Final answer:
The mass of the apple is calculated using the formula for gravitational potential energy, G.P.E. = mgh. By substituting the given potential energy (6.00 J) and height (3.00 m), and using 10 m/s² for the acceleration due to gravity, we find that the mass of the apple is 0.20 kg.
Step-by-step explanation:
To determine the mass of the apple, we can use the formula for gravitational potential energy (G.P.E.), which is G.P.E. = mgh. In this formula, m represents the mass in kilograms, g is the acceleration due to gravity (which is approximately 9.8 m/s² on Earth's surface, but for simplicity, we can use 10 m/s² as given in the reference), and h is the height in meters.
The question provides us with the gravitational potential energy (6.00 J) and the height (3.00 m). Using the formula, we plug in the known values and solve for the mass (m):
m = ∂P / (g * h)
m = 6.00 J / (10 m/s² * 3.00 m)
m = 6.00 J / 30 m²/s²
m = 0.20 kg
Therefore, the mass of the apple is 0.20 kg.