Question

An airplane accelerates on the runway at $3.0m{s}^{-2}$. It has two engines which exert a total thrust of $3.0\times$ ${10}^{5}N$. What is the mass of this airplane?

• A. $0.5\times$ ${10}^{5}kg$
• B. $2.0\times$ ${10}^{5}kg$
• C. $3.0\times$ ${10}^{5}kg$
• D. $1.0\times$ ${10}^{5}kg$

Answer 1

The correct option is D

$1.0\times$ ${10}^{5}kg$

Force = mass $\times$ acceleration

Thrust = mass $\times$ acceleration

Acceleration = $3.0m{s}^{-2}$

Total Thrust = $3.0\times$ ${10}^5$ N

$3.0\times$ ${10}^5$ N = $m\times$ $3.0m{s}^{-2}$

$m=1\times$ ${10}^{5}kg$