---
title: Force on a Waterslide
topic: Force
author: Peyman Yousefi
source: APSC 181, Lecture 15, Q1
template_version: 1.2
attribution: standard
singleVariant: false
showCorrectAnswer: false
outcomes:
- 6.5.1.3
difficulty:
- hard
randomization:
- 2
taxonomy:
- undefined
span:
- multi-chapter
length:
- long
tags:
- APSC181
- Lecture Activities
- JR
assets:
- Force on a Waterslide.png
part1:
type: number-input
pl-customizations:
rtol: 0.05
weight: 1
allow-blank: true
label: $v_b= $
suffix: $\rm{m/s}$
part2:
type: number-input
pl-customizations:
rtol: 0.05
weight: 1
allow-blank: true
label: $F= $
suffix: $\rm{N}$
part3:
type: number-input
pl-customizations:
rtol: 0.05
weight: 1
allow-blank: true
label: $F= $
suffix: $\rm{N}$
myst:
substitutions:
params:
vars:
title: Force on a Waterslide
va: 14
vc: 7
M: 43
d: 11
r: 4
---
# {{ params.vars.title }}
A ${{ params.M }} \rm{kg}$ swimmer travels with a speed of ${{ params.va }} \rm{m/s}$ down a waterslide as they approach point A, as shown in the figure below.
At point A, the slide flattens out before the turn, causing the swimmer to decelerate uniformly to a speed of ${{ params.vc }} \rm{m/s}$ as they pass point C.
In the figure, $R = {{ params.r }} \rm{m}$ and $d = {{ params.d }} \rm{m}$.
You may assume that the swimmer undergoes circular motion starting at point B.
## Part 1
What is the speed of the swimmer as they pass point B?
### Answer Section
Please enter in a numeric value in $\rm{m/s}$.
## Part 2
What is the magnitude of the net force acting on the swimmer at point B?
### Answer Section
Please enter in a numeric value in $\rm{N}$.
## Part 3
What is the magnitude of the horizontal component of normal force acting on the swimmer at point C? Assume the slider does not slip out of the flow.
### Answer Section
Please enter a numeric value in $\rm{N}$.
## Attribution
Problem is licensed under the [CC-BY-NC-SA 4.0 license](https://creativecommons.org/licenses/by-nc-sa/4.0/).
