The mass of m1 is 8kg and the mass of m2 is 2kg The cofficent of kinetic friction between the block and the incline is 0 2 and the plane rise 25 digree from the horizontal .Find the acceleration ?

To find the acceleration of the system, we first need to calculate the net force acting on the system.

The forces acting on the system are:
1. The force of gravity acting on m1 (mg1) = 8kg * 9.8m/s^2 = 78.4N
2. The force of gravity acting on m2 (mg2) = 2kg * 9.8m/s^2 = 19.6N
3. The normal force acting on the system (perpendicular to the incline) = mg1 * cos(25 degrees) = 78.4N * cos(25) = 70.6N
4. The force of friction acting on the system = coefficient of kinetic friction * normal force = 0.2 * 70.6N = 14.12N
5. The force parallel to the incline = mg1 * sin(25 degrees) = 78.4N * sin(25) = 33.2N

The net force acting on the system is:
F_net = Force parallel to the incline - Force of friction
F_net = 33.2N - 14.12N
F_net = 19.08N

Now, we can calculate the acceleration of the system using Newton's second law:
F_net = (m1 + m2) * a
19.08N = (8kg + 2kg) * a
19.08N = 10kg * a
a = 1.908 m/s^2

Therefore, the acceleration of the system is 1.908 m/s^2.