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# physics

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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?

Guest Jan 12, 2018

#1
+1602
+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
Sort:

#1
+1602
+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

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