Energy

The concept of energy is a cornerstone in the study of physics, symbolizing the potential to execute work. It manifests in a diversity of forms such as kinetic, potential, thermal, gravitational, sound, light, and electrical energy. Energy adheres to the principle of conservation - it can neither be generated nor obliterated, merely transferred or converted.

Finding Kinetic Energy

A $25 \mathrm{~mm}$ diameter glass marble with a mass of $17 \mathrm{~g}$ rolls without slipping down a track toward a vertical loop of radius $R=13 \mathrm{~cm}$, as shown in the figure. Approximate the minimum translational speed $v_{\min }$ the marble must have in order to complete the loop without falling off the track when it is a height $H=23 \mathrm{~cm}$ above the bottom of the loop.
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Finding Power

A car with mass of $1120 \mathrm{~kg}$ accelerates from $0 \mathrm{~m} / \mathrm{s}$ to $40.0 \mathrm{~m} / \mathrm{s}$ in $10.0 \mathrm{~s}$. Ignore air resistance. The engine has a $22.0 \%$ efficiency, which means that $22.0 \%$ of the energy released by the burning gasoline is converted into mechanical energy. What is the average mechanical power output of the engine? $\mathrm{KW}$
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