# Question #ae8e4

May 4, 2017

0.65 Meter

#### Explanation:

We know from conservation of energy that ,

${E}_{p} = {E}_{k}$
where,
${E}_{p}$ is potential energy
${E}_{k}$ is kinetic energy

similarly we can state from the above theorem that
$m g h = \frac{1}{2} m {v}^{2}$
It can be also written as
$m g h = \Delta {E}_{k}$

from above mentioned details we can conclude that

$\Delta {E}_{k} = 440 - 210 = 230 J$
and so we substitue in the above equation we get
$m g h = 230$

$10 \cdot 35 \cdot h = 230$
upon solving it we get 0.65 M