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

Answer:

acceleration of the balloon is 11.4 m/s²

and

The instruments accelerate downwards at 9.8 m/s²

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

Answer 2

Answer:

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

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

$a=\dfrac{F-mg}{m}$

$a=\dfrac{106-5\times 9.8}{5}$

$a=11.4\ m/s^2$

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