a spring with a spring constant of 100 nm is stretched 02 m from its equilibrium position what is the potential energy stored in the spring

ATI TEAS 7

TEAS version 7 quizlet science

1. A spring with a spring constant of 100 N/m is stretched 0.2 m from its equilibrium position. What is the potential energy stored in the spring?

A. 2 J
B. 4 J
C. 8 J
D. 20 J

Correct answer: C

Rationale: The potential energy stored in a spring is given by the formula $PE = \frac{1}{2}kx^2$, where $k$ is the spring constant and $x$ is the displacement from the equilibrium position. Substituting the given values, we get $PE = \frac{1}{2} \times 100 \times (0.2)^2 = 8$ J.

2. Which element shares the same group (family) on the periodic table with helium (He)?

A. Neon (Ne)
B. Boron (B)
C. Carbon (C)
D. Oxygen (O)

Correct answer: A

Rationale: Elements within the same group share similar electron configurations in their outermost shells, resulting in comparable chemical properties. Helium and Neon both belong to Group 18 (Noble Gases), explaining their similarities. Boron, Carbon, and Oxygen are not in the same group as Helium on the periodic table. Boron is in Group 13, Carbon is in Group 14, and Oxygen is in Group 16, which are different from Helium's Group 18.

3. Which of the following are examples of positive correlation?

A. As rainfall increases, plant stem length decreases.
B. As rainfall increases, roots show longer length.
C. When plotting a comparison of rainfall to plant length, the line trends to the lower right.
D. When plotting a comparison of rainfall to plant length, the line trends to the upper right.

Correct answer: D

Rationale: The correct answer is D. Positive correlation indicates that as one variable increases, the other variable also increases. In this case, when plotting a comparison of rainfall to plant length, if the line trends to the upper right, it shows a positive correlation where as rainfall increases, plant length also increases. Choices A, B, and C show either no correlation or negative correlation, as they describe scenarios where the variables move in different or opposite directions.

4. If Silicon (Si) has an atomic mass of 28.1 AMU (atomic mass units), which of the following is the most likely number of neutrons an atom of Silicon would have?

A. 28.1
B. 14
C. 28
D. 14.2

Correct answer: B

Rationale: Silicon has an atomic number of 14, indicating it has 14 protons. The atomic mass of 28.1 AMU accounts for both protons and neutrons in the nucleus. By subtracting the atomic number from the atomic mass, we can estimate the number of neutrons in the atom. Thus, 28.1 - 14 = 14 neutrons. Choice A is incorrect as it represents the total atomic mass, not the number of neutrons. Choice C is incorrect; it is the atomic number (protons) rather than the number of neutrons. Choice D is incorrect as it is a value that does not reflect the number of neutrons in the silicon atom.

5. Which organelle in the cell is responsible for protein synthesis?

A. Ribosome
B. Nucleus
C. Mitochondrion
D. Golgi apparatus

Correct answer: A

Rationale: The correct answer is A: Ribosome. Ribosomes are the organelles responsible for protein synthesis in the cell. They are the cellular machinery where translation, the process of assembling proteins from amino acids based on mRNA sequences, occurs. Ribosomes can be found floating freely in the cytoplasm or attached to the endoplasmic reticulum. The nucleus (choice B) houses DNA but is not directly involved in protein synthesis. Mitochondria (choice C) are responsible for energy production through cellular respiration, not protein synthesis. The Golgi apparatus (choice D) is involved in modifying, sorting, and packaging proteins for secretion, not in the synthesis of proteins.