dame la solucion solo las operaciones matematicas porfavor 

Aquí tienes solo las operaciones matemáticas necesarias para resolver el ejercicio:

1. **Cálculo de \( P_{\parallel} \)**:
   \[
   P_{\parallel} = 490 \times \sin(37^\circ)
   \]
   \[
   P_{\parallel} = 490 \times 0.6018
   \]
   \[
   P_{\parallel} = 294.882
   \]

2. **Cálculo de \( P_{\perp} \)**:
   \[
   P_{\perp} = 490 \times \cos(37^\circ)
   \]
   \[
   P_{\perp} = 490 \times 0.7986
   \]
   \[
   P_{\perp} = 391.314
   \]

3. **Cálculo de \( f \)**:
   \[
   f = 0.1 \times 391.314
   \]
   \[
   f = 39.1314
   \]

4. **Cálculo de la fuerza neta \( F_{\text{neta}} \)**:
   \[
   F_{\text{neta}} = 400 - 294.882 - 39.1314
   \]
   \[
   F_{\text{neta}} = 65.9866
   \]

5. **Cálculo del trabajo neto \( W_{\text{neta}} \)**:
   \[
   W_{\text{neta}} = 65.9866 \times 3
   \]
   \[
   W_{\text{neta}} = 197.9598
   \]

6. **Cálculo del trabajo realizado por la fuerza \( W_F \)**:
   \[
   W_F = 400 \times 3
   \]
   \[
   W_F = 1200
   \]

7. **Cálculo del trabajo realizado por el peso \( W_P \)**:
   \[
   W_P = -294.882 \times 3
   \]
   \[
   W_P = -884.646
   \]

8. **Cálculo del trabajo realizado por la fricción \( W_f \)**:
   \[
   W_f = -39.1314 \times 3
   \]
   \[
   W_f = -117.3942
   \]

Learn how to calculate work, forces, and energy in this advanced physics problem. Solve for net force, work done by applied force, work done by weight, and work done by friction using detailed mathematical formulas and trigonometric principles.

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