A father of 75-kg took his daughter of 35-kg to ice skating. They push off against one another starting from a stationary position. The father acquires a speed of 0.350 m/s. What speed does his daughter acquire? 0.350 m/s 0.500 m/s Om/s 0.281 m/s 0.750 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
Question
Please explain
**Problem Description:**

A father of 75 kg took his daughter of 35 kg to ice skating. They push off against one another starting from a stationary position. The father acquires a speed of 0.350 m/s. What speed does his daughter acquire?

**Answer Options:**

- 0.350 m/s
- 0.500 m/s
- 0 m/s
- 0.281 m/s
- 0.750 m/s

**Explanation:**

This problem involves the conservation of momentum. Since the system starts from rest, the initial momentum is zero. When they push off each other, the momentum of the father and daughter system must be conserved. Therefore:

\[ (m_{\text{father}} \times v_{\text{father}}) + (m_{\text{daughter}} \times v_{\text{daughter}}) = 0 \]

Given:
- \( m_{\text{father}} = 75 \text{ kg} \)
- \( v_{\text{father}} = 0.350 \text{ m/s} \)
- \( m_{\text{daughter}} = 35 \text{ kg} \)

We can solve for \( v_{\text{daughter}} \).
Transcribed Image Text:**Problem Description:** A father of 75 kg took his daughter of 35 kg to ice skating. They push off against one another starting from a stationary position. The father acquires a speed of 0.350 m/s. What speed does his daughter acquire? **Answer Options:** - 0.350 m/s - 0.500 m/s - 0 m/s - 0.281 m/s - 0.750 m/s **Explanation:** This problem involves the conservation of momentum. Since the system starts from rest, the initial momentum is zero. When they push off each other, the momentum of the father and daughter system must be conserved. Therefore: \[ (m_{\text{father}} \times v_{\text{father}}) + (m_{\text{daughter}} \times v_{\text{daughter}}) = 0 \] Given: - \( m_{\text{father}} = 75 \text{ kg} \) - \( v_{\text{father}} = 0.350 \text{ m/s} \) - \( m_{\text{daughter}} = 35 \text{ kg} \) We can solve for \( v_{\text{daughter}} \).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Unit conversion
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.
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