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MMLU-Pro / 9960 / An automobile drag racer drives a car with acceleration a and instantaneous…

Problem

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

question

An automobile drag racer drives a car with acceleration aa and instantaneous velocity vv. The tires (of radius r0r_0 ) are not slipping. For what initial velocity in the rotating system will the hockey puck appear to be subsequently motionless in the fixed system?
Plain-text mathematical notation (without MathML)
An automobile drag racer drives a car with acceleration a and instantaneous velocity v. The tires (of radius r₀ ) are not slipping. For what initial velocity in the rotating system will the hockey puck appear to be subsequently motionless in the fixed system?
Original LaTeX notation
An automobile drag racer drives a car with acceleration $a$ and instantaneous velocity $v$. The tires (of radius $r_0$ ) are not slipping. For what initial velocity in the rotating system will the hockey puck appear to be subsequently motionless in the fixed system?

category

physics

options

  1. 1.1 $\omega r_0$
  2. 0.7 $\omega R$
  3. 0.9 $\omega R$
  4. 0.5 $\omega R$
  5. 0.2 $\omega r_0$
  6. 1.0 $\omega r_0$
  7. 0.3 $\omega R$
  8. 0.8 $\omega r_0$
  9. 0.6 $\omega r_0$
  10. 0.4 $\omega r_0$

src

scibench-class

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Source and history

upstream_id / Original problem ID
9960
task_id
29f9d791-35d8-55d8-8b31-7c61891531f7
task_key
default--test--9960
task_revision_id
1
config / split
default / test

Official source

initial import