Two forces, of magnitude 4N4N and 10N10N, are applied to an object. The relative direction of the forces is unknown. The net force acting on the object __________. Check all that apply.

There is literally a wide range of directions that the two force could be facing. That is, the angle between the line of action of the two forces can literally range from 0° to 180°. With the net force between them ranging from when the angle between the two forces is 180° and they point to the opposite directions with resultant equal to (10 - 4 = 6N) to when the angle between the two forces is ° and they point in the same direction and the resultant between them has a maximum magnitude of (10+4 = 14 N)

One of the forces might also act in a direction where it won't effect the resultant and the resultant is either one of the two forces. Hence it can take on values of 10 N and 4 N

So, option B isn't correct as the resultant can take on the value of 10 N.

Option C isn't correct either as the resultant would most likely than not end up in the same direction as the 10 N force.

Then, the last option isnt correct too, as the magnitude of the resultant can be lower than 10 (like I pointed out when the forces are acting in opposite directions)

Only option A is correct as all through the ranges possible, there's no way one of the many options ends up with a resultant of magnitude 5N.

topeadeniran2 topeadeniran2 · Answer 2 · 2021-10-28T18:41:35+02:00

Since the forces that are applied to the object are 4N and 10N, then the net force that's acting on the body can't have a magnitude that's equal to 5N.

Since we have been given forces of 4N and 10N, then the resultant when they point to opposite directions will be: (10N - 4N) = 6N.

On the other hand, when they face the same direction, the resultant will be:

= (10N + 4N) = 14N

Based on the information illustrated above, the net force that's acting on the object can have a magnitude equal to 10N. It can have the same direction as the force with a magnitude of 10N

In conclusion, the net force that's acting on the body can't have a magnitude that's equal to 5N.

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