Calculating Buoyant Force of Balloon System

[2much]

Homework Statement

A hot air balloon experiences an acceleration of 110 m/s2 [down]. The total mass of the balloon is 315kg
What is the buoyant force of the system?

a_balloon = 110m/s²
a_gravity = 9.8m/s²
m_total = 315

Homework Equations

F_gravity = 315 * 9.8 = 3087
F_net = 315 * 110 = 34650

The Attempt at a Solution

-F_up + F_gravity = F_net
-F_up + 3087 = 34650
-F_up = 34650 - 3087
-F_up = 31563

Which is not the answer 274 N up

 

[gneill]

Seriously? A hot air balloon accelerating at a rate of 110 m/s^2? That's about 11 g's. The air force is going to want to know about this! Maybe NASA!

Better check the numbers given in the problem statement.