Answer:
The ball will have 600 J of energy at 10 m/s.
Step-by-step explanation:
The energy possessed by a body is proportional to the square of its velocity.
So, Energy, [tex]E[/tex] can be expressed as:
[tex]E=kv^2\\Where\ k\rightarrow \textrm{constant of proportionality},v\rightarrow \textrm{velocity}[/tex]
To find the value of [tex]k[/tex], let us use the point (2,24). Therefore,
[tex]24=k\times 2^2\\24=4k\\k=\frac{24}{4}=6[/tex]
So, the general formula to find the energy is given as:
[tex]E=6\times v^2\\[/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.
