Use the table of information to answer the question.
Fruit Mass (kg) Speed (m/s)
Watermelon A 4 2
Watermelon B 4 4Two 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 only potential energy and no kinetic energy.
Both fruits have only potential energy and no kinetic energy.
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.
The watermelon B has more kinetic energy.
The watermelon A has more kinetic energy.
To answer the question, we need to understand the concepts of kinetic energy and potential energy.
Kinetic energy is the energy possessed by an object due to its motion. It depends on the mass and speed of the object and is calculated using the formula: KE = (1/2)mv^2, where KE represents kinetic energy, m represents mass in kilograms, and v represents speed in meters per second.
Potential energy is the energy possessed by an object due to its position or state. It can be gravitational potential energy, which depends on the height of the object, or elastic potential energy, which depends on the stretching or compressing of an object. In this case, we are concerned with gravitational potential energy, which is given by the formula: PE = mgh, where PE represents potential energy, m represents mass in kilograms, g represents the acceleration due to gravity (approximately 9.8 m/s^2), and h represents height in meters.
Now let's consider the situation with the two watermelons. Both watermelons have the same mass of 4 kilograms, but their speeds differ. Watermelon A has a speed of 2 m/s, while watermelon B has a speed of 4 m/s.
To compare their kinetic energies, we can plug in the given values into the kinetic energy formula. For watermelon A: KE = (1/2)(4 kg)(2 m/s)^2 = 8 Joules. For watermelon B: KE = (1/2)(4 kg)(4 m/s)^2 = 32 Joules. Therefore, watermelon B has more kinetic energy than watermelon A.
However, the question also asks about potential energy. The information provided does not give us the heights at which the watermelons are positioned, so we cannot compare their gravitational potential energies. Therefore, we cannot determine how their potential energies compare.
Therefore, the correct answer to the question is: The watermelon B has more kinetic energy.