80 joules
Given:
A 2 kg mass is held 4 m above the ground.
Let us write as follows:
Question:
What is the approximate potential energy (PE) due to gravity of the mass with respect to the ground?
The Process:
We will solve the problem of gravitational potential energy.
Gravitational potential energy = mgh, where m represents mass (in kg), g represents Earth's gravitational field (10 N kg⁻¹), and h represents the height change (in m).
Let us find out the approximate potential energy due to the gravity of the mass concerning the ground on the Earth.
Gravitational potential energy = (2 kg)(10 N kg⁻¹)(4 m)
Thus, gravitational potential energy equal to 80 joules.
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Notes:
Answer:
This new element belongs to the group 2.
Explanation:
In the periodic table, the vertical columns are called groups (or families). The elements in the same group share similar chemical and physical properties.
One of these properties is the same amount of outer valence electrons.
For example, in the group 1 the elements have 1 outer valence electron (If we assume that the element is in a neutral state which is without electrical charges).
If this new element has 2 electrons in its outer level it will belong to the group 2. The group 2 is well-known as alkaline earth metals.
For example, the magnesium (Mg) and the calcium (Ca) belong to the group 2.
Let's rank the atoms A (Gold), B (Copper), C (Carbon), and D (Silver) based on:
a. Mass (atomic mass or atomic weight)
b. Number of electrons
c. Number of protons
a. Mass (Atomic Mass or Atomic Weight):
1. Gold (A) has an atomic mass of approximately 196.97 atomic mass units (u).
2. Silver (D) has an atomic mass of approximately 107.87 u.
3. Copper (B) has an atomic mass of approximately 63.55 u.
4. Carbon (C) has an atomic mass of approximately 12.01 u.
Ranking by mass from most to least:
1. Gold (A) - 196.97 u
2. Silver (D) - 107.87 u
3. Copper (B) - 63.55 u
4. Carbon (C) - 12.01 u
b. Number of Electrons:
The number of electrons in an atom is equal to the number of protons, which is also the atomic number.
1. Gold (A) has an atomic number of 79, so it has 79 electrons.
2. Silver (D) has an atomic number of 47, so it has 47 electrons.
3. Copper (B) has an atomic number of 29, so it has 29 electrons.
4. Carbon (C) has an atomic number of 6, so it has 6 electrons.
Ranking by the number of electrons from most to least:
1. Gold (A) - 79 electrons
2. Silver (D) - 47 electrons
3. Copper (B) - 29 electrons
4. Carbon (C) - 6 electrons
c. Number of Protons:
The number of protons in an atom is equal to the atomic number.
1. Gold (A) has an atomic number of 79, so it has 79 protons.
2. Silver (D) has an atomic number of 47, so it has 47 protons.
3. Copper (B) has an atomic number of 29, so it has 29 protons.
4. Carbon (C) has an atomic number of 6, so it has 6 protons.
Ranking by the number of protons (which is the same as the ranking by the number of electrons):
1. Gold (A) - 79 protons
2. Silver (D) - 47 protons
3. Copper (B) - 29 protons
4. Carbon (C) - 6 protons
To rank the given atoms by mass, D. Silver has the most mass, followed by A. Gold, B. Copper, and C. Carbon. For number of electrons, B. Copper has the most, followed by A. Gold, C. Carbon, and D. Silver. For number of protons, B. Copper has the most, followed by A. Gold, D. Silver, and C. Carbon.
To rank the given atoms based on their mass, we can refer to the atomic mass or atomic weight of each element. The atomic mass of an element is the sum of the number of protons and neutrons in the nucleus. The element with the highest atomic mass will have the most mass. In this case, the ordering would be D. Silver, A. Gold, B. Copper, and C. Carbon.
To rank the atoms based on the number of electrons, we can refer to the atomic number of each element. The atomic number represents the number of protons, which is equal to the number of electrons in a neutral atom. The element with the highest atomic number will have the most electrons. In this case, the ordering would be B. Copper, A. Gold, C. Carbon, and D. Silver.
To rank the atoms based on the number of protons, we can again refer to the atomic number of each element. The atomic number represents the number of protons in the nucleus. The element with the highest atomic number will have the most protons. In this case, the ordering would be B. Copper, A. Gold, D. Silver, and C. Carbon.
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c. energy; application
b. knowledge; effort
d. labor; knowledge
The five factors of production are land, labor, capital, entrepreneurship, and knowledge. These are the resources necessary for the production of goods and services. Each factor represents a different type of resource used in the production process.
The five factors of production include land, labor, capital, entrepreneurship, and knowledge. These are the resources used in the creation of goods and services. Land refers to all natural resources used to produce goods and services, Labor is the effort people contribute to the production of goods and services, Capital includes all the resources made and used by people to produce and distribute goods and services, Entrepreneurship is the willingness and ability to take the risks involved in starting and managing a business, and Knowledge is the understanding and skills that people acquire through education, training and experience.
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