i. v² =v² +2a(s— s.) ,a =

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## Physics Equations 

### i. Equation of Motion
\[ v^2 = v_o^2 + 2a(s - s_o) \]
Where:
- \( v \) is the final velocity
- \( v_o \) is the initial velocity
- \( a \) is the acceleration
- \( s \) is the final position
- \( s_o \) is the initial position

To find the acceleration (\( a \)):
\[ a = \_\_\_\_\_\_\_\_\_\_ \]
(Note: The blank space indicates where students can fill in the derived or given value for acceleration.)

### j. Kinetic Energy in a Spring
\[ K = \frac{1}{2}kx^2 \]
Where:
- \( K \) is the kinetic energy
- \( k \) is the spring constant
- \( x \) is the displacement from equilibrium

To find the displacement (\( x \)):
\[ x = \_\_\_\_\_\_\_\_\_\_ \]
(Note: The blank space indicates where students can fill in the derived or given value for displacement.)

### k. Period of a Pendulum
\[ T_p = 2\pi\sqrt{\frac{l}{g}} \]
Where:
- \( T_p \) is the period of the pendulum
- \( l \) is the length of the pendulum
- \( g \) is the acceleration due to gravity

To find the acceleration due to gravity (\( g \)):
\[ g = \_\_\_\_\_\_\_\_\_\_ \]
(Note: The blank space indicates where students can fill in the derived or given value for the acceleration due to gravity.)

Understanding these fundamental equations is essential for mastering concepts in physics. They reflect the relationship between various physical quantities and help in solving real-world problems.
Transcribed Image Text:## Physics Equations ### i. Equation of Motion \[ v^2 = v_o^2 + 2a(s - s_o) \] Where: - \( v \) is the final velocity - \( v_o \) is the initial velocity - \( a \) is the acceleration - \( s \) is the final position - \( s_o \) is the initial position To find the acceleration (\( a \)): \[ a = \_\_\_\_\_\_\_\_\_\_ \] (Note: The blank space indicates where students can fill in the derived or given value for acceleration.) ### j. Kinetic Energy in a Spring \[ K = \frac{1}{2}kx^2 \] Where: - \( K \) is the kinetic energy - \( k \) is the spring constant - \( x \) is the displacement from equilibrium To find the displacement (\( x \)): \[ x = \_\_\_\_\_\_\_\_\_\_ \] (Note: The blank space indicates where students can fill in the derived or given value for displacement.) ### k. Period of a Pendulum \[ T_p = 2\pi\sqrt{\frac{l}{g}} \] Where: - \( T_p \) is the period of the pendulum - \( l \) is the length of the pendulum - \( g \) is the acceleration due to gravity To find the acceleration due to gravity (\( g \)): \[ g = \_\_\_\_\_\_\_\_\_\_ \] (Note: The blank space indicates where students can fill in the derived or given value for the acceleration due to gravity.) Understanding these fundamental equations is essential for mastering concepts in physics. They reflect the relationship between various physical quantities and help in solving real-world problems.
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