The critical mass can be decreased to 16 kg if the alloy is surrounded by a layer of natural uranium (which acts as a neutron reflector). What is the volume of such smaller mass? Compare your answers to the approximate volumes of a baseball, a volleyball, and a basketball.

The question is not complete and the first part missing is;

A particular uranium alloy has a density of 18.75 g/cm³. Please answer the following questions below, providing the explanation to your answers.

a. What volume is occupied by a critical mass of 49 kg of this alloy?

A) 2610 cm³

B) Mbase < Ma < Mv < Mbask

Explanation:

a) density of uranium alloy = 18.75 g/cm³ = 18750 kg/m³

Mass (m) = 16kg

We know that;

volume = mass / density

Thus, volume = 49kg / 18750kg/m³ = 2.61 x 10^(-3) m³ = 2610 cm³

b) Mass is now reduced to 16kg instead of 49kg. Thus,

Volume = 16/18750 = 0.000853 m³ or 853 cm³

From research, the diameters of baseball, volleyball and basketball are;

Baseball = 7.5 cm

Volleyball = 21.3 cm

Basketball = 24.26cm

baseball:

Since diameter is about 7.5 cm

then V = πd³/6 = π(7.5³)/6 = 220.89 cm³

volleyball: diameter is around 21.3 cm³, then V =π(21.3³)/6 = 5059.86 cm³

basketball: diameter around 24.26, then V =π(25³)/6 = 8181.23 cm³

Lets call the Volume of Alloy Ma while Mass of Baseball is Mbase

Mass of volleyball is Mv while mass of basketball is Mbask.

So comparing the volumes, we have;

Mbase < Ma < Mv < Mbask

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: