Answer:
The tension in the rope is 20 N
Solution:
As per the question:
Mass of the object, M = 2 kg
Density of water, [tex]\rho_{w} = 1000\ kg/m^{3}[/tex]
Density of the object, [tex]\rho_{ob} = 500\kg/m^{3}[/tex]
Acceleration due to gravity, g = [tex]10\ m/s^{2}[/tex]
Now,
From the fig.1:
'N' represents the Bouyant force and T represents tension in the rope.
Suppose, the volume of the block be V:
V = [tex]\frac{M}{\rho_{ob}}[/tex] (1)
Also, we know that Bouyant force is given by:
[tex]N = \rho_{w}Vg[/tex]
Using eqn (1):
[tex]N = \rho_{w}\frac{M}{\rho_{ob}}g[/tex]
[tex]N = 1000\frac{2}{500}\times 10 = 40\ N[/tex]
From the fig.1:
N = Mg + T
40 = 2(10) + T
T = 40 - 20 = 20 N
[tex]N = \rho_{w}Vg[/tex]
