How fast should a cat of mass 15 kg run in order to have a kinetic energy of 120 J?
4 m/s
To determine the speed a cat of mass 15 kg should run to attain a kinetic energy of 120 J, we use the kinetic energy formula:
KE = \(\frac{1}{2}mv^2\)
where KE is kinetic energy, \(m\) is mass, and \(v\) is velocity. We need to solve for \(v\).
First, substitute the given values:
120 = \(\frac{1}{2} \times 15 \times v^2\)
Simplify the equation:
120 = 7.5\(v^2\)
Divide both sides by 7.5:
\(v^2 = \frac{120}{7.5}\)
\(v^2 = 16\)
Take the square root of both sides to find \(v\):
\(v = \sqrt{16}\)
\(v = 4 \text{ m/s}\)
Thus, the cat should run at a speed of 4 m/s to have a kinetic energy of 120 J.
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