Закон сохранения момента импульса
mv0r0=mvr
закон сохранения энергии
mv0^2/2+mgh0=<span>mv^2/2+mgh
</span>из подобия треугольников r0/h0=r/h
***************
<span>mv0r0=mvr
</span>mv0^2/2+mgh0=<span>mv^2/2+mgh
</span><span> r0/h0=r/h
</span>************
<span>v0/v = r/r0
</span>mv0^2/2+mgh0=<span>mv^2/2+mgh
</span><span>h/h0=r/r0
</span><span>************
</span>v0/v = h/h0
mv0^2/2+mgh0=<span>mv^2/2+mgh
</span>************
v0=v*h/h0
(h/h0)^2*v^2/2+gh0=v^2/2+gh
***********
v0=v*h/h0
v^2=2g(h-h0)/((h/h0)^2-1)
***********
v^2=2g(h-h0)*h0^2/(h^2-h0^2)=<span>2g*h0^2/(h-h0)
</span><span>v0=v*h/h0
</span>v0^2=<span>2g*h^2/(h-h0)</span>
H=t*v=5*<span>343 м =</span><span>
1715
</span>м ~ 1,7 км
S=аt2/2
2S=аt2
t2=2S/а
t=корень(2S/а)
t=корень(2*<span>532</span>/10)=10с