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I. F₂=G" 1 m. mgh n. mm₂ 2 == mv² 2 1 x = x₂ + vt + = at² 2 ,r= , V = ,t =

I. F₂=G" 1 m. mgh n. mm₂ 2 == mv² 2 1 x = x₂ + vt + = at² 2 ,r= , V = ,t =

Algebra and Trigonometry (6th Edition)
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
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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