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Fudgin [204]
3 years ago
10

Compare the percent change in angular momentum of the system to the percent change in the rotational kinetic energy of the syste

m. Explain the difference between these two values.
Physics
1 answer:
Lapatulllka [165]3 years ago
8 0

Answer:

change in the angular momentum gives a greater change in the kinetic energy since it has a quadratic dependence with the angular velocity

Explanation:

Let's write the definition of angular momentum

         L = I w

the kinetic energy is

         K = ½ I w²

         

         w = L / I

we substitute

       K = ½ I L² / I²

       K = L² / 2I

      K / L = w / 2

     

therefore a change in the angular momentum gives a greater change in the kinetic energy since it has a quadratic dependence with the angular velocity

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3 years ago
The diameter of a copper atom is approximately 2.28e-10 m. The massof one mole of copper is 64 grams. Assume that the atoms area
KIM [24]

1) Mass of one copper atom: 1.063\cdot 10^{-22} kg

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Explanation:

1)

We are told here that the mass of one mole of copper is

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We also know that the number of atoms inside 1 mole of substance is equal to Avogadro number:

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This means that N_A atoms of copper have a mass of M = 64 g. Therefore, we can find the mass of one copper atom by dividing the total mass by the avogadro number:

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2)

We are told that the diameter of a copper atom is

d=2.28\cdot 10^{-10} m

We can assume that the atoms are arranged in a cube, and that they are all attached to each other; so the side of the cube can be written as size of one atom multiplied by the number of atom per side:

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We find N:

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This is the number of atom rows per side; therefore, the total number of atoms in the cube is

N^3=(2.11\cdot 10^8)^3=9.33\cdot 10^{24}

3)

The total mass of the cubical block of copper will be given by the mass of one atom of copper multiplied by the total number of atoms, so:

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where:

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m=1.063\cdot 10^{-22} kg is the mass of one atom

Therefore, substituting, we find:

M=(9.33\cdot 10^{24})(1.063\cdot 10^{-22})=992 kg

So, the mass of the cubical block is 992 kg.

Learn more about mass and density:

brainly.com/question/5055270

brainly.com/question/8441651

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