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?

(0,0)
(2,24)
(3,54)
(6,216)
(10,e)

Answer 1

The ball will have 600 J of energy at 10 m/s.

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* 2^2\\24=4k\\k=(24)/(4)=6`

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

`E=6* v^2\\`

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

`E=6* 10^2=6* 100=600\ J`

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