Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![## Physics Equations Explained
### Gravitational Force
1. **Equation:**
\[ F_g = G \frac{m_1 m_2}{r^2} \]
- **Description:** This is the formula for the gravitational force between two masses, \(m_1\) and \(m_2\), separated by a distance \(r\).
- **Variables:**
- \( G \): Gravitational constant
- \( m_1 \): Mass of the first object
- \( m_2 \): Mass of the second object
- \( r \): Distance between the centers of the two masses
### Potential and Kinetic Energy
2. **Equation:**
\[ mgh = \frac{1}{2} mv^2 \]
- **Description:** This equation illustrates the conversion of potential energy (mgh) to kinetic energy (\(\frac{1}{2} mv^2\)).
- **Variables:**
- \( m \): Mass of the object
- \( g \): Acceleration due to gravity
- \( h \): Height
- \( v \): Velocity
### Kinematic Equation for Position
3. **Equation:**
\[ x = x_0 + v_0 t + \frac{1}{2} at^2 \]
- **Description:** This is the kinematic equation for the position of an object under constant acceleration.
- **Variables:**
- \( x \): Final position
- \( x_0 \): Initial position
- \( v_0 \): Initial velocity
- \( t \): Time
- \( a \): Acceleration](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa992ddae-9f4c-4e38-a775-9a20bf03bdc1%2F9352b7fc-d83e-417b-b703-886664517e3a%2Flk6z8w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Physics Equations Explained
### Gravitational Force
1. **Equation:**
\[ F_g = G \frac{m_1 m_2}{r^2} \]
- **Description:** This is the formula for the gravitational force between two masses, \(m_1\) and \(m_2\), separated by a distance \(r\).
- **Variables:**
- \( G \): Gravitational constant
- \( m_1 \): Mass of the first object
- \( m_2 \): Mass of the second object
- \( r \): Distance between the centers of the two masses
### Potential and Kinetic Energy
2. **Equation:**
\[ mgh = \frac{1}{2} mv^2 \]
- **Description:** This equation illustrates the conversion of potential energy (mgh) to kinetic energy (\(\frac{1}{2} mv^2\)).
- **Variables:**
- \( m \): Mass of the object
- \( g \): Acceleration due to gravity
- \( h \): Height
- \( v \): Velocity
### Kinematic Equation for Position
3. **Equation:**
\[ x = x_0 + v_0 t + \frac{1}{2} at^2 \]
- **Description:** This is the kinematic equation for the position of an object under constant acceleration.
- **Variables:**
- \( x \): Final position
- \( x_0 \): Initial position
- \( v_0 \): Initial velocity
- \( t \): Time
- \( a \): Acceleration
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