D. similar number of nuetrons
It is given that the surface area of sphere is 4 π r² and its volume is (4/3 π r³)
With a diameter of 1.2 mm you have a radius of 0.6 mm so the surface area about 4.5 mm² and the volume is about 0.9 mm³
The total surface energy of the original droplet is (4.5 x 10⁻⁶ m x 72) = 3.24 x 10⁻⁴mJ
The five smaller droplets need to have the same volume as the original so:
5 V = 0.9 mm³ so the volume of smaller sphere will equal 0.18 mm³
Since this smaller volume still have volume (4/3 π r³) so r = 0.35 mm
Each of the smaller droplets has a surface are = 1.54 mm²
The surface energy of the 5 smaller droplet is then (5 x 1.54 x 10⁻⁶ m x 72) = 5.54 x 10⁻⁴ mJ
From this radius the surface energy of all smaller droplets is 5.54 x 10⁻⁴ and the difference in energy is (5.54 x 10⁻⁴) - (3.24 x 10⁻⁴) = 2.3 x 10⁻⁴ mJ
Therefore we need about 2.3 x 10⁻⁴ mJ of energy to change a spherical droplet of water of diameter 1.2 mm into 5 identical smaller droplets
When struck, the mineral is tested for lattice type. Depending on how it shatters, scientists can determine how the mineral forms on the atomic level by noting the molecular weaknesses of the system. These weaknesses are the points at which the mineral breaks along.
Depending on the type of hammer, they could also be testing the tensile strength and, even possibly, the hardness, depending on the angle of the blow. How hard the rock can be hit without breaking is the TS, and whether or not the mineral is scratched by the hammer is the hardness.
Answer:
refining petroleum, treating metals, producing fertilizer, and processing foods.
