Use 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

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

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

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.

1 answer

To compare the kinetic energy of Watermelon A and Watermelon B, we can use the formula for kinetic energy (KE):

\[ \text{KE} = \frac{1}{2} m v^2 \]

where \( m \) is the mass and \( v \) is the speed.

For Watermelon A:

  • Mass = 4 kg
  • Speed = 2 m/s

\[ \text{KE}_A = \frac{1}{2} \times 4 \times (2^2) = \frac{1}{2} \times 4 \times 4 = 8 , \text{J} \]

For Watermelon B:

  • Mass = 4 kg
  • Speed = 4 m/s

\[ \text{KE}_B = \frac{1}{2} \times 4 \times (4^2) = \frac{1}{2} \times 4 \times 16 = 32 , \text{J} \]

Now comparing the kinetic energies:

  • KE of Watermelon A = 8 J
  • KE of Watermelon B = 32 J

Therefore, Watermelon B has more kinetic energy.

Regarding potential energy, since both watermelons start at the same height on the kitchen counter and have the same mass, their potential energy will also be the same before they fall.

Based on the calculations:

Response: The watermelon B has more kinetic energy.

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