an adult cheetah can run at a top speed of approximately 31m/s. if its kinetic energy is 23610J, what is its mass?
+2440 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. |
| \(m=\frac{23610*2}{961}\approx49.14kg\) | |
+2440 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. |
| \(m=\frac{23610*2}{961}\approx49.14kg\) | |
