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)

Question

asked Jun 14, 2020 223k views

1 Answer

Yanis Boucherit · Answer 1 · 2020-06-19T14:07:48+0000

Answer:

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,
can be expressed as:

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

To find the value of
, 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.