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MMLU-Pro / 9746 / A particle moves with v= const. along the curve r=k(1+cosθ) (a…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A particle moves with v=v= const. along the curve r=k(1+cosθ)r=k(1+\cos \theta) (a cardioid). Find r¨⋅er=a⋅er\ddot{\mathbf{r}} \cdot \mathbf{e}_r=\mathbf{a} \cdot \mathbf{e}_r.
Plain-text mathematical notation (without MathML)
A particle moves with v= const. along the curve r=k(1+cosθ) (a cardioid). Find (r)¨⋅e_(r)=a⋅e_(r).
Original LaTeX notation
A particle moves with $v=$ const. along the curve $r=k(1+\cos \theta)$ (a cardioid). Find $\ddot{\mathbf{r}} \cdot \mathbf{e}_r=\mathbf{a} \cdot \mathbf{e}_r$.

category

physics

options

  1. $-\frac{v^2}{k}$
  2. $-\frac{3}{4}$ $\frac{v^2}{k}$
  3. $-\frac{7}{4}$ $\frac{v^2}{k}$
  4. $\frac{1}{4}$ $\frac{v^2}{k}$
  5. $-\frac{1}{4}$ $\frac{v^2}{k}$
  6. $-\frac{1}{2}$ $\frac{v^2}{k}$
  7. $\frac{3}{4}$ $\frac{v^2}{k}$
  8. $-\frac{5}{4}$ $\frac{v^2}{k}$
  9. $-\frac{6}{4}$ $\frac{v^2}{k}$
  10. $0$

src

scibench-class

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Source and history

upstream_id / Original problem ID
9746
task_id
380ff98f-94fc-5410-9caa-6e3a9a4d76c9
task_key
default--test--9746
task_revision_id
1
config / split
default / test

Official source

initial import