Question

The instruments attached to a weather balloon have a mass of 5 kg. The balloon is released and exerts an upward force of 106 N on the instruments. The acceleration of gravity is 9.8 m/s 2 . What is the acceleration of the balloon and the instruments? Answer in units of m/s 2

Answer 1

Acceleration,
`a=11.4\ m/s^2`

Step-by-step explanation:

It is given that,

Mass of the balloon, m = 5 kg

Upward force acting on it, F = 106 N

Acceleration due to gravity,
`a=9.8\ m/s^2`

As the accelerating upward, the net force acting on it is given by :

`F_(net)=F-mg`

`ma=F-mg`

a is the acceleration of the balloon and the instruments

`a=(F-mg)/(m)`

`a=(106-5* 9.8)/(5)`

`a=11.4\ m/s^2`

So, the acceleration of the balloon and the instrument is
`11.4\ m/s^2`. Hence, this is the required solution.

Answer 2

acceleration of the balloon is 11.4 m/s²

and

The instruments accelerate downwards at 9.8 m/s²

Step-by-step explanation:

given data

mass = 5 kg

force = 106 N

acceleration of gravity = 9.8 m/s²

to find out

the acceleration of the balloon and the instruments

solution

we find weight of the instruments that is

weight W = mg

here m is mass and g is acceleration of gravity

W = 5 ×9.8

weight W = 49 N

and

so net upward force on the instruments is

net upward force F = 106 - 49

net upward force F = 57 N

and

The acceleration of the balloon is

Force = ma

57 = 5 a

a = 11.4 m/s²

acceleration of the balloon is 11.4 m/s²

and

The instruments accelerate downwards at 9.8 m/s²