Answer:
1:- The upthrust on the solid:- 0.013N
2:- Volume of the solid:- 1.3 Kg/density
3) Density:- 46.15 Kg/m^3
Step-by-step explanation:
1) The upthrust on the solid is equal to the weight of the water displaced by the solid, which is given by Archimedes' principle. Therefore, we can calculate the upthrust using the formula:
Upthrust = Weight of water displaced = Volume of water displaced x Density of water x Gravity
Since the solid is completely submerged in water, the volume of water displaced is equal to the volume of the solid.
Thus:
Upthrust = Volume of solid x Density of water x Gravity
Upthrust = (1.3 kg / 1000 kg/m^3) x 10 m/s^2
Upthrust = 0.013 N
2) We can use the formula for density to calculate the volume of the solid, which is given by:
Density = Mass / Volume
Rearranging the formula:
Volume = Mass / Density
Volume = 1.3 kg / Density
We know from part (i)
that the upthrust on the solid is equal to the weight of the water displaced, which means that the solid is in equilibrium (i.e., the forces acting on it are balanced).
Therefore:
Weight of the solid = Tension in the string
Weight of the solid = Mass x Gravity
Mass = Weight of the solid / Gravity
Mass = 6.0 N / 10 m/s^2
Mass = 0.6 kg
Substituting the values for mass and density, we get:
Volume = 0.6 kg / Density
0.013 m^3 = 0.6 kg / Density
Density = 0.6 kg / 0.013 m^3
Density = 46.15 kg/m^3.