Perhaps in the distant future skateboards might be replaced by hoverboards, though it is not clear what mechanism the hoverboard "skaters" might use to control their hovering boards. Whatever mechanism that might be, the skaters in the following problem are skating with the control mechanism turned off! In other words, they have the capability of completely frictionless motion in a horizontal plane, but absolutely no control of their speed or direction (except by colliding with objects at the hoverpark or with each other). We will assume that (at least at the hoverpark) the force that makes the boards hover is a purely magnetic repulsion between the boards and the hoverpark surface. You can see a video of a primitive version of a hoverpark here. Esteban and Jessica's twin granddaughters, Emma and Clarita, are preternaturally talented at riding hoverboards. One fine day, the young twins, each riding her own hoverboard, are cruising across the hoverpark arm-in-arm. The mass of each twin is 24.50 kg (the mass of each skater includes the mass of her hoverboard). Suddenly, Clarita spots an obstacle ahead; to save them both from collision with the obstacle, she gives Emma a two-handed horizontal push. As a result, Emma ends up traveling at 1.10 m/s, due North, and Clarita ends up traveling at 2.30 m/s.37.0 degrees North of East. ▼ Part A What was the original speed of Emma and Clarita when they were traveling arm-in-arm? ►View Available Hint(s) ΠΫΠΙ ΑΣΦ Submit 4 m/s
Perhaps in the distant future skateboards might be replaced by hoverboards, though it is not clear what mechanism the hoverboard "skaters" might use to control their hovering boards. Whatever mechanism that might be, the skaters in the following problem are skating with the control mechanism turned off! In other words, they have the capability of completely frictionless motion in a horizontal plane, but absolutely no control of their speed or direction (except by colliding with objects at the hoverpark or with each other). We will assume that (at least at the hoverpark) the force that makes the boards hover is a purely magnetic repulsion between the boards and the hoverpark surface. You can see a video of a primitive version of a hoverpark here. Esteban and Jessica's twin granddaughters, Emma and Clarita, are preternaturally talented at riding hoverboards. One fine day, the young twins, each riding her own hoverboard, are cruising across the hoverpark arm-in-arm. The mass of each twin is 24.50 kg (the mass of each skater includes the mass of her hoverboard). Suddenly, Clarita spots an obstacle ahead; to save them both from collision with the obstacle, she gives Emma a two-handed horizontal push. As a result, Emma ends up traveling at 1.10 m/s, due North, and Clarita ends up traveling at 2.30 m/s.37.0 degrees North of East. ▼ Part A What was the original speed of Emma and Clarita when they were traveling arm-in-arm? ►View Available Hint(s) ΠΫΠΙ ΑΣΦ Submit 4 m/s
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Title: Exploring Motion with Hoverboards**
**Introduction:**
In an imaginative future where skateboards might be replaced by hoverboards, we delve into the dynamics of motion without conventional controls. In this scenario, skaters use hoverboards with no control over speed or direction, apart from interactions like collisions. The hoverboard mechanism operates on magnetic repulsion, providing a frictionless skating experience on a hover park surface.
**Scenario Analysis:**
Meet Esteban and Jessica's twin granddaughters, Emma and Clarita, skilled hoverboard riders. On an adventurous day, they cruise the hover park arm-in-arm on their hoverboards. Each twin, including her hoverboard, has a mass of 24.50 kg. An unexpected obstacle prompts quick thinking—Clarita, to prevent collision, pushes Emma, leading to a change in their velocities:
- **Emma:** Travels at 1.10 m/s due North.
- **Clarita:** Travels at 2.30 m/s at an angle of 37.0 degrees North of East.
**Problem Statement (Part A):**
*Challenge: Calculate the original speed of Emma and Clarita while they were traveling together.*
**Hint:**
Analyze the situation using principles of conservation of momentum.
**Interactive Component:**
- Input your calculations in the box provided (unit: m/s)
- [Submit] your answer
This problem offers a practical exploration of motion, momentum conservation, and directional velocity changes in a futuristic context. Join us as we explore these dynamic physics principles!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb2133c9-e1e5-4d56-9c72-044227328930%2Ff3cf2bf0-c5e9-43d8-b149-d73c1df2e291%2Frz2hlf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Exploring Motion with Hoverboards**
**Introduction:**
In an imaginative future where skateboards might be replaced by hoverboards, we delve into the dynamics of motion without conventional controls. In this scenario, skaters use hoverboards with no control over speed or direction, apart from interactions like collisions. The hoverboard mechanism operates on magnetic repulsion, providing a frictionless skating experience on a hover park surface.
**Scenario Analysis:**
Meet Esteban and Jessica's twin granddaughters, Emma and Clarita, skilled hoverboard riders. On an adventurous day, they cruise the hover park arm-in-arm on their hoverboards. Each twin, including her hoverboard, has a mass of 24.50 kg. An unexpected obstacle prompts quick thinking—Clarita, to prevent collision, pushes Emma, leading to a change in their velocities:
- **Emma:** Travels at 1.10 m/s due North.
- **Clarita:** Travels at 2.30 m/s at an angle of 37.0 degrees North of East.
**Problem Statement (Part A):**
*Challenge: Calculate the original speed of Emma and Clarita while they were traveling together.*
**Hint:**
Analyze the situation using principles of conservation of momentum.
**Interactive Component:**
- Input your calculations in the box provided (unit: m/s)
- [Submit] your answer
This problem offers a practical exploration of motion, momentum conservation, and directional velocity changes in a futuristic context. Join us as we explore these dynamic physics principles!
![**Part B**
In what direction were Emma and Clarita originally traveling?
Give your answer as an angle in degrees measured CCW from due East (when looking Down); the size of the angle should be less than 180 degrees. If the angle would be larger than 180 degrees, instead measure CW from due East and give your answer as a negative angle.
[Input box] degrees CCW from East
[Submit Button] [Request Answer Link]
---
**Part C**
How much kinetic energy was added to the Emma-Clarita system by Clarita’s push?
[Input box] J
[Submit Button] [Request Answer Link]
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb2133c9-e1e5-4d56-9c72-044227328930%2Ff3cf2bf0-c5e9-43d8-b149-d73c1df2e291%2F6z9g3v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Part B**
In what direction were Emma and Clarita originally traveling?
Give your answer as an angle in degrees measured CCW from due East (when looking Down); the size of the angle should be less than 180 degrees. If the angle would be larger than 180 degrees, instead measure CW from due East and give your answer as a negative angle.
[Input box] degrees CCW from East
[Submit Button] [Request Answer Link]
---
**Part C**
How much kinetic energy was added to the Emma-Clarita system by Clarita’s push?
[Input box] J
[Submit Button] [Request Answer Link]
---
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