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Given that the original question contains significant errors and lacks clarity, it will be rewritten for better understanding and accuracy:

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A woman has a kinetic energy of 2500 joules.

1. What is her kinetic energy when it is reduced by 2500 joules?
2. What is her potential energy when her kinetic energy is 1000 joules?
3. If the woman was wearing a parachute, how might that affect her kinetic energy?

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Note: The original text mentioned multiple unrelated and confusing statements about kinetic energy. The question has been revised to focus on kinetic energy reduction, potential energy calculation, and the effect of a parachute on kinetic energy.


Sagot :

Let's break down the problem step by step, based on the provided information and results.

1. Total Energy Calculation:
- The woman initially has a kinetic energy (KE) of 2500 joules.
- Potential energy (PE) at this point is given as 0 joules (assuming she is at the lowest possible point where all energy is kinetic).
- Therefore, the total mechanical energy (E) is KE_initial + PE_initial, which is [tex]\(2500 \text{ joules} + 0 \text{ joules} = 2500 \text{ joules}\)[/tex].

2. Kinetic Energy Change:
- The question states the woman's kinetic energy reduces to 1000 joules.
- Since total energy is conserved, the remaining energy must be converted into potential energy.

3. Potential Energy Calculation:
- Originally, the total mechanical energy is 2500 joules.
- When the kinetic energy is 1000 joules, the potential energy (PE_final) can be found using the conservation of energy. The total energy remains constant and is [tex]\(2500 \text{ joules}\)[/tex].
- So, [tex]\( \text{PE_final} = \text{Total Energy} - \text{KE_final} \)[/tex].
- Plugging in the values, [tex]\( \text{PE_final} = 2500 \text{ joules} - 1000 \text{ joules} = 1500 \text{ joules} \)[/tex].

Therefore, when the woman's kinetic energy is 1000 joules, her potential energy is 1500 joules.

4. Effect of a Parachute:
- A parachute increases air resistance or drag. This reduces the speed at which the woman falls.
- As kinetic energy is proportional to the square of speed ([tex]\(KE = \frac{1}{2} mv^2\)[/tex]), reducing the speed reduces the kinetic energy.
- When using a parachute, the woman's descent is slower, and thus, her kinetic energy will be lower compared to a situation without a parachute.
- This change would result in a higher potential energy at the same point in the descent, reflecting the slower speed and reduced kinetic energy.

In summary:
- Total mechanical energy is 2500 joules.
- Initial kinetic energy is 2500 joules with zero potential energy.
- When kinetic energy reduces to 1000 joules, potential energy becomes 1500 joules.
- A parachute reduces the woman's kinetic energy by increasing air resistance, thus causing a slower descent.