i am not sure if i am correct.
A 650-N force acts in a northwesterly direction. A second 650-N force must be exerted in what direction so that the resultant of the two forces points westward?
A: southeasterly
It is from the southeasterly direction rite beacuse it forces the force to point towards the west.
Sorry, a South-Easterly force of 650 N will annul the North-Westerly force of 650 N completely. The resultant is zero.
For the resultant of the two forces to act westwards, their north-south components must be equal and opposite, and the west component must add to each other. Can you give another try?
Southwesterly? beacuse they equal one another?
Yes, the north-south components cancel each other, and the west-component add to each other.
Thanks for the help :)
can you help us out with one more question math mate?
Glad to do so.
Post the question and any available teacher will be able to help you.
Yes, you are correct. In order for the resultant of the two forces to point westward, the second force must be exerted in a southeasterly direction. Here's an explanation on how to arrive at this answer:
To find the direction of the second force, we need to determine the net or resultant force when the two forces are combined.
First, we represent the northwesterly force as a vector pointing in that direction, let's call it Force A. The magnitude of Force A is 650 N.
Next, we need to find a second force, let's call it Force B, that, when combined with Force A, will result in a westward force.
To find the resultant force, we can use vector addition. We place the two vectors head-to-tail and draw a vector from the tail of the first vector to the head of the second vector. This vector represents the resultant force.
Since we want the resultant force to point westward, we draw a vector pointing west.
Now, we need to find the direction from the tail of the first vector (Force A) to the head of the second vector (Force B). In this case, it is southeast because the angle between the northwest direction (Force A) and the west direction (resultant force) is 135 degrees (since the angle between north and west is 45 degrees).
To balance the forces and have a westward resultant vector, the second force (Force B) must be exerted in the opposite direction, which is the southeasterly direction (135 degrees from the north). Therefore, the second force should be exerted in a southeasterly direction.
So, the answer is indeed southeasterly.