An object is moving to the west at a constant speed. three forces are exerted on the object. one force is 10 n directed due north and another is 10 n directed due west. what is the magnitude and direction of the third force if the object is to conitnue moving to the west at a constant speed

If the object is to conitnue moving to the west at a constant speed then the third force must be equal and opposite to the force . Therefore, the magnitude of the third force is 14.14 N and in the south-east direction.

Given :

Force acting on the block in north direction,

Force acting on the block in west direction,

Solution :

To find third force so that the object is to conitnue moving to the west at a constant speed we have to first find the resultant of

Now,

So, the resultant force acting is 14.14 N and in the north-west direction. If the object is to conitnue moving to the west at a constant speed then the third force must be equal and opposite to the force . Therefore, the magnitude of the third force is 14.14 N and in the south-east direction.

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it is the second option.