ENADE Física Practice Questions - ENADE Física - Exame Nacional De Desempenho Dos Estudantes Exam

Access More Questions

In a conservative central force field with potential $V(\vec{r}) = V(r)$, the orbital angular momentum $\vec{L} = \vec{r} \times \vec{p}$ is a conserved constant of motion. Consequently, the position vector sweeps out area at a constant rate (Kepler's Second Law). What is the magnitude of this areal velocity $\frac{dA}{dt}$ in terms of $L$ and particle mass $m$?

$$\frac{dA}{dt} = \frac{L}{m}$ $$\frac{dA}{dt} = \frac{L}{2m}$ $$\frac{dA}{dt} = \frac{2L}{m}$ $$\frac{dA}{dt} = \frac{L^2}{2m}$

Correct Answer:

$$\frac{dA}{dt} = \frac{L}{2m}$

Access more questions from this quiz

Continue to ENADE Física Practice Questions - ENADE Física - Exame Nacional de Desempenho dos Estudantes Exam for more practice questions and the full quiz experience.

Access More Questions