A Conservative Force on a Particle Moving Along the X $\overrightarrow{\mathbf{F}}=\left(3 x^{2}-2 x\right) \tilde{\mathbf{i}}$

question 1

Multiple Choice

A conservative force on a particle moving along the x axis is given by $\overrightarrow{\mathbf{F}}=\left(3 x^{2}-2 x\right) \tilde{\mathbf{i}}$ . Which of the following is a potential that is associated with this force?

• A) \((6 x-2) \tilde{\mathbf{i}}\)
• B) \((-6 x+2) \tilde{\mathbf{i}}\)
• C) \(x^{3}-x^{2}+3\)
• D) \(-x^{3}+x^{2}+3\)
• E)No answer given above is correct.

---

Definitions:

Intimacy

Refers to the feeling of being emotionally close and connected with another individual or group, often involving open and honest communication.

Friendships

Close, interpersonal relationships marked by mutual affection, trust, and support.

Generativity

A stage of psychological development where individuals focus on guiding the next generation or contributing to the well-being of younger people.

Repetition

The act of doing or saying something again and again for the purpose of learning, emphasis, or skill acquisition.