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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Question
![**Problem Statement: Kinetic Energy and Mass Calculation**
An object has a kinetic energy of 61 Joules (J). If its speed is 6.6 meters per second (m/s), what is its mass?
**Solution:**
To find the mass of the object, we can use the formula for kinetic energy:
\[ KE = \frac{1}{2}mv^2 \]
Where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass,
- \( v \) is the speed.
Given:
- \( KE = 61 \, \text{J} \)
- \( v = 6.6 \, \text{m/s} \)
Rearrange the formula to solve for mass \( m \):
\[ m = \frac{2 \times KE}{v^2} \]
\[ m = \frac{2 \times 61}{6.6^2} \]
\[ m = \frac{122}{43.56} \]
\[ m \approx 2.8 \, \text{kg} \]
Therefore, the mass of the object is approximately 2.8 kilograms.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00030fb4-2bf0-41c7-8151-28e1f2b4f688%2F74fff7ce-0c81-4ff5-9ef6-399fc8937449%2Fzi5g26_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement: Kinetic Energy and Mass Calculation**
An object has a kinetic energy of 61 Joules (J). If its speed is 6.6 meters per second (m/s), what is its mass?
**Solution:**
To find the mass of the object, we can use the formula for kinetic energy:
\[ KE = \frac{1}{2}mv^2 \]
Where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass,
- \( v \) is the speed.
Given:
- \( KE = 61 \, \text{J} \)
- \( v = 6.6 \, \text{m/s} \)
Rearrange the formula to solve for mass \( m \):
\[ m = \frac{2 \times KE}{v^2} \]
\[ m = \frac{2 \times 61}{6.6^2} \]
\[ m = \frac{122}{43.56} \]
\[ m \approx 2.8 \, \text{kg} \]
Therefore, the mass of the object is approximately 2.8 kilograms.
Expert Solution
Step 1
Kinetic energy is the energy possessed by an object as a result of its motion. Essentially, it is the energy of mass in motion. Kinetic energy can never be negative, and it is a scalar quantity, meaning it only offers magnitude rather than direction.
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