Menu Close

Question-226514




Question Number 226514 by Tawa11 last updated on 01/Dec/25
Answered by fantastic2 last updated on 02/Dec/25
E_p_(box)  =mgh  when box hits ground   E_k =E_p =mgh  (1/2)mv^2 =mgh  ⇒v=(√(2gh))=(√(2×9.8×30))=(√(2×2×49×3))=14(√3)ms^(−1)
$${E}_{{p}_{{box}} } ={mgh} \\ $$$${when}\:{box}\:{hits}\:{ground}\: \\ $$$${E}_{{k}} ={E}_{{p}} ={mgh} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}{mv}^{\mathrm{2}} ={mgh} \\ $$$$\Rightarrow{v}=\sqrt{\mathrm{2}{gh}}=\sqrt{\mathrm{2}×\mathrm{9}.\mathrm{8}×\mathrm{30}}=\sqrt{\mathrm{2}×\mathrm{2}×\mathrm{49}×\mathrm{3}}=\mathrm{14}\sqrt{\mathrm{3}}{ms}^{−\mathrm{1}} \\ $$
Commented by Tawa11 last updated on 02/Dec/25
Thanks sir.
$$\mathrm{Thanks}\:\mathrm{sir}. \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *