Final answer:
The mass of an apple with a gravitational potential energy of 6 J situated 4 m above the ground is approximately 0.153 kg, calculated using the formula G.P.E. = mgh with g being 9.80 m/s².
Step-by-step explanation:
To determine the mass of an apple with a gravitational potential energy (GPE) of 6 J that is 4 m above the ground, we can use the GPE formula: G.P.E. = mgh, where m is the mass in kg, g is the acceleration due to gravity (approximately 9.80 m/s² on Earth), and h is the height in meters.
Plugging in the values we get:
6 J = m * 9.80 m/s² * 4 m
Dividing both sides by (9.80 m/s² * 4 m), we find:
m = 6 J / (9.80 m/s² * 4 m)
m ≈ 0.153 kg
The mass of the apple is therefore approximately 0.153 kg when rounded to three significant figures.