant force is equal to the difference between its weight in air and its apparent weight in water, which is 96N - 72N = 24N.

Substituting the values into the equation, we have:
24N = 1000 kg/m^3 x volume of water displaced x 9.8 m/s^2

Simplifying the equation gives us:
24N = 9800 kg/m^3 x volume of water displaced

Now, solving for the volume of water displaced:
volume of water displaced = 24N / 9800 kg/m^3 = 0.00245 m^3

Since the volume of water displaced is equal to the volume of the metal ball, we can calculate its density using the formula:
density = mass / volume

However, we do not have the mass of the metal ball provided in the question. Therefore, we cannot directly calculate the density of the metal.

F. is force W. is weight

F boyent + W imersed= W in air.
Fb=Wa-Wi. Fb = density of water*g*volume. Wa=m*g
1.V=Fb/dens.water*g .
2. m=Wa/g
3. Density of object= m 2./V 1.