Question

Uranium has a specific gravity of 18.7. (a) What is the weight of a cubic inch? (b)

How large a volume could a man carry if he can lift a load of 200 lb?​

Answer 1

The weight of the Uranium is 3N or 0.66 lbs

The Volume of the Uranium carried is 298.5 cubic inch

Explanation:

Given:

Specific gravity of Uranium = 18.7

Volume of Uranium = 1 cubic inch

To find out:

(a) The weight of Uranium

(b) The volume of Uranium carried by a man who can lift 200 lb load

Solution:

(a) We know that

Specific Gravity of a substance = Density of the substance/Density of the water

Thus,

$18.7=\frac{d}{10^3}$

or, $d=18.7\times 10^3$ kg/m³

Volume of the Uranium = 1 inch³ = (0.0254)³ m³ = $1.64\times 10^{-5}$ m³

Thus, mass of Uranium

$m=V\times d$

$\implies m=1.64\times 10^{-5}\times 18.7\times 10^3$ kg

$\implies m=0.30$ kg

Weight of the Uranium = $0.3\times 9.8=3$ N

(b) Man can lift 200 lb = $200\times 0.45$=90 kg of Uranium

Thus, mass of Uranium m' = 90 kg

Volume of Uranium

$=\frac{m'}{d}$

$=\frac{90}{18.7\times 10^{3}}$

$=4.81\times 10^{-3}$ m³

$=298.46$ cubic inch

Hope this answer is helpful.