Work and kinetic energy

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Equations

$$\begin{array}{}\text{(7.1)}& W=\overrightarrow{\mathbf{\text{F}}}\cdot \overrightarrow{\mathbf{\text{s}}}(\text{constant force, straight-line})\end{array}$$ $$\begin{array}{}\text{(7.2)}& W=sF\text{cos}\gamma (\text{constant force, straight-line})\end{array}$$ $$\begin{array}{}\text{(7.3)}& W=\int \overrightarrow{\mathbf{\text{F}}}\cdot \overrightarrow{\mathbf{\text{s}}}(\text{constant force, any path})\end{array}$$ $$\begin{array}{}\text{(7.4)}& W_{net}=\mathrm{\Delta }K(\text{Relation between work and kinetic energy})\end{array}$$ $$\begin{array}{}\text{(7.5)}& W_{net}=\mathrm{\Delta }K=\int \overrightarrow{\mathbf{\text{F}}}\cdot \overrightarrow{\mathbf{\text{s}}}(\text{Work and kinetic energy})\end{array}$$ $$\begin{array}{}\text{(7.6)}& W_{net}=\mathrm{\Delta }K=\int \overrightarrow{\mathbf{\text{F}}}\cdot \overrightarrow{\mathbf{\text{s}}}=1/2m{v}^2(\text{Work and kinetic energy})\end{array}$$ $$\begin{array}{}\text{(7.7)}& W_{net}={\int }_{x_1}^{x_2}{F}_{x}dx(\text{Varying x component of force, straight line})\end{array}$$ $$\begin{array}{}\text{(7.8)}& W_{net}=\int \overrightarrow{\mathbf{\text{F}}}\cdot \overrightarrow{\mathbf{\text{s}}}=\int F_{||}ds=\int F\text{cos}\lambda ds(\text{Work done on a path})\end{array}$$ $$\begin{array}{}\text{(7.9)}& P=\frac{W}{t}(\text{Power})\end{array}$$ $$\begin{array}{}\text{(7.10)}& P_{avg}=\frac{\mathrm{\Delta }W}{\mathrm{\Delta }t}(\text{Average power})\end{array}$$ $$\begin{array}{}\text{(7.11)}& P_{\text{inst}}=\underset{\mathrm{\Delta }t\to 0}{lim}\frac{\mathrm{\Delta }W}{\mathrm{\Delta }t}=\frac{dW}{dt}(\text{Instantaneous power})\end{array}$$ $$\begin{array}{}\text{(7.12)}& P=\frac{W}{t}=\frac{\overrightarrow{\mathbf{\text{F}}}\cdot \overrightarrow{\mathbf{\text{s}}}}{t}=\overrightarrow{\mathbf{\text{F}}}\cdot \overrightarrow{\mathbf{\text{v}}}(\text{Power})\end{array}$$

Exercises

1. problem 1
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2. problem 2
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3. problem 3
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Quiz

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