Question

8. If the mass of a balloon is 300 kg and the lift force provided by the atmosphere is 3300 N, what

is the net force on the balloon?
Toward the north, 300 N
Toward the east, 360 N
Upward, 360 N
Downward, 300 N

Answer 1

Toward the north, 300 N

Step-by-step explanation:

Consider the upward direction as positive and downward direction as negative.

Given:

Mass of the balloon is,
`m=300\ kg`

Lift force on the balloon in the upward direction is,
`F_L=3300\ N`

Take acceleration due to gravity as 10 N/kg.

Now, weight of the balloon acting downward is given as the product of its mass and acceleration due to gravity. Therefore,

Weight is,
`W=mg=(300\ kg)(10\ N/kg)=-3000\ N`

Now, net force is given as the vector sum of both the forces.

`F_(net)=F_L+W\\F_(net)=3300-3000=300\ N(\textrm{Upward direction})`

The upward direction is the direction of North. So, the net force acting on the balloon is 300 N towards North.