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In an electric circuit, the **volt (V)** does the work by providing the electrical potential difference that drives current through the circuit, described mathematically as $V = I \cdot R$.

· Physics · Ohm'S Law · Electrical Power Equation

Author Richard Hamilton15 Aug, 2024

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Energy can be removed from matter by increasing its volume, lowering its temperature, increasing its pressure, or boiling it, using formulas such as $PV = nRT$, $Q = mc\Delta T$, $PV^\gamma = \text{constant}$, and $Q = mL_v$.

· Chemistry · Ideal Gas Law · Specific Heat Capacity

Author Johnathan Clark 15 Aug, 2024

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A simple electric motor transforms **electrical energy** into **mechanical energy** through electromagnetic interactions, where current through coils generates a magnetic field that produces torque, leading to rotor motion.

· Physics · Electromagnetic Interaction · Energy Conversion

Author Richard Hamilton15 Aug, 2024

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Energy is expended in active transport through the hydrolysis of **ATP** to ADP and Pi, which provides the necessary energy to move molecules against their concentration gradient.

· Biology · Atp Hydrolysis · Sodium-Potassium Pump

Author Rebecca Green 15 Aug, 2024

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**Activation energy provides enough energy for reactants to form the transition state**, as described by the Arrhenius equation:

· Chemistry · Minimum Energy Threshold · Arrhenius Equation

Author Johnathan Clark 15 Aug, 2024

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Energy in the Sun's core is transferred outward through **radiative diffusion** in the inner regions, described by $\frac{\partial I}{\partial t} + c \mathbf{n} \cdot \nabla I = j - \alpha I$, and **convective transfer** in the outer layers, following $q = h_c A \Delta T$.

· Biology · Radiative Transfer · Convective Transfer

Author Rebecca Green 15 Aug, 2024

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$\text{Ar} > \text{Cl} > \text{P} > \text{Si} > \text{Mg} > \text{AI} > \text{Na}$ reflecting the trend in first ionization energy.

· Chemistry · Periodicity Trends In The Periodic Table · Atomic Structure And Shielding Effect

Author Johnathan Clark 15 Aug, 2024

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The only whole numbers that multiply to equal 11 are $1 \times 11$ and $11 \times 1$, though any nonzero real number $x$ and its counterpart $\frac{11}{x}$ will also work.

· Mathematics · Prime Numbers · Factor Pairs

Author Emily Rosen15 Aug, 2024

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