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Answer :
The maximum weight that can be put on the is 87.5 kg
How is it so?
Density:
The formula for density is d = M/V, where d is density, M is mass, and V is volume. Density is commonly expressed in units of grams per cubic centimetre.
Given volume and density so by using the above formula, mass will be calculated. i.e. Mass = Volume × Density
Calculation:
Given, Side of the cubical block = 0.5 m
Density of water = 103 kg/m³
We know that, Density = Mass/Volume
Mass = Volume × Density
When a body floats then the weight of the body = up thrust
As a result, [tex](50) ^ 3 * 30/100 * (1) * g =M_cube g ----(1)[/tex]
Let m mass should be placed, then
[tex]50 ^ 3 \times (1) \times g = (M_cube +m)g ----(2)[/tex]
Subtracting equation (i) from equation (ii),
[tex]((50)^ 3 *(1)* g)) - ((50) ^ 3 * 30/100 * (1) * g) = M_cube g + m)g - M_cube g[/tex]
[tex](50) ^ 3 * g - ((50) ^ 3 * 0.3g) = M_cube g + mg - M_cube g[/tex]
[tex]\Rightarrow mg = (50) ^ 3 * g(1 - 0.3)[/tex]
[tex]Mg = 125 * 10 ^ 3 * 0.7g[/tex]
[tex]\Rightarrow m = 87.5kg[/tex]
Therefore, the maximum weight that can be put on the is 87.5 kg
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