Directions: This section of the exam consists of questions...

Directions: This section of the exam consists of questions or incomplete statements followed by five possible answers or completions. Select the best answer or completion, and fill in the corresponding bubble on the answer sheet. Two positively charged spheres are released and begin to move. Which statement regarding the force, acceleration, and velocity of these charges is true? (A) Force increases, acceleration increases, and velocity decreases. (B) Force increases, acceleration increases, and velocity increases. (C) Force decreases, acceleration decreases, and velocity decreases. (D) Force decreases, acceleration decreases, and velocity increases. (E) Force decreases, acceleration increases, and velocity decreases.

Directions: This section of the exam consists of questions or incomplete statements followed by five possible answers or completions. Select the best answer or completion, and fill in the corresponding bubble on the answer sheet.

Two positively charged spheres are released and begin to move. Which statement regarding the force, acceleration, and velocity of these charges is true?
(A) Force increases, acceleration increases, and velocity decreases.
(B) Force increases, acceleration increases, and velocity increases.
(C) Force decreases, acceleration decreases, and velocity decreases.
(D) Force decreases, acceleration decreases, and velocity increases.
(E) Force decreases, acceleration increases, and velocity decreases.

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Key Concepts

Kinematics of Accelerating Bodies

In kinematics, even if the acceleration of an object decreases, the object can continue to increase its velocity because it accumulates velocity over time. In this problem, although the acceleration decreases as the spheres move apart, the spheres still increase in speed as they continue to accelerate from rest.

Coulomb's Law

This law describes the force between two point charges. The force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. In this problem, as the charged spheres move apart, the distance increases, leading to a decrease in the magnitude of the electrostatic force.

Newton's Second Law

Newton's Second Law states that the force acting on an object is equal to its mass times its acceleration (F = ma). As the electrostatic force changes due to increasing separation, the resulting acceleration of the spheres also changes, decreasing in magnitude as the force weakens.

Transcript

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