Question Number 64092 by aliesam last updated on 13/Jul/19
$${prove}\:{that}\: \\ $$$${u}={mgh} \\ $$
Answered by ajfour last updated on 13/Jul/19
$$\bigtriangleup{U}=−{W}_{{g}} \\ $$$${U}−\mathrm{0}=−\int_{\mathrm{0}} ^{\:\bar {{s}}} \left({m}\bar {{g}}.{d}\bar {{s}}\right) \\ $$$${U}=\:−\int_{\mathrm{0}} ^{\:{h}} \left(−{mgds}\right) \\ $$$${U}=\:{mgh}\:. \\ $$