A blueberry and an olive fall off of a kitchen counter and start rolling on the floor. The masses and speeds of the fruits are in the table below. Fruit & Mass (g) & Speed ((mathrm(m))/(mathrm(s))) blueberry & 1 & 3 olive & 3 & 1 How do the kinetic energies of the two fruits compare? Choose 1 answer: (A) The blueberry has more kinetic energy. (B) The olive has more kinetic energy. (C) Both fruits have the same kinetic energy.

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A blueberry and an olive fall off of a kitchen counter and start rolling on the floor. The masses and speeds of the fruits are in the table below. Fruit & Mass (g) & Speed ((mathrm(m))/(mathrm(s))) blueberry & 1 & 3 olive & 3 & 1 How do the kinetic energies of the two fruits compare? Choose 1 answer: (A) The blueberry has more kinetic energy. (B) The olive has more kinetic energy. (C) Both fruits have the same kinetic energy.

Answer 1

### A. The blueberry has more kinetic energy.

Answer 2

## Step 1: Understand the problem ### We need to compare the kinetic energies of two fruits: a blueberry and an olive. Kinetic energy is given by the formula: \[ KE = \frac{1}{2}mv^2 \] ## Step 2: Calculate the kinetic energy of the blueberry ### The mass of the blueberry is \(1 \, \text{g}\) (which we will convert to \(0.001 \, \text{kg}\) for SI units), and its speed is \(3 \, \text{m/s}\): \[ KE_{blueberry} = \frac{1}{2} \times 0.001 \, \text{kg} \times (3 \, \text{m/s})^2 = 0.0045 \, \text{J} \] ## Step 3: Calculate the kinetic energy of the olive ### The mass of the olive is \(3 \, \text{g}\) (which converts to \(0.003 \, \text{kg}\)), and its speed is \(1 \, \text{m/s}\): \[ KE_{olive} = \frac{1}{2} \times 0.003 \, \text{kg} \times (1 \, \text{m/s})^2 = 0.0015 \, \text{J} \] ## Step 4: Compare the kinetic energies ### The blueberry has a kinetic energy of \(0.0045 \, \text{J}\), while the olive has a kinetic energy of \(0.0015 \, \text{J}\). Thus, the blueberry has more kinetic energy.

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