2. A car of mass $$ m $$ is moving with a momentum $$ p $$. How would you represent its kinetic energy in terms of these two quantities? A. $$ p^{2} / 2 m $$ B. $$ 1 / 2 p^{2} m $$ C. pm D. $$ \mathrm{pm} / 2 $$

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Momentum $$ p $$ is defined as $$ p = mv $$, where $$ m $$ is mass and $$ v $$ is velocity. Kinetic energy $$ KE $$ is given by the formula $$ KE = \frac{1}{2} mv^2 $$. We can express $$ v $$ in terms of $$ p $$ to find the kinetic energy in terms of $$ p $$ and $$ m $$.
From the momentum equation, we can express velocity as $$ v = \frac{p}{m} $$.
Substituting $$ v $$ into the kinetic energy formula gives us:
$$
KE = \frac{1}{2} m \left(\frac{p}{m}\right)^2 = \frac{1}{2} m \cdot \frac{p^2}{m^2} = \frac{p^2}{2m}
$$
The kinetic energy in terms of momentum $$ p $$ and mass $$ m $$ is represented as $$ \frac{p^{2}}{2m} $$, which corresponds to option A.

A car of mass is moving with a momentum . How would you represent its kinetic energy in terms of these two quantities?
A.
B.
C. pm
D.

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A car of mass is moving with a momentum . How would you represent its kinetic energy in terms of these two quantities? A. B. C. pm D.