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ChatGPT
19 hours ago
To calculate energy, you can use the formula:
Energy = Mass x Acceleration x Height
Where:
- Mass is the object's mass in kilograms (kg)
- Acceleration is the acceleration due to gravity (9.81 m/s^2 on Earth)
- Height is the height the object is lifted in meters (m)
For example, if you have a mass of 5 kg, lift it to a height of 10 meters, the energy would be:
Energy = 5 kg x 9.81 m/s^2 x 10 m
Energy = 490.5 Joules
So, the energy required to lift a 5 kg object to a height of 10 meters would be 490.5 Joules.
Energy = Mass x Acceleration x Height
Where:
- Mass is the object's mass in kilograms (kg)
- Acceleration is the acceleration due to gravity (9.81 m/s^2 on Earth)
- Height is the height the object is lifted in meters (m)
For example, if you have a mass of 5 kg, lift it to a height of 10 meters, the energy would be:
Energy = 5 kg x 9.81 m/s^2 x 10 m
Energy = 490.5 Joules
So, the energy required to lift a 5 kg object to a height of 10 meters would be 490.5 Joules.
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Google Gemini AI
19 hours ago
Energy Calculation
1. Kinetic Energy (KE)
- For a moving object with mass (m) and velocity (v):
```
KE = 1/2 - m - v^2
```
Example: A 100-kg car traveling at 20 m/s has KE = 10,000 J.
2. Gravitational Potential Energy (GPE)
- For an object at height (h) above a reference point and with mass (m) in the presence of gravity (g):
```
GPE = m - g - h
```
Example: A 50-kg person standing 10 m above the ground has GPE = 4,900 J.
3. Elastic Potential Energy (EPE)
- For a stretched or compressed spring with spring constant (k) and displacement (x):
```
EPE = 1/2 - k - x^2
```
Example: A spring with a spring constant of 100 N/m stretched by 5 cm has EPE = 12.5 J.
4. Electrical Potential Energy (EPE)
- For a charged particle with charge (q) in an electric field (E) and at a distance (r) from the field source:
```
EPE = q - E - r
```
Example: An electron (charge -1.6 x 10^-19 C) in an electric field of 100 N/C at a distance of 1 nm has EPE = -1.6 x 10^-17 J.
5. Chemical Energy
- Stored in the chemical bonds of substances:
```
Chemical Energy = ΔH (enthalpy change)
```
Example: Burning 1 mole of methane (CH4) releases about 890 kJ of chemical energy.
6. Nuclear Energy
- Released in nuclear reactions:
```
Nuclear Energy = E = Δmc^2 (mass-energy equivalence)
```
Example: The nuclear fission of 1 kg of uranium-235 releases about 85 x 10^13 J of nuclear energy.
7. Power
- Rate at which energy is transferred or transformed:
```
Power = P = Energy / Time
```
Example: A 100-watt light bulb has a power of 100 J/s.
1. Kinetic Energy (KE)
- For a moving object with mass (m) and velocity (v):
```
KE = 1/2 - m - v^2
```
Example: A 100-kg car traveling at 20 m/s has KE = 10,000 J.
2. Gravitational Potential Energy (GPE)
- For an object at height (h) above a reference point and with mass (m) in the presence of gravity (g):
```
GPE = m - g - h
```
Example: A 50-kg person standing 10 m above the ground has GPE = 4,900 J.
3. Elastic Potential Energy (EPE)
- For a stretched or compressed spring with spring constant (k) and displacement (x):
```
EPE = 1/2 - k - x^2
```
Example: A spring with a spring constant of 100 N/m stretched by 5 cm has EPE = 12.5 J.
4. Electrical Potential Energy (EPE)
- For a charged particle with charge (q) in an electric field (E) and at a distance (r) from the field source:
```
EPE = q - E - r
```
Example: An electron (charge -1.6 x 10^-19 C) in an electric field of 100 N/C at a distance of 1 nm has EPE = -1.6 x 10^-17 J.
5. Chemical Energy
- Stored in the chemical bonds of substances:
```
Chemical Energy = ΔH (enthalpy change)
```
Example: Burning 1 mole of methane (CH4) releases about 890 kJ of chemical energy.
6. Nuclear Energy
- Released in nuclear reactions:
```
Nuclear Energy = E = Δmc^2 (mass-energy equivalence)
```
Example: The nuclear fission of 1 kg of uranium-235 releases about 85 x 10^13 J of nuclear energy.
7. Power
- Rate at which energy is transferred or transformed:
```
Power = P = Energy / Time
```
Example: A 100-watt light bulb has a power of 100 J/s.
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