an adult cheetah can run at a top speed of approximately 31m/s. if its kinetic energy is 23610J, what is its mass?

Guest Jan 12, 2018

#1**+1 **

There is a special formula that will aide us in this problem. It is the following:

\(K=\frac{1}{2}mv^2\)

K = the kinetic energy, in joules

m = the mass, in kilograms

v = velocity in meters per second

We have all that information already! Let's use it to find the mass of this cheetah.

\(23610=\frac{1}{2}m(31)^2\) | Let's do some simplification. |

\(23610=\frac{961}{2}m\) | Multiply the right hand side by \(\frac{2}{961}\) to obtain the mass, in kilograms. |

\(m=\frac{23610*2}{961}\approx49.14kg\) | |

TheXSquaredFactor
Jan 12, 2018

#1**+1 **

Best Answer

There is a special formula that will aide us in this problem. It is the following:

\(K=\frac{1}{2}mv^2\)

K = the kinetic energy, in joules

m = the mass, in kilograms

v = velocity in meters per second

We have all that information already! Let's use it to find the mass of this cheetah.

\(23610=\frac{1}{2}m(31)^2\) | Let's do some simplification. |

\(23610=\frac{961}{2}m\) | Multiply the right hand side by \(\frac{2}{961}\) to obtain the mass, in kilograms. |

\(m=\frac{23610*2}{961}\approx49.14kg\) | |

TheXSquaredFactor
Jan 12, 2018