https://file.aiquickdraw.com/mathbot/file/1730168111182hm14qwk7.jpg

To solve this problem, let's break down the details in the image.

### Given:
1. **Masses**:
   - \( M_1 = 10 \, \text{kg} \)
   - \( M_2 = P \, \text{kg} \) (mass on the inclined plane)
   - \( M_3 = 15 \, \text{kg} \)
   - Note: \( P = 3 \times \text{NIM} + \text{last digit of NIM} \) — this requires knowing the NIM (student ID) number.
   
2. **Other Values**:
   - Gravitational acceleration \( g = 10 \, \text{m/s}^2 \).
   - The inclined plane angle (which we'll calculate if needed based on given triangle dimensions).
   - Coefficient of friction \( \mu = 0.1 \) between \( M_2 \) and the incline.

3. **Dimensions**:
   - Inclined plane's length = 5 m, height = 3 m.
   - Horizontal distance of \( M_3 \) from the inclined plane = 4 m.

### Questions to Solve:

#### (a) Acceleration, velocity, distance, and tension in the rope after 2 seconds from release.
To solve this:
   - We need to calculate the net force acting on the system (considering gravitational and frictional forces on \( M_2 \)) and apply Newton's second law.
   - Use kinematic equations to find velocity and distance after 2 seconds.

#### (b) Distance traveled by each mass after the rope on the right side breaks.
   - After the rope breaks, analyze each mass individually to find their respective distances traveled.

#### (c) Time and distance for \( M_1 \) and \( M_2 \) to stop momentarily after the rope breaks.
   - Calculate using the forces acting on \( M_1 \) and \( M_2 \) independently after separation.

#### (d) Distance covered by \( M_2 \) (mass \( P \)) after 4 seconds from the point it stops.

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I’ll need either the NIM value or more details on any assumptions you would like to use to proceed with calculations. Let me know if you'd like any specific question addressed first, or if you'd like a complete step-by-step solution. 

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Would you like detailed explanations for each question? 

### Related Questions:
1. How does the angle of incline affect the net force on \( M_2 \)?
2. How would a higher coefficient of friction influence the system's acceleration?
3. What role does tension play in determining the acceleration of interconnected masses?
4. How does Newton's second law apply to systems with multiple masses?
5. How can kinematic equations help in determining the distance traveled by each mass?

#### Tip:
Always draw free-body diagrams for each mass in a multi-body problem to visualize forces and simplify calculations.

Calculate the acceleration, velocity, distance, and tension in the rope after 2 seconds from release for a system of masses connected by a rope with given values of gravitational acceleration, mass, friction, and inclined plane dimensions.

Solve for acceleration, velocity, distance, and tension in a multi-mass system involving an inclined plane, friction, and gravitational force. Detailed step-by-step solutions for physics students in Grades 10-12.

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