---
title: Bottle Race
topic: Rotational Motion
author: John Hopkinson
source: PHYS 112 2019W Final Q2
template_version: 1.3
attribution: standard
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showCorrectAnswer: false
outcomes:
- 8.5.1.0
- 8.5.1.2
- 8.5.2.2
difficulty:
- medium
randomization:
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- PW
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myst:
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    params:
      vars:
        title: Bottle Race
      part1:
        ans1:
          value: Both bottles will stop at the same height before rolling back down
            the ramp as they both have the same mass.
        ans2:
          value: Bottle 1 has more initial kinetic energy than bottle 2, so bottle
            1 will stop higher up the ramp than bottle 2.  Both bottles will roll
            back down the ramp after stopping.
        ans3:
          value: Bottle 2 has more initial kinetic energy than bottle 1, so bottle
            2 will stop higher up the ramp than bottle 1.  Both bottles will roll
            back down the ramp after stopping.
        ans4:
          value: Bottle 2 has more initial kinetic energy than bottle 1, so bottle
            1 will stop higher up the ramp than bottle 2.  Both bottles will roll
            back down the ramp after stopping.
        ans5:
          value: Bottle 1 has more initial kinetic energy than bottle 2, so bottle
            2 will stop higher up the ramp than bottle 1.  Both bottles will roll
            back down the ramp after stopping.
---
# {{ params.vars.title }}
Two identical cylindrical water bottles are 80% filled with water. Bottle 1 is placed in a freezer until the water turns to ice, while bottle 2 remains unfrozen.

## Part 1

If both bottles are given the same initial velocity and roll without slipping **up** a very long ramp, which of the following will be true?
(You may ignore any work done by non-conservative forces in this problem).

### Answer Section

- {{ params.part1.ans1.value }}
- {{ params.part1.ans2.value }}
- {{ params.part1.ans3.value }}
- {{ params.part1.ans4.value }}
- {{ params.part1.ans5.value }}

## Attribution

Problem is licensed under the [CC-BY-NC-SA 4.0 license](https://creativecommons.org/licenses/by-nc-sa/4.0/).<br> ![The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.](https://raw.githubusercontent.com/firasm/bits/master/by-nc-sa.png)