Answered

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13) The Blue Whale is the largest animal to have ever lived. As an adult it is as long as threeschool buses added together. A 170,000 kg Blue Whale cruises along at a modest pace. Withas 890,000 Joules of kinetic energy, what is its cruising speed?

Sagot :

To find the speed, we have to use the kinetic energy definition

[tex]K=\frac{1}{2}\cdot m\cdot v^2[/tex]

Where K = 890,000 Joules and m = 170,000 kg. Let's replace these values and solve for v

[tex]\begin{gathered} 890,000J=\frac{1}{2}\cdot170,000\operatorname{kg}\cdot v^2 \\ 890,000\cdot2J=170,000\operatorname{kg}\cdot v^2 \\ \frac{1,780,000}{170,000}m^2/s^2=v^2 \\ v^2\approx10.5m^2/s^2 \\ v\approx\sqrt[]{10.5m^2/s^2} \\ v\approx3.2m/s \end{gathered}[/tex]

Hence, its cruising speed is around 3.2 meters per second.

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