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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

Respuesta :

Answer:

Toward the north, 300 N

Explanation:

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

Given:

Mass of the balloon is, [tex]m=300\ kg[/tex]

Lift force on the balloon in the upward direction is, [tex]F_L=3300\ N[/tex]

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, [tex]W=mg=(300\ kg)(10\ N/kg)=-3000\ N[/tex]

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

[tex]F_{net}=F_L+W\\F_{net}=3300-3000=300\ N(\textrm{Upward direction})[/tex]

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