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 ebergies of the fruits compare?
A. Both fruits have only potential energy and no kenetic energy.
B. The watermelon A has more kenetic energy.
C. Both fruits have the same kenetic and potential energy.
D. The watermelon B has more kinetic.
The potential energy of an object is given by the formula PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height. Since the height is not given in the table, we cannot compare the potential energies of the fruits.
However, the kinetic energy of an object is given by the formula KE = 0.5mv^2, where m is the mass and v is the velocity or speed. Comparing the speeds of the watermelons, we see that Watermelon B has a higher speed than Watermelon A. Therefore, according to the formula for kinetic energy, Watermelon B will have more kinetic energy.
So, the correct answer is:
D. The watermelon B has more kinetic energy.
To compare the kinetic and potential energy of the fruits, we need to understand the definitions of kinetic energy and potential energy.
Kinetic energy refers to the energy possessed by an object due to its motion. It is calculated using the formula: KE = 0.5 * mass * speed^2.
Potential energy, on the other hand, refers to the energy possessed by an object due to its position or state. For an object in a gravitational field, potential energy is calculated using the formula: PE = mass * gravitational acceleration * height.
In this case, since both watermelons fall off the same kitchen counter, their heights are the same, and we can compare their kinetic energies directly.
Looking at the table, we can see that Watermelon A has a mass of 4 kg and a speed of 2 m/s, while Watermelon B also has a mass of 4 kg but a speed of 4 m/s.
Let's calculate the kinetic energy of each watermelon using the formula mentioned earlier:
Kinetic energy of Watermelon A = 0.5 * 4 kg * (2 m/s)^2 = 8 J
Kinetic energy of Watermelon B = 0.5 * 4 kg * (4 m/s)^2 = 32 J
Comparing the kinetic energies, we can see that Watermelon B has more kinetic energy than Watermelon A.
Therefore, the answer to the question is: D. The watermelon B has more kinetic energy.
To compare the kinetic and potential energies of the two watermelons, we need to understand the definitions of these types of energy.
Potential energy (PE) refers to the energy an object possesses due to its position or condition, such as its height above the ground. It is calculated using the formula PE = mgh, where m represents the mass of the object, g represents the acceleration due to gravity (approximately 9.8 m/s^2), and h represents the height or vertical position of the object.
Kinetic energy (KE) refers to the energy of an object in motion and is calculated using the formula KE = 0.5mv^2, where m represents the mass of the object and v represents its velocity or speed.
Comparing the data provided in the table:
Watermelon A has a mass of 4 kg and a speed of 2 m/s.
Watermelon B also has a mass of 4 kg but a speed of 4 m/s.
To compare the kinetic energy of the two watermelons, we can calculate their kinetic energy using the formula mentioned earlier.
For Watermelon A:
KE = 0.5 * 4 kg * (2 m/s)^2 = 8 J
For Watermelon B:
KE = 0.5 * 4 kg * (4 m/s)^2 = 32 J
From the calculations, we can see that Watermelon B has more kinetic energy (32 J) compared to Watermelon A (8 J).
Now let's compare the potential energy of the two watermelons. Since the information in the table does not provide the height or vertical position of the watermelons, we cannot determine their potential energy.
Therefore, based on the given information, the correct answer is:
D. The watermelon B has more kinetic energy.