Equations of Newton's laws of motion

Formulas worksheet

Here is a full formulary by subject Newton's laws of motion. By understanding each equation, you will be able to solve any problem that you may find at this level.

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Decomposition of Forces

Definition of the sine of an angle.

$\sin (α) = \frac{cateto opuesto}{hipotenusa} = \frac{b}{a}$

Definition of the cosine of an angle.

$\cos (α) = \frac{cateto contiguo}{hipotenusa} = \frac{c}{a}$

Definition of tangent of an angle

\tan (α) = \frac{opposite cathetus}{adjacent cathetus} = \frac{b}{c}

Resultant Force of a System of Forces

Resultant force of a concurrent system of forces

\sum_{} \vec{F} = \vec{F_{1}} + \vec{F_{2}} + \vec{F_{3}} + . . . + \vec{F_{n}}

Linear Momentum

\vec{p} = m \cdot \vec{v}

Linear Momentum of a Particles System

\vec{p} = {\vec{p}}_{1} + {\vec{p}}_{2} + . . . + {\vec{p}}_{n}

Newton´s First Law

Newton´s first law

\sum F = 0 \Leftrightarrow \frac{d v}{d t} = 0

Momentum conservation principle

\sum \vec{F} = 0 \Leftrightarrow \vec{p} = constant \Leftrightarrow \frac{d \vec{p}}{d t} = 0

Newton´s Second Law

General expression of Newton ́s second law

\sum \vec{F} = \frac{d \vec{p}}{d t}

Speed of linear momentum variation

\sum_{} \vec{F} = \frac{Δ \vec{p}}{Δ t}

Newton ́s second law. Unchanged mass

\sum_{} \vec{F} = m \cdot \vec{a}

Newton ́s second law magnitude. Unchanged mass

F = m \cdot a

Newton´s Third Law

\vec{F_{A B}} = - \vec{F_{B A}} F_{A B} = F_{B A}

Impulse

\vec{J} = \vec{F} \cdot ∆ t = ∆ \vec{p}

Momentum Conservation Principle

Momentum conservation principle

\sum \vec{F} = 0 \Leftrightarrow \vec{p} = constant \Leftrightarrow \frac{d \vec{p}}{d t} = 0

Formulas worksheet

Decomposition of Forces

Definition of the sine of an angle.

Definition of the cosine of an angle.

Definition of tangent of an angle

Resultant Force of a System of Forces

Resultant force of a concurrent system of forces

Linear Momentum

Linear Momentum

Linear Momentum of a Particles System

Newton´s First Law

Newton´s first law

Momentum conservation principle

Newton´s Second Law

General expression of Newton ́s second law

Speed of linear momentum variation

Newton ́s second law. Unchanged mass

Newton ́s second law magnitude. Unchanged mass

Newton´s Third Law

Newton´s Third Law

Impulse

Impulse

Momentum Conservation Principle

Momentum conservation principle

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Formulas worksheet

Definition of the sine of an angle.

Definition of the cosine of an angle.

Definition of tangent of an angle

Resultant force of a concurrent system of forces

Linear Momentum

Linear Momentum of a Particles System

Newton´s first law

Momentum conservation principle

General expression of Newton ́s second law

Speed of linear momentum variation

Newton ́s second law. Unchanged mass

Newton ́s second law magnitude. Unchanged mass

Newton´s Third Law

Impulse

Momentum conservation principle