Final answer:
Approximately 1.13 meters is the distance the 180 g apple is lifted when 2 J of work is done, calculated using the formula for work done due to gravity.
Step-by-step explanation:
The student's question involves calculating the distance over which work is done on an object. We know the amount of work done (2 J) and the mass of the object (180 g, which is 0.18 kg) and we are being asked to find how high the apple is lifted. The formula for work done by lifting an object is W = mgh, where W is work, m is mass, g is the acceleration due to gravity (9.8 m/s² on Earth), and h is the height. We can rearrange this formula to solve for h: h = W / (mg).
Plugging in the known values:
h = 2 J / (0.18 kg * 9.8 m/s²)
h = 2 / 1.764
h ≈ 1.13 meters
Therefore, the apple is lifted approximately 1.13 meters to reach the mouth.