To compare the kinetic and potential energies of Watermelon A and Watermelon B, we can use the formulas for kinetic energy (KE) and potential energy (PE).
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Kinetic Energy (KE) is given by the formula: \[ KE = \frac{1}{2} mv^2 \] where \(m\) is mass in kilograms and \(v\) is speed in meters per second.
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Potential Energy (PE) is given by the formula: \[ PE = mgh \] where \(h\) is the height above the ground and \(g\) is the acceleration due to gravity (approximately 9.81 m/s²). Without a specific height, we can only discuss potential energy qualitatively.
For each watermelon:
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Watermelon A:
- Mass = 4 kg
- Speed = 2 m/s
- Kinetic Energy = \(\frac{1}{2} \times 4 \times 2^2 = \frac{1}{2} \times 4 \times 4 = 8 , \text{J}\)
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Watermelon B:
- Mass = 4 kg
- Speed = 4 m/s
- Kinetic Energy = \(\frac{1}{2} \times 4 \times 4^2 = \frac{1}{2} \times 4 \times 16 = 32 , \text{J}\)
Now we can compare:
- Kinetic Energy:
- Watermelon A has 8 J.
- Watermelon B has 32 J.
Thus, Watermelon B has more kinetic energy.
- Potential Energy: Since both watermelons have the same mass and we assume they fell from the same height (if they fell off the same counter), their potential energies would also be the same, as potential energy is dependent on mass and height.
Conclusion:
Watermelon B has more kinetic energy, but both watermelons have the same potential energy (assuming they fell from the same height).
The correct response based on this analysis is: The watermelon B has more kinetic energy.
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