two watermelons fall off the kitchen counter, the masses and speeds of the fruits are in the table. How do the kinetic and or potential energies of the fruits compare a both fruits, have a potential energy and no kinetic energy be the watermelon a has more kinetic energy see the watermelon B has more kinetic energy or D both fruits have the same kinetic energy and potential energy
The kinetic and potential energies of the fruits can be calculated using the formulas:
Potential energy = mass * gravity * height
Kinetic energy = 0.5 * mass * velocity^2
Based on the information given in the table:
Watermelon A has a mass of 3 kg and a speed of 2 m/s
Watermelon B has a mass of 5 kg and a speed of 1 m/s
Calculating the potential energy for both fruits:
Watermelon A: 3 kg * 9.81 m/s^2 * 0.5 m = 14.715 J
Watermelon B: 5 kg * 9.81 m/s^2 * 0.5 m = 24.525 J
Calculating the kinetic energy for both fruits:
Watermelon A: 0.5 * 3 kg * (2 m/s)^2 = 6 J
Watermelon B: 0.5 * 5 kg * (1 m/s)^2 = 2.5 J
Comparing the energies:
- Watermelon A has more potential energy than Watermelon B
- Watermelon A has more kinetic energy than Watermelon B
Therefore, Watermelon A has both more potential and kinetic energy compared to Watermelon B.