Test

$Q=cm\Delta T [kcal]$

$c=0.548 [kJ/kg⋅K]$, $m=10 [kg]$, $\Delta T=25000-(273+20)=24707 [K]$

$Q=135394.36 [kJ]=32346.11 [kcal]$

$F=ma$

$F=650 [kN]=650000 [N]$, $m=10 [kg]$

$650000=10×a$

$a=65000 [m/s^2]$

$a_t=65000-9.81=64990.19 [m/s^2]$

$v=v_0+at=64990.19t [m/s]$
$s=v_0t+{1 \over 2}at^2=32495.095t^2 [m]$

$t≤30 [s]$

$v_{max}=1949705.7 [m/s]≒7018940.52 [km/h]$
$s_{max}=29245585.5 [m]≒29245.59 [km]$

$D_r=C_D{\rho v^2 \over 2}A$

$C_D=1.1$, $\rho =1.204 [kg/m^3]$, $v=64990.19t [m/s]$, $A=0.25×0.21=0.0525 [m^2]$

$D_r=1.1×1.204×0.0525×(64990.19t)^2÷2=146839904.40t^2 [N]$

$t=30$

$D_{r_{max}}=132155913963.19 [N]≒132155913.96 [kN]$

$E_k={1 \over 2}mv^2$
$E_p=mgh$
$\Delta U=\int {Fds}$

$E=E_k+E_p+\Delta U=({1 \over 2}10×(0)^2)+(10×9.81×1.5)+(650000×32495.095t^2)$
$=147.15+2112.47×10^8×t^2 [J]$

$E_{max}=19.01×10^{12} [J]$

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