Question #4ea42

1 Answer
Jan 20, 2018

Net force = 0 Newtons.

Explanation:

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Net force can be calculated by finding the sum of all forces acting on the object, though they must all be in the same direction.

The forces listed are:
A = 5N [Left]
B = 5N [Right]
C = 75N [Left]
D = 75N [Right]

First, we convert all the vectors to the same direction. 5N [Left] is equivalent to -5N [Right]. Using this principle, we can convert all the vectors to have the same direction. In this example I used right, though left would work just the same.

A = -5N [Right]
B = 5N [Right]
C = -75N [Right]
D = 75N [Right]

Then we find the sum of all the forces.

#"Fnet" = (-5"N") + 5"N" + (-75"N") + 75"N"#
#"Fnet" = 0"N"#

In this example, all the forces cancel out, so the net force acting on the box is 0 newtons. (This means the box would remain at rest, or at least not accelerate.)

This same method could be applied to the hot air balloon question, given the forces. If the net force is not 0, then object will be accelerating.

Assuming the force of tension pulling up on the basket by the hot air balloon is equivalent to the force of gravity pulling down on the basket, the hot air balloon would hover, not accelerating up or down. Note that if the hot air balloon was already moving up or down, it would continue moving in that direction until the net force is no longer 0.