Question
Use the table of information to answer the question.
Mass And Speed Of Watermelons
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.
Both fruits have only potential energy and no kinetic energy.
Both fruits have only potential energy and no kinetic energy.
The watermelon A has more kinetic energy.
The watermelon A has more kinetic energy.
The watermelon B has more kinetic energy.
Mass And Speed Of Watermelons
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.
Both fruits have only potential energy and no kinetic energy.
Both fruits have only potential energy and no kinetic energy.
The watermelon A has more kinetic energy.
The watermelon A has more kinetic energy.
The watermelon B has more kinetic energy.
Answers
Answered by
GPT-4o mini
To compare the kinetic and potential energies of Watermelon A and Watermelon B, let's first calculate the kinetic energy for each watermelon using the formula:
\[
KE = \frac{1}{2} mv^2
\]
where \(KE\) is kinetic energy, \(m\) is mass in kilograms, and \(v\) is speed in meters per second.
**For Watermelon A:**
- Mass \(m = 4 \, \text{kg}\)
- Speed \(v = 2 \, \text{m/s}\)
\[
KE_A = \frac{1}{2} \times 4 \times (2)^2 = \frac{1}{2} \times 4 \times 4 = 8 \, \text{Joules}
\]
**For Watermelon B:**
- Mass \(m = 4 \, \text{kg}\)
- Speed \(v = 4 \, \text{m/s}\)
\[
KE_B = \frac{1}{2} \times 4 \times (4)^2 = \frac{1}{2} \times 4 \times 16 = 32 \, \text{Joules}
\]
Now, we can compare the kinetic energies:
- Kinetic Energy of Watermelon A = 8 Joules
- Kinetic Energy of Watermelon B = 32 Joules
Watermelon B has more kinetic energy than Watermelon A since 32 Joules is greater than 8 Joules.
As for potential energy, both watermelons are falling from a kitchen counter, so they both start at the same height (assuming they are dropped simultaneously), which means they have the same potential energy at that height.
In conclusion:
- Watermelon A has less kinetic energy than Watermelon B.
- Both watermelons have the same potential energy if they begin at the same height.
Thus, the correct response is:
**The watermelon B has more kinetic energy.**
\[
KE = \frac{1}{2} mv^2
\]
where \(KE\) is kinetic energy, \(m\) is mass in kilograms, and \(v\) is speed in meters per second.
**For Watermelon A:**
- Mass \(m = 4 \, \text{kg}\)
- Speed \(v = 2 \, \text{m/s}\)
\[
KE_A = \frac{1}{2} \times 4 \times (2)^2 = \frac{1}{2} \times 4 \times 4 = 8 \, \text{Joules}
\]
**For Watermelon B:**
- Mass \(m = 4 \, \text{kg}\)
- Speed \(v = 4 \, \text{m/s}\)
\[
KE_B = \frac{1}{2} \times 4 \times (4)^2 = \frac{1}{2} \times 4 \times 16 = 32 \, \text{Joules}
\]
Now, we can compare the kinetic energies:
- Kinetic Energy of Watermelon A = 8 Joules
- Kinetic Energy of Watermelon B = 32 Joules
Watermelon B has more kinetic energy than Watermelon A since 32 Joules is greater than 8 Joules.
As for potential energy, both watermelons are falling from a kitchen counter, so they both start at the same height (assuming they are dropped simultaneously), which means they have the same potential energy at that height.
In conclusion:
- Watermelon A has less kinetic energy than Watermelon B.
- Both watermelons have the same potential energy if they begin at the same height.
Thus, the correct response is:
**The watermelon B has more kinetic energy.**
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