benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 10271 / A potato of mass 0.5 mathrm{~kg} moves under Earth's gravity with an air…

Problem

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

question

A potato of mass $0.5 \mathrm{~kg}$ moves under Earth's gravity with an air resistive force of −kmv-k m v. (a) Find the terminal velocity if the potato is released from rest and k=k= $0.01 \mathrm{~s}^{-1}$. (b) Find the maximum height of the potato if it has the same value of kk, but it is initially shot directly upward with a student-made potato gun with an initial velocity of $120 \mathrm{~m} / \mathrm{s}$.
Plain-text mathematical notation (without MathML)
A potato of mass $0.5 \mathrm{~kg}$ moves under Earth's gravity with an air resistive force of −kmv. (a) Find the terminal velocity if the potato is released from rest and k= $0.01 \mathrm{~s}^{-1}$. (b) Find the maximum height of the potato if it has the same value of k, but it is initially shot directly upward with a student-made potato gun with an initial velocity of $120 \mathrm{~m} / \mathrm{s}$.
Original LaTeX notation
A potato of mass $0.5 \mathrm{~kg}$ moves under Earth's gravity with an air resistive force of $-k m v$. (a) Find the terminal velocity if the potato is released from rest and $k=$ $0.01 \mathrm{~s}^{-1}$. (b) Find the maximum height of the potato if it has the same value of $k$, but it is initially shot directly upward with a student-made potato gun with an initial velocity of $120 \mathrm{~m} / \mathrm{s}$.

category

physics

options

  1. 800 $\mathrm{~m} / \mathrm{s}$
  2. 500 $\mathrm{~m} / \mathrm{s}$
  3. 700 $\mathrm{~m} / \mathrm{s}$
  4. 400 $\mathrm{~m} / \mathrm{s}$
  5. 1000$\mathrm{~m} / \mathrm{s}$
  6. 1200 $\mathrm{~m} / \mathrm{s}$
  7. 1300 $\mathrm{~m} / \mathrm{s}$
  8. 1100 $\mathrm{~m} / \mathrm{s}$
  9. 600 $\mathrm{~m} / \mathrm{s}$
  10. 900 $\mathrm{~m} / \mathrm{s}$

src

scibench-class

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
10271
task_id
11142c3f-da14-5048-856b-04090e58789f
task_key
default--test--10271
task_revision_id
1
config / split
default / test

Official source

initial import