Ababy elephant is stuck in a mud hole. to pull it out, game keepers use a rope to apply force a, as part
(a) of the drawing shows. by itself, however, force a is insufficient. therefore, two additional forces b and c are applied, as in part
(b) of the drawing. each of these additional forces has the same magnitude f and is oriented at θ = 19.5° away from a. the magnitude of the resultant force acting on the elephant in part (b) of the drawing is three times that in part a. find the ratio f / fa.

The ratio is 1:1

Explanation:

Firstly we are told the in (a) we have a force which A given to be: FA

We are then told the are two other forces which a B and C which are equal.

These forces are given to be F and 19.5° away from A.

We are then told that the force on the elephant is now three times, of what it was when we only had force A.

Since we are told that B and C are eqaula.

If we say FA = 2N

Then in order for it to be three times, we would have to add 4N since it was the only force present at the time.

If we add two equal forces, then we can devide that 4 by 2.

We then find out that F =2N

and thus equal to FA.

Therefore the ratio of F/FA is

!:1