Question

Which airplane has more potential energy, a boeing 787 dreamliner having a mass of 2,450kg at 11,500 m above Earth, or a boeing 747 having a mass of 3150 kg at 9000 m above Earth?

Answer 1

Explanation:

For 787 dreamliner airplane,

Mass, $m_1=2450\ kg$

Height, $h_1=11500\ m$

Potential energy of 787 dreamliner airplane is given by :

$E_1=m_1gh_1\\\\E_1=2450\times 9.8\times 11500\\\\E_1=2.76\times 10^8\ J$

For a boeing 747,

Mass, $m_2=3150\ kg$

Height, $h_2=9000 \ m$

:

Potential energy of a boeing 747 airplane is given by

$E_2=m_2gh_2\\\\E_2=3150\times 9.8\times 9000\\\\E_2=2.77\times 10^8\ J$

So, the potential energy of a boeing 747 airplane is more than the 787 dreamliner airplane.