The instruments attached to a weather bal-
loon have a mass of 4.6 kg. The balloon is
released and exerts an upward force of 107.8 N
on the instruments.
The acceleration of gravity is 9.8 m/s2 .
What is the acceleration of the balloon and
the instruments?
Answer in units of m/s2

Question

The instruments attached to a weather bal-
loon have a mass of 4.6 kg. The balloon is
released and exerts an upward force of 107.8 N
on the instruments.
The acceleration of gravity is 9.8 m/s2 .
What is the acceleration of the balloon and
the instruments?
Answer in units of m/s2

***[isuru]*** · Answer

Hi,
    Let's assume the mass of air balloon is negligible.

So there's a force of 45.08 N (weight of the instrument) which acts towards the earth while the air balloon exerts a force 107.8 N in opposite direction.
     If we consider the air balloon and the instrument as a one system then there's a 46 N od downward force and 107.8 N of upward force.
    Therefor the resultant force will be a  (109.7 - 45.08) N which acts upward

         With the use of formula
                          F = ma
                    62.72= 45.08* a
                           a = 1.391 m/s^2
 That's it  the balloon and the instrument will accelerate by 1.391 m/s^2

anonymous · Answer

why do you use 45.08 for the weight when you already took it out... why don't you just use 4.6 as the mass? @***[ISURU]***