Answer:
Step-by-step explanation:
In order to determine the acceleration, we need to calculate the net force acting on the box.
Given:
Force 1 = 4 N
Force 2 = 10 N
Mass of the box = 2 kg
The net force can be calculated by adding up all the forces acting on the box:
Net force = Force 1 + Force 2
Net force = 4 N + 10 N
Net force = 14 N
The acceleration can be calculated using Newton's second law:
Net force = mass × acceleration
14 N = 2 kg × acceleration
Solving for acceleration:
acceleration = 14 N / 2 kg
acceleration = 7 m/s^2
Therefore, the acceleration of the box is 7 m/s^2.
Now, let's determine the direction of motion of the box. To do this, we need to compare the magnitudes of the two forces acting on the box.
Force 1 = 4 N
Force 2 = 10 N
Since the magnitude of Force 2 is greater than that of Force 1, the box will move in the direction of Force 2. Therefore, the direction of motion of the box is in the same direction as Force 2, which is determined by the given information.