32.9k views
4 votes
One of the largest planes ever to fly, and the largest to fly frequently, is the Ukrainian-built Antonov An-124 Ruslan. The gravitational potential energy associated with the plane at an altitude of 1450 m is 3,360,000,000 J. What is the airplane's mass?​

User Dewtell
by
6.0k points

1 Answer

2 votes

Answer:

m = 236212 [kg]

Step-by-step explanation:

The potential energy can be determined by means of the product of mass by gravity by height. In this way, we have the following equation.


P=m*g*h\\

where:

P = potential energy = 3360000000 [J]

m = mass [kg]

g = gravity acceleration = 9.81 [m/s²]

h = elevation = 1450 [m]

Now, we can clear the mass from the equation above:


3360000000=m*9.81*1450\\m = 236212 [kg]

User Bobort
by
4.6k points