Calculate the final velocity right after a 18 kg rugby player who is initially running at 7.15 m/s collides head-on with a padded goalpost and experiences a backward force of 17500 N for 5.50 x 10-2 s. Question Credit: OpenStax College Physics final velocity: 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)...
icon
Related questions
Topic Video
Question
**Problem Statement:**

Calculate the final velocity right after a 118 kg rugby player who is initially running at 7.15 m/s collides head-on with a padded goalpost and experiences a backward force of 17500 N for 5.50 × 10⁻² s.

**Solution:**

[final velocity: ________ m/s]

**Question Credit:** OpenStax College Physics

**Explanation:**

To solve this problem, we will use the principle of impulse and momentum. The impulse experienced by the player is equal to the change in momentum. The impulse can be calculated as the product of the force and the time duration it is applied, and the change in momentum is the difference between the final and initial momentum.

**Step-by-step solution:**

1. **Identify the given values:**
   - Mass of the player (m) = 118 kg
   - Initial velocity (u) = 7.15 m/s
   - Force (F) = 17500 N (acting backward)
   - Time duration (t) = 5.50 × 10⁻² s

2. **Calculate the impulse (I):**
   - Impulse, \( I = F \times t \)
   - \( I = 17500 \, \text{N} \times 5.50 \times 10^{-2} \, \text{s} \)

3. **Calculate the initial momentum (p_initial):**
   - \( p_{\text{initial}} = m \times u \)
   - \( p_{\text{initial}} = 118 \, \text{kg} \times 7.15 \, \text{m/s} \)

4. **Use impulse-momentum theorem:**
   - \( I = p_{\text{final}} - p_{\text{initial}} \)
   - Rearrange to find final momentum: \( p_{\text{final}} = I + p_{\text{initial}} \)

5. **Find final velocity (v):**
   - \( v = \frac{p_{\text{final}}}{m} \)

By performing these calculations, you will find the final velocity of the rugby player after the collision.
Transcribed Image Text:**Problem Statement:** Calculate the final velocity right after a 118 kg rugby player who is initially running at 7.15 m/s collides head-on with a padded goalpost and experiences a backward force of 17500 N for 5.50 × 10⁻² s. **Solution:** [final velocity: ________ m/s] **Question Credit:** OpenStax College Physics **Explanation:** To solve this problem, we will use the principle of impulse and momentum. The impulse experienced by the player is equal to the change in momentum. The impulse can be calculated as the product of the force and the time duration it is applied, and the change in momentum is the difference between the final and initial momentum. **Step-by-step solution:** 1. **Identify the given values:** - Mass of the player (m) = 118 kg - Initial velocity (u) = 7.15 m/s - Force (F) = 17500 N (acting backward) - Time duration (t) = 5.50 × 10⁻² s 2. **Calculate the impulse (I):** - Impulse, \( I = F \times t \) - \( I = 17500 \, \text{N} \times 5.50 \times 10^{-2} \, \text{s} \) 3. **Calculate the initial momentum (p_initial):** - \( p_{\text{initial}} = m \times u \) - \( p_{\text{initial}} = 118 \, \text{kg} \times 7.15 \, \text{m/s} \) 4. **Use impulse-momentum theorem:** - \( I = p_{\text{final}} - p_{\text{initial}} \) - Rearrange to find final momentum: \( p_{\text{final}} = I + p_{\text{initial}} \) 5. **Find final velocity (v):** - \( v = \frac{p_{\text{final}}}{m} \) By performing these calculations, you will find the final velocity of the rugby player after the collision.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Momentum
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON