Question

The table below shows the energy of a 10 kg ball as a function of velocity. How much energy will the ball have at 10 m/s?

Answer 1

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, $E$ can be expressed as:

$E=kv^2\\Where\ k\rightarrow \textrm{constant of proportionality},v\rightarrow \textrm{velocity}$

To find the value of $k$, let us use the point (2,24). Therefore,

$24=k\times 2^2\\24=4k\\k=\frac{24}{4}=6$

So, the general formula to find the energy is given as:

$E=6\times v^2$

Now, for velocity equal to 10 m/s, energy is given as:

$E=6\times 10^2=6\times 100=600\ J$

Therefore, the ball will have 600 J of energy at 10 m/s.