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

 Jan 12, 2018

Best Answer 

 #1
avatar+2341 
+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.
\(m=\frac{23610*2}{961}\approx49.14kg\)  
   
 Jan 12, 2018
 #1
avatar+2341 
+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

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