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The problem provided in the image states:

"A soldier with a mass of 140 kg climbs a rope into a helicopter in 12 minutes, from the top of a building. The height of the building is 150 meters, and the helicopter is 25 meters above the building. The power exerted by the soldier (in watts) is:"

### Solution:
1. **Total height climbed**: The soldier climbs from the top of the building (150 m) to the helicopter, which is 25 m above the building. Thus, the total height \( h \) is:
   \[
   h = 150 \, \text{m} + 25 \, \text{m} = 175 \, \text{m}
   \]

2. **Work done**: The work \( W \) done by the soldier to climb this height is equal to the gravitational potential energy gained, which is given by:
   \[
   W = mgh
   \]
   where:
   - \( m = 140 \, \text{kg} \) is the mass of the soldier,
   - \( g = 9.8 \, \text{m/s}^2 \) is the acceleration due to gravity,
   - \( h = 175 \, \text{m} \) is the height climbed.

   Substituting the values:
   \[
   W = 140 \times 9.8 \times 175 = 239,400 \, \text{J}
   \]

3. **Time**: The soldier takes 12 minutes to climb. We convert this to seconds:
   \[
   t = 12 \times 60 = 720 \, \text{seconds}
   \]

4. **Power**: Power \( P \) is the rate of doing work, so:
   \[
   P = \frac{W}{t}
   \]
   Substituting the values:
   \[
   P = \frac{239,400}{720} \approx 332.5 \, \text{watts}
   \]

### Final Answer:
The soldier's power is approximately **332.5 watts**.

Would you like further details or clarifications on any part of this calculation?

Here are five related questions to further explore the topic:
1. How would the power change if the soldier climbed the rope in 6 minutes instead of 12?
2. What happens to the power if the soldier's mass is reduced by half?
3. How would the calculation differ if the height of the helicopter was lower, say 10 meters above the building?
4. Can you calculate the total mechanical energy required if the soldier was also carrying additional weight, like equipment?
5. How does the gravitational acceleration factor affect power output in other environments (e.g., on the Moon)?

### Tip:
Power is always the energy divided by time, so reducing the time taken for a task increases the power output!

A soldier with a mass of 140 kg climbs a rope into a helicopter in 12 minutes, from the top of a building. The height of the building is 150 meters, and the helicopter is 25 meters above the building. The power exerted by the soldier (in watts) is:

Calculate the power exerted by a soldier of mass 140 kg climbing a rope into a helicopter 25 meters above a 150-meter building in 12 minutes. Learn key concepts of energy, power, and gravitational potential energy, suitable for Grades 10-12.

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