---
title: Frictionless Ski Jump Collision
topic: Template
author: Firas Moosvi
source: original
template_version: 1.4
attribution: standard
partialCredit: true
singleVariant: false
showCorrectAnswer: false
outcomes: null
difficulty:
- hard
randomization:
- 5
taxonomy:
- undefined
span:
- undefined
length:
- medium
tags:
- JR
assets:
- skijump.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: 0.03
weight: 1
allow-blank: true
label: $x = $
suffix: $\rm{m}$
myst:
substitutions:
params:
vars:
name: Ximena
title: Frictionless Ski Jump Collision
mA: 19
mB: 9.12
ramp_angle: 23
ramp_h: 0.63
hill_h: 468
---
# {{ params.vars.title }}
A ski jump consists of a hill, a short flat section, and a ramp. The hill has height of ${{ params.hill_h }}$ $\rm{m}$ and the ramp has a height of ${{ params.ramp_h }}$ $\rm{m}$, making an angle of $\theta = {{ params.ramp_angle }}^\circ$ with the horizontal.
Block A of mass $m_A = {{ params.mA }}$ $\rm{kg}$ is released from rest at the top of the frictionless hill and slides down to the frictionless short flat section, where it undergoes a perfectly elastic collision with Block B of mass $m_B = {{params.mB }}$ $\rm{kg}$. This causes Block B to slide up the frictionless ramp and undergo projectile motion, before landing a horizontal distance $x$ away from the ramp at the same height as the short flat section.
## Part 1
What is the speed of Block B immediately after the perfectly elastic collision?
### Answer Section
Please enter in a numeric value in $\rm{m/s}$.
## Part 2
What is the horizontal distance that Block B travels after it goes off the ramp ($x$)?
### Answer Section
Please enter in a numeric value in $\rm{m}$.
## Attribution
Problem is licensed under the [CC-BY-NC-SA 4.0 license](https://creativecommons.org/licenses/by-nc-sa/4.0/).
