an object with a charge of 3 c is placed 30 cm from another object with a charge of 2 c what is the magnitude of the resulting force between the objec
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HESI A2

HESI A2 Physics Practice Test

1. An object with a charge of 3 μC is placed 30 cm from another object with a charge of 2 μC. What is the magnitude of the resulting force between the objects?

Correct answer: B

Rationale: To find the magnitude of the resulting force between two charges, we use Coulomb's Law: F = k × (|q1 × q2|) / r² Where: F is the force k is Coulomb’s constant (8.99 × 10⁹ N·m²/C²) q1 and q2 are the charges r is the distance between the charges Plugging in the values: F = (8.99 × 10⁹) × (3 × 10⁻⁶) × (2 × 10⁻⁶) / (0.3)² = 0.18 N. Therefore, the magnitude of the resulting force is 0.18 N.

2. Roger's car gets an average of 25 miles per gallon. If his gas tank holds 16 gallons, how far can he drive on a full tank?

Correct answer: C

Rationale: To calculate the distance Roger can drive on a full tank, multiply the number of gallons in his tank by the average miles per gallon his car gets. 16 gallons x 25 miles per gallon = 400 miles. Therefore, Roger can drive 400 miles on a full tank. Choice A (41 miles) is incorrect as it does not consider the tank's full capacity. Choice B (100 miles) is incorrect as it does not account for the full tank's capacity and the average miles per gallon. Choice D (320 miles) is incorrect as it miscalculates the total distance based on the given information.

3. Relatively prime numbers share no common factors other than 1. Which of the following pairs of numbers are relatively prime?

Correct answer: B

Rationale: Rationale: - Relatively prime numbers are numbers that share no common factors other than 1. - To determine if two numbers are relatively prime, we need to find the greatest common divisor (GCD) of the two numbers. If the GCD is 1, then the numbers are relatively prime. - Let's calculate the GCD for each pair of numbers: A) GCD(12, 16) = 4, not relatively prime B) GCD(15, 17) = 1, relatively prime C) GCD(20, 24) = 4, not relatively prime D) GCD(28, 36) = 4, not relatively prime Therefore, the pair of numbers 15 and 17 are relatively prime because their greatest common divisor is 1, meaning they share no common factors other than 1.

4. What does the word Trepidation mean?

Correct answer: B

Rationale: The correct answer is B: 'Misgivings'. Trepidation is defined as a feeling of fear or anxiety about something that may happen. Choice A ('Fear') is too broad and does not capture the specific sense of unease that trepidation conveys. Choice C ('Confidence') is the opposite of what trepidation represents. Choice D ('Doubt') is related to uncertainty but does not fully encapsulate the sense of fear and anxiety associated with trepidation.

5. What is the meaning of Absorption?

Correct answer: A

Rationale: The correct answer is A: 'Movement of nutrients from the digestive tube into the bloodstream.' Absorption specifically refers to the process where nutrients are taken up by the body from the digestive tract into the bloodstream for utilization. Choices B, C, and D are incorrect. Choice B refers to the secretion of enzymes into the stomach, choice C refers to the absorption of water from the intestines, and choice D refers to the excretion of waste from the body, which are not the definitions of absorption.

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