---
title: Gravity at Different Heights
topic: Gravitation
author: James Ropotar
source: original
template_version: 1.4
attribution: standard
partialCredit: true
singleVariant: false
showCorrectAnswer: false
outcomes:
- null
difficulty:
- undefined
randomization:
- undefined
taxonomy:
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tags:
- JR
- APSC181
- Midterm 2023
assets: null
part1:
type: number-input
pl-customizations:
weight: 1
allow-blank: true
label: $\frac{g}{g_0} = $
suffix: null
comparison: sigfig
digits: 4
part2:
type: number-input
pl-customizations:
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weight: 1
allow-blank: true
label: $\frac{g}{g_0} = $
suffix: null
digits: 4
myst:
substitutions:
params:
vars:
title: Gravity at Different Heights
units: "$\rm{m/s^2}$"
h: 3217
h2: 14564
r: 6371000.0
---
# {{ params.vars.title }}
In this class, we will often assume gravity to be $9.81 \ \rm{m/s^2}$ in all earthbound circumstances, including in tall buildings, with airplanes, and in many other situations at heights far above the surface level. But is this truly accurate? Take the radius at sea level of the earch to be $R = {{ params.r }} \ \rm{m}$
## Part 1
What is the ratio of gravity felt on a mountain top, $h = {{ params.h }} \ \rm{m}$ above sea level, when compared to the $9.81 \ \rm{m/s^2}$ at the surface? (Answer to 4 Significant Figures)
### Answer Section
Please enter in a numeric value in {{ params.vars.units }}.
## Part 2
What is the ratio of gravity felt on an airplane, $h = {{ params.h2 }} \ \rm{m}$ above sea level, when compared to the $9.81 \ \rm{m/s^2}$ at the surface? (Answer to 4 Significant Figures)
### Answer Section
Please enter in a numeric value in m/s$^2$.
## Attribution
Problem is licensed under the [CC-BY-NC-SA 4.0 license](https://creativecommons.org/licenses/by-nc-sa/4.0/).

![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)