Question

By what factor does the kinetic energy of a moving body change, if it is replaced by another body three times heavier and moving with twice its velocity?






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Answer 1

Answer:

Kinetic energy and mass have a direct proportionality, for example, doubling the mass will double the kinetic energy. However, we will notice that the velocity term is squared, this means that tripling the velocity (the speed), will actually increase the kinetic energy by 3 squared, or 9.

Explanation:

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Answer 2

Answer:

$よしおはようございます$

$\sf\mathbb\color{green} {mere \: real \: name \: }\sf\mathbb\color{blue} {yugant}\sf\mathbb\color{lightgreen} { \: hi \: hai \: }$

$\sf\mathbb\color{purple} {how \: are \: you \: : ) }$

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Initial kinetic energy $\sf\mathbb\color{lightblue} { = \frac{1}{2} {mv}^{2} }$

New kinetic energy $\sf\mathbb\color{red} { = \frac{1}{2}m \times {( \frac{v}{2} }^{2} )}$

$\sf\mathbb\color{green} { = \frac{1}{4} \times \frac{1}{2} {mv}^{2} } = \frac{1}{4} \times initial \: \sf\mathbb\color{red} {k} \: \sf\mathbb\color{green} {in \: etic \: energy}$

Thus, kinetic energy becomes $\sf\mathbb\color{blue} { \frac{1}{4} }th$ Of initial KE.