a 5 kg block is suspended from a spring causing the spring to stretch 10 cm from equilibrium what is the spring constant for this spring
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HESI A2

HESI Exams Quizlet Physics

1. A 5-kg block is suspended from a spring, causing the spring to stretch 10 cm from equilibrium. What is the spring constant for this spring?

Correct answer: C

Rationale: The spring constant (k) can be calculated using Hooke's Law formula: F = -kx, where F is the force applied, k is the spring constant, and x is the displacement from equilibrium. In this case, the force applied is equal to the weight of the block, F = mg, where m = mass of the block = 5 kg and g = acceleration due to gravity = 9.8 m/s^2. The displacement x = 10 cm = 0.1 m. Substituting the values, we have: 5 kg * 9.8 m/s^2 = k * 0.1 m. Solving for k gives k = 5 * 9.8 / 0.1 = 49 N/m. Therefore, the spring constant for this spring is 49 N/cm. Choice A (4.9 N/cm) is incorrect because it is one decimal place lower than the correct answer. Choice B (9.8 N/cm) is incorrect as it does not account for the correct calculation based on the given information. Choice D (50 N/cm) is incorrect because it is slightly higher than the accurate value obtained through the calculations.

2. Which substance has a pH value greater than 7?

Correct answer: D

Rationale: The correct answer is D, Baking soda. Baking soda has a pH greater than 7, making it basic. pH values above 7 indicate alkalinity, and baking soda, being a base, has a pH higher than 7. Water, vinegar, and lemon juice have pH values below 7, indicating acidity. Water is neutral with a pH of 7, while vinegar and lemon juice are acidic with pH values lower than 7.

3. What does the passage about the Water Cycle explain?

Correct answer: A

Rationale: The correct answer is A: 'The water cycle consists of precipitation, evaporation, and condensation.' The passage explains the stages of the water cycle, starting with precipitation (rain, snow, sleet, or hail) falling to the ground, followed by runoff, evaporation transforming liquid water into water vapor, and finally condensation turning water vapor back into liquid. Choice B is incorrect because it is too broad and doesn't specifically address the stages of the water cycle. Choice C is incorrect as rain is just one part of the water cycle and not the most important. Choice D is incorrect as evaporation is not the final step but one of the stages of the water cycle.

4. What is the role of the mitochondria in the cell?

Correct answer: B

Rationale: The correct answer is B: Energy production. Mitochondria are known as the powerhouses of the cell because they generate adenosine triphosphate (ATP) through the process of cellular respiration. ATP is a molecule that stores and releases energy, providing the cell with the necessary energy for various activities and functions. Choices A, C, and D are incorrect. Protein synthesis primarily occurs in the ribosomes, breaking down waste is mainly carried out by lysosomes, and cell division is orchestrated by the nucleus and other organelles like the centrioles.

5. Add 2\3 + 1\6 + 2\5.

Correct answer: A

Rationale: To add fractions, find a common denominator (30), which gives 20/30 + 5/30 + 12/30=37/30= 1 7/30

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