13. 2 balls collide on a pool table. The larger ball of mass 2kg experiences an acceleration of magnitude 5m/s² during the collision. What is the magnitude of the acceleration experienced by the smaller ball (mass 0.5kg) during the collision? 10 m/s? a = f-ma B) 1.25 m/s? 2(5) C) 5 m/s? - lON isa = NS D) 2.5 m/s? F az 2N N E) 20 m/s? m a
13. 2 balls collide on a pool table. The larger ball of mass 2kg experiences an acceleration of magnitude 5m/s² during the collision. What is the magnitude of the acceleration experienced by the smaller ball (mass 0.5kg) during the collision? 10 m/s? a = f-ma B) 1.25 m/s? 2(5) C) 5 m/s? - lON isa = NS D) 2.5 m/s? F az 2N N E) 20 m/s? m a
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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![**Problem Statement:**
Two balls collide on a pool table. The larger ball of mass 2 kg experiences an acceleration of magnitude 5 m/s² during the collision. What is the magnitude of the acceleration experienced by the smaller ball (mass 0.5 kg) during the collision?
**Options:**
A) 10 m/s²
B) 1.25 m/s²
C) 5 m/s²
D) 2.5 m/s²
E) 20 m/s²
**Solution Explanation:**
To solve this problem, we use Newton's Second Law of Motion, which states that force \( (F) \) equals mass \( (m) \) multiplied by acceleration \( (a) \), i.e., \( F = ma \).
1. **Calculate the Force on the Larger Ball:**
Given the mass of the larger ball is 2 kg and its acceleration is 5 m/s²:
\[
F = 2 \, \text{kg} \times 5 \, \text{m/s}^2 = 10 \, \text{N}
\]
2. **Calculate the Acceleration of the Smaller Ball:**
Since the same force acts on both balls, use \( F = ma \) to find the acceleration of the smaller ball. For a smaller ball of mass 0.5 kg:
\[
10 \, \text{N} = 0.5 \, \text{kg} \times a
\]
Solving for \( a \):
\[
a = \frac{10 \, \text{N}}{0.5 \, \text{kg}} = 20 \, \text{m/s}^2
\]
**Correct Answer:** E) 20 m/s²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc58cb787-7e9f-401f-bc3b-4d11a9fe5e2a%2F27eadcc7-531e-4bd7-9e01-02cf51d2a4df%2F6c445p6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Two balls collide on a pool table. The larger ball of mass 2 kg experiences an acceleration of magnitude 5 m/s² during the collision. What is the magnitude of the acceleration experienced by the smaller ball (mass 0.5 kg) during the collision?
**Options:**
A) 10 m/s²
B) 1.25 m/s²
C) 5 m/s²
D) 2.5 m/s²
E) 20 m/s²
**Solution Explanation:**
To solve this problem, we use Newton's Second Law of Motion, which states that force \( (F) \) equals mass \( (m) \) multiplied by acceleration \( (a) \), i.e., \( F = ma \).
1. **Calculate the Force on the Larger Ball:**
Given the mass of the larger ball is 2 kg and its acceleration is 5 m/s²:
\[
F = 2 \, \text{kg} \times 5 \, \text{m/s}^2 = 10 \, \text{N}
\]
2. **Calculate the Acceleration of the Smaller Ball:**
Since the same force acts on both balls, use \( F = ma \) to find the acceleration of the smaller ball. For a smaller ball of mass 0.5 kg:
\[
10 \, \text{N} = 0.5 \, \text{kg} \times a
\]
Solving for \( a \):
\[
a = \frac{10 \, \text{N}}{0.5 \, \text{kg}} = 20 \, \text{m/s}^2
\]
**Correct Answer:** E) 20 m/s²
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