se the table of information to answer the question.

Fruit Mass (kg) Speed (m/s)
Watermelon A 4 2
Watermelon B 4 4
Two watermelons fall off a kitchen counter. The masses and speeds of the fruits are in the table. How do the kinetic and/or the potential energies of the fruits compare?(1 point)
Responses

Both fruits have the same kinetic and potential energy.
Both fruits have the same kinetic and potential energy.

The watermelon A has more kinetic energy.
The watermelon A has more kinetic energy.

The watermelon B has more kinetic energy.
The watermelon B has more kinetic energy.

Both fruits have only potential energy and no kinetic energy.
Both fruits have only potential energy and no kinetic energy.
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To compare the kinetic and potential energies of the two watermelons, we can use the formulas for kinetic energy (KE) and potential energy (PE):

1. **Kinetic Energy (KE)** is calculated using the formula:
\[
KE = \frac{1}{2} mv^2
\]
where \( m \) is the mass and \( v \) is the speed of the object.

2. **Potential Energy (PE)** depends on height, but since the height is not given, we can't directly compare potential energies without it. However, we can assume that both fruits are at the same height when they fall, so any potential energy at that height will be the same for both.

Now let's calculate the kinetic energies for both watermelons:

- **Watermelon :
- Mass (m) = 4 kg
- Speed (v) = 2 m/s
\[
KE_A = \frac{1}{2} \times 4 \times (2)^2 = \frac{1}{2} \times 4 \times 4 = 8 \, \text{J}
\]

- **Watermelon B**:
- Mass (m) = 4 kg
- Speed (v) = 4 m/s
\[
KE_B = \frac{1}{2} \times 4 \times (4)^2 = \frac{1}{2} \times 4 \times 16 = 32 \, \text{J}
\]

**Comparison**:
- Watermelon A has a kinetic energy of 8 J.
- Watermelon B has a kinetic energy of 32 J.

Since Watermelon A has a lower speed, it also has lower kinetic energy. However, both watermelons would have the same potential energy if they are at the same height.

**Conclusion**:
The correct answer is: **The watermelon B has more kinetic energy.**