Answer:
a 20 kg stone traveling at 10 m/s.
Step-by-step 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:
![KE=(1)/(2)m*v^(2)[(kg*m^(2) )/(s^(2) ) =J]](https://img.qammunity.org/2020/formulas/chemistry/middle-school/qb1my17ri3e3hs9szkfzt6v75l42jkme3r.png)
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
![KE=(1)/(2)(20* (10)^(2))=1000J](https://img.qammunity.org/2020/formulas/chemistry/middle-school/fx7gde9dpu6sppm6yhrt79vl998b3uphdv.png)
2. a 40 kg stone traveling at 4 m/s
![KE=(1)/(2)(40* (4)^(2))=320J](https://img.qammunity.org/2020/formulas/chemistry/middle-school/kxl30qb973x6inypmxe9ubne6vndhg90z6.png)
3. a 30 kg stone traveling at 6 m/s
![KE=(1)/(2)(30* (6)^(2))=540J](https://img.qammunity.org/2020/formulas/chemistry/middle-school/320jjzoz4w69llosiz6305qx2y2jjqnj22.png)
4. a 40 kg stone traveling at 4 m/s
![KE=(1)/(2)(50* (2)^(2))=100J](https://img.qammunity.org/2020/formulas/chemistry/middle-school/7jf2q1rrpv0vpbco4gm8c7anndzkezi8dq.png)
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!