Answer:
600 J
Explanation:
Energy is proportional to the square of the velocity of a body.
From the table, when the velocity is 2 m/s, then the energy is 24 J.
If we take the square of the velocity,we get [tex]2^2=4[/tex]. So, we need to multiply 4 to 6 to get the energy equal to 24 as [tex]4\times 6=24[/tex]. Similar formula can be observed for the next value also.
For velocity equal to 3 m/s, the energy is given as:
[tex]E=6\times 3^2=6\times 9=54\ J[/tex].
Therefore, the general formula to find the energy is given as:
[tex]E=6\times v^2\\Where\ E\rightarrow \textrm{energy of the ball},\ v\rightarrow \textrm{velocity}[/tex]
Now, for velocity equal to 10 m/s, energy is given as:
[tex]E=6\times 10^2=6\times 100=600\ J[/tex]
Therefore, the ball will have 600 J of energy at 10 m/s.
