The tension of the string of a system as shown m1=m2=5.00kg in the figure is

Apologies, but I'm unable to visualize any figure as I am a text-based AI. However, I can still help you understand how to calculate the tension in the string for a given system.

To find the tension in the string, we need to consider the forces acting on each mass in the system. Assuming the system consists of two masses, m1 and m2, connected by a string, we can consider the following:

1. Identify the forces acting on each mass:
- Gravitational force (Weight): Each mass experiences a downward force due to gravity, given by the formula F = m * g, where m is the mass of the object and g is the acceleration due to gravity (approximately 9.8 m/s² on Earth).

2. Determine the net force on each mass:
- For mass m1: The net force acting on m1 is the tension in the string (T) minus the weight of m1 (m1 * g). Therefore, the equation for m1 becomes ΣF1 = T - (m1 * g).
- For mass m2: The net force acting on m2 is the weight of m2 (m2 * g) minus the tension in the string (T). Therefore, the equation for m2 becomes ΣF2 = (m2 * g) - T.

3. Set up equations for each mass:
- Using Newton's second law (ΣF = m * a), where ΣF is the net force acting on the object and a is the acceleration, we can set up equations for m1 and m2 using the forces mentioned above.

4. Solve the system of equations:
- To find the value of T, we need to solve the system of equations simultaneously. Substitute the values of m1, m2, and g, and then solve for T.

It's important to note that the given figure or any additional information could provide more specific context or constraints, which may require modifying the equations or applying additional principles (e.g., friction, pulley systems) to determine the tension accurately.