A plastic flaots in water with o.5N of it volume submerged and floats in oil with o.4N.( Density of water ==1000kg/m^3)

Answer 1

To solve this problem, we need to use the concept of buoyancy force and the density of the fluid in which the object is floating.

Let's start by calculating the buoyancy force in water:

Buoyancy force in water = weight of the water displaced
Buoyancy force in water = density of water x volume submerged x gravity
Buoyancy force in water = 1000 kg/m^3 x 0.5N x 9.8 m/s^2
Buoyancy force in water = 4900 N

Next, let's calculate the weight of the object in water:

Weight of the object in water = 0.5N

Since the object is floating, the buoyancy force in water must be equal to the weight of the object in water:

4900 N = 0.5 N

Now, let's calculate the volume of the object:

Volume = weight/density of the object
For water:
Volume = 0.5N / 1000 kg/m^3
Volume = 0.0005 m^3

Now, let's calculate the buoyancy force in oil:

Buoyancy force in oil = density of oil x volume submerged x gravity
Buoyancy force in oil = density of oil x 0.4N x 9.8 m/s^2

Since the object is floating in oil, the buoyancy force in oil must be equal to the weight of the object in oil:

Buoyancy force in oil = weight of the object in oil
Density of oil x 0.4N x 9.8 m/s^2 = weight of the object in oil

We don't have the density of oil provided in the problem, so we cannot calculate the weight of the object in oil without this information.