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
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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?

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 law of motion explains the behavior of rockets in space?

Correct answer: C

Rationale: The correct answer is Newton's Third Law. Newton's Third Law states that for every action, there is an equal and opposite reaction. In the case of rockets in space, the action is the expulsion of gas from the rocket engines, and the reaction is the forward motion of the rocket. This law explains how rockets are able to propel themselves forward in the vacuum of space. Choices A and B are incorrect because Newton's First Law (inertia) and Second Law (F=ma) do not directly explain the behavior of rockets in space. Choice D is incorrect as Newton's Third Law specifically addresses the principle behind rockets' motion in space.

3. In which units is the speed of light in a vacuum measured?

Correct answer: A

Rationale: The speed of light in a vacuum is commonly measured in units of meters per second. This is because the speed of light is approximately 299,792,458 meters per second in a vacuum, as defined by the International System of Units (SI). The speed of light is a measure of distance covered by light in a given time, hence it is expressed in meters per second. Choices B, C, and D are incorrect. Hertz is a unit of frequency, Candela is a unit of luminous intensity, and Newton is a unit of force. None of these units are relevant for measuring the speed of light, making 'Meters per second' the correct unit of measurement for the speed of light.

4. Which type of fiber is insoluble and promotes gut motility?

Correct answer: B

Rationale: A) Pectin is a soluble fiber found in fruits and vegetables. It forms a gel-like substance in the gut and can help lower cholesterol levels. B) Cellulose is an insoluble fiber found in plants, particularly in the cell walls of fruits, vegetables, and whole grains. It adds bulk to the stool and promotes gut motility by aiding in the movement of food through the digestive system. C) Beta-glucan is a soluble fiber found in oats and barley. It can help lower cholesterol levels and improve blood sugar control. D) Guar gum is a soluble fiber derived from guar beans. It can help with digestion and may have a role in managing blood sugar levels. In this case, the question specifically asks for the type of fiber that is insoluble and promotes gut motility, which is characteristic of cellulose.

5. The largest level of ecological organization is a:

Correct answer: D

Rationale: A) Population: A population consists of individuals of the same species living in the same area. It is a smaller level of ecological organization compared to a biome. B) Community: A community consists of populations of different species living and interacting in the same area. It is a larger level of organization than a population but smaller than an ecosystem or biome. C) Ecosystem: An ecosystem includes all living organisms (biotic factors) and their physical environment (abiotic factors) interacting in a particular area. It is a larger level of organization than a community but smaller than a biome. D) Biome: The correct answer is D - Biome. A biome is the largest level of ecological organization and encompasses a large geographic area characterized by a specific climate, vegetation, and animal life. Biomes can be found on multiple continents and are defined by similar abiotic and biotic factors. Therefore, it is the largest level of ecological organization among the options provided, making it the correct answer.

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