Answer:
a 20 kg stone traveling at 10 m/s.
Explanation:
In this case the Kinetic Energy (KE) is the energy processes due to the stone's motion. To calculate the energy you should apply the formula as follows:
[tex]KE=\frac{1}{2}m*v^{2}[\frac{kg*m^{2} }{s^{2} } =J][/tex]
Now, if you want to know what of the cases has the greatest kinetic energy, you need to calculate each one of these:
1. a 20 kg stone traveling at 10 m/s
[tex]KE=\frac{1}{2}(20* (10)^{2})=1000J[/tex]
2. a 40 kg stone traveling at 4 m/s
[tex]KE=\frac{1}{2}(40* (4)^{2})=320J[/tex]
3. a 30 kg stone traveling at 6 m/s
[tex]KE=\frac{1}{2}(30* (6)^{2})=540J[/tex]
4. a 40 kg stone traveling at 4 m/s
[tex]KE=\frac{1}{2}(50* (2)^{2})=100J[/tex]
Finally, if you compare the results of KE you could conclude that the greatest kinetic energy is 1000 J and correspond to 20 kg stone traveling at 10 m/s.
Rgds!
