Final answer:
The block with forces acting on it will accelerate to the right due to the net force; however, without knowing its initial velocity, it could be moving right, left, or be instantaneously at rest.
Step-by-step explanation:
Regarding the block of mass 2kg that is acted upon by two forces, 3N directed to the left and 4N directed to the right, we can analyze the block's motion by considering Newton's second law of motion. According to this law, the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m * a). The net force on the block can be determined by subtracting the force to the left from the force to the right since they are in opposite directions. Therefore, we have a net force of 1N to the right (4N - 3N = 1N), and we can calculate the acceleration by dividing the net force by the mass of the block.
The acceleration of the block can be calculated as:
a = F/m = 1N / 2kg = 0.5 m/s² to the right
So the block will accelerate to the right. However, without information on the starting velocity or the motion before the forces were applied, we cannot conclusively determine the direction of the block's motion. It could be moving to the right (if it was initially at rest or moving to the right), moving to the left (if it was moving to the left with enough velocity to overcome the acceleration), or be instantaneously at rest (if the initial velocity to the left was such that it's being cancelled by the acceleration to the right).