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. The test was ridiculously easy, and the entire class got every question right. Which of the following parts of speech is 'ridiculously' as used in the sentence above?

Correct answer: D

Rationale: 'Ridiculously' is an adverb in this sentence, modifying the adjective 'easy.' Adverbs typically modify adjectives, verbs, or other adverbs. In this case, 'ridiculously' is describing the adjective 'easy,' indicating the degree or manner of the adjective. Choices A, B, and C are incorrect. 'Ridiculously' is not a verb (choice A) as it is not expressing an action or state. It is not an interjection (choice B) since it is not an abrupt exclamation. Also, it is not an adjective (choice C) as it is not directly modifying a noun or pronoun.

4. Raoul has an upcoming school project, and his own computer is not working. He needs to use the library computer, and he has estimated that he will need to be on the computer for approximately an hour and a half. How much of a fee can Raoul expect to pay for his computer use at the library?

Correct answer: C

Rationale: Raoul needs to use the computer for 90 minutes. The first 30 minutes are free, so he would pay for the remaining 60 minutes, which is 4 intervals of 15 minutes each. Each 15-minute period incurs a $3 charge, so for 60 minutes, Raoul would pay 4 x $3 = $12. Therefore, Raoul can expect to pay $12 for his computer use at the library. Choices A, B, and D are incorrect as they do not reflect the correct calculation based on the provided information.

5. What type of sentence is the sentence above?

Correct answer: B

Rationale: The sentence above is a complex sentence because it contains an independent clause 'You are a helpful assistant' and a dependent clause 'What type of sentence is the sentence above?'. A complex sentence is formed by joining an independent clause with one or more dependent clauses. In this case, the dependent clause 'What type of sentence is the sentence above?' cannot stand alone as a complete sentence. Choices A, C, and D are incorrect because the sentence does not contain multiple independent clauses (compound) or a combination of independent and dependent clauses (compound-complex).

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