Answer:
The most common of these is carbon 12, 13, 14. All of these isotopes have the same atomic number but different mass numbers. Carbon has the atomic number of 6 which means that all isotopes have the same proton number. However, the number of neutrons is different, thus giving different mass numbers.
Answer:
a) I = 1,75 10-² kg m² and b) I = 1.49 10⁻² kg m²
Explanation:
The expression for the moment of inertia is
I = ∫ r² dm
The moment of inertia is a scalar by which an additive magnitude, we can add the moments of inertia of each part of the system, taking into account the axis of rotation.
I = I core + I shell
The moment of inertia of a solid sphere is
I sphere = 2/5 MR²
The moment of inertia of a thin spherical shell is
I shell = 2/3 M R²
a) Let's apply to our system, first to the core of weight 1.6 kg and diameter 0.196m, the radius is half the diameter
R = d / 2
R= 0.196 m / 2 = 0.098 m
I core = 2/5 1.6 0.098²
I core = 6.147 10-3 kg m²
Let's calculate the moment of inertia of the shell of mass 1.6 kg with a diameter of 0.206 m
R = 0.206 / 2
R = 0.103 m
I shell = 2/3 1.6 0.103²
I shell = 1,132 10-2 kg m²
The moment of inertia of the ball is the sum of these moments of inertia,
I = I core + I shell
I = 6,147 10⁻³ + 1,132 10⁻² = 6,147 10⁻³ + 11.32 10⁻³
I = 17.47 10⁻³ kg m²
I = 1,747 10-² kg m²
b) Now the ball is report with mass 3.2kg and diameter 0.216 m
R = 0.216 / 2
R = 0.108 m
It is a uniform sphere
I = 2/5 M R²
I = 2/5 3.2 0.108²
I = 1.49 10⁻² kg m²
1) The correct answer is
<span>C) The particles are not able to move out of their positions relative to one another, but do have small vibrational movements.
In solids, in fact, particles are bound together so they cannot move freely. However, they can move around their fixed position with small vibrational movements, whose intensity depends on the temperature of the substance (the higher the temperature, the more intense the vibrations). For this reason, we say that matter moves also in solid state.
2) The correct answer is
</span><span>A) increase the concentration of both solutions
In fact, when we increase the concentration of both solutions, we increase the number of particles that react in both solutions; as a result, the speed of the reaction will increase.
3) The correct answer is
</span><span>C) gas → liquid → solid
In gases, in fact, particles are basically free to move, so the intermolecular forces of attraction are almost negligible. In liquids, particles are still able to move, however the intermolecular forces of attraction are stronger than in gases. Finally, in solids, particles are bound together, so they are not free to move and the intermolecular forces of attraction are very strong. </span>
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