To determine how the kinetic energy of Watermelon A and Watermelon B compare, we can use the formula for kinetic energy (KE):
\[ KE = \frac{1}{2} m v^2 \]
Where:
- \( m \) is the mass (kg)
- \( v \) is the speed (m/s)
Let's calculate the kinetic energy for both watermelons.
For Watermelon A:
- Mass \( m = 4 \) kg
- Speed \( v = 2 \) m/s
\[ KE_A = \frac{1}{2} \cdot 4 \cdot (2^2) = \frac{1}{2} \cdot 4 \cdot 4 = \frac{16}{2} = 8 , \text{J} \]
For Watermelon B:
- Mass \( m = 4 \) kg
- Speed \( v = 4 \) m/s
\[ KE_B = \frac{1}{2} \cdot 4 \cdot (4^2) = \frac{1}{2} \cdot 4 \cdot 16 = \frac{64}{2} = 32 , \text{J} \]
Now we compare the kinetic energies:
- Watermelon A has 8 J of kinetic energy.
- Watermelon B has 32 J of kinetic energy.
From this, we can conclude that Watermelon B has more kinetic energy.
As for potential energy, since both are falling off a kitchen counter, they would have the same potential energy if we assume they start from the same height. However, since the question focuses primarily on kinetic energy, the final conclusion is:
The watermelon B has more kinetic energy.
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