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En el gráfico mostrado, solo actúan fuerzas conservativas, determine la EC del deportista en el 
punto B

To solve the problem and find the kinetic energy \( E_C \) at point B, we can apply the principle of conservation of mechanical energy.

### Given Data:
- Kinetic energy at point A, \( E_{C_A} = 40 \, \text{J} \)
- Potential energy at point A, \( E_{PG_A} = 160 \, \text{J} \)
- Total mechanical energy at point A: 
\[
E_{M_A} = E_{C_A} + E_{PG_A} = 40 \, \text{J} + 160 \, \text{J} = 200 \, \text{J}
\]
- At point B, the skier has some kinetic energy \( E_{C_B} \), and no potential energy (since point B is at the lowest point of the path).

### Applying Conservation of Mechanical Energy:
Mechanical energy is conserved because only conservative forces are acting. Therefore, the total mechanical energy at point B is the same as that at point A:
\[
E_{M_B} = E_{M_A} = 200 \, \text{J}
\]
Since at point B there is no potential energy ( \( E_{PG_B} = 0 \) ), the total mechanical energy is entirely kinetic:
\[
E_{C_B} = E_{M_B} = 200 \, \text{J}
\]

Thus, the kinetic energy at point B is \( E_{C_B} = 200 \, \text{J} \).

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### Relative Questions:
1. How does the conservation of mechanical energy apply in this situation?
2. What would happen to the kinetic energy if non-conservative forces like friction were involved?
3. Can we determine the velocity of the skier at point B using the kinetic energy?
4. How does the change in height affect potential energy in this case?
5. How would the result change if the skier were at a different height at point B?

**Tip:** Always check whether forces like friction or air resistance are acting, as they can alter the conservation of mechanical energy.

En el gráfico mostrado, solo actúan fuerzas conservativas, determine la EC del deportista en el punto B

In this problem, we calculate the kinetic energy (EC) of a skier at point B using the principle of conservation of mechanical energy. Given the kinetic and potential energy values at point A, we determine that the kinetic energy at point B is 200 J. Suitable for high school students learning about energy conservation.

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