Explanation:

Given:
- Mass of the sphere, m
- Force applied by one of the springs, F = 7 N

Equilibrium Condition:
In order to keep the sphere in equilibrium, the net force acting on it must be zero. This means that the sum of the forces applied by all the springs must balance the gravitational force on the sphere.

Force Applied by Springs:
The force applied by a spring can be calculated using Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position.

Acceleration of the Sphere:
When one of the springs is cut, the force applied by that spring is removed. This will result in an imbalance of forces, causing the sphere to accelerate in the direction opposite to the force previously applied by the cut spring.

To determine the acceleration of the sphere, we need to consider the net force acting on it. Since only one spring is cut, the net force can be calculated by subtracting the force previously applied by the cut spring from the sum of the forces applied by the other springs.

Steps to Calculate the Acceleration:
1. Identify the forces applied by all the springs except the cut one.
2. Calculate the net force by summing up these forces and subtracting the force previously applied by the cut spring.
3. Apply Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
4. Use the equation F = ma to calculate the acceleration of the sphere.

Conclusion:
Once the particular spring is cut, the sphere will experience an acceleration determined by the net force acting on it. The acceleration can be calculated by summing up the forces applied by all the other springs and subtracting the force previously applied by the cut spring. The mass of the sphere is also a factor in determining the acceleration, as per Newton's second law of motion.