Final answer:
The height to which a 110 lb object was raised with 1960.0 J of work is approximately 4.011 meters. The student's question was answered using the work-energy principle in physics, requiring a conversion of weight from pounds to kilograms and then applying the equation Work = mgh.
Step-by-step explanation:
The student has asked to find the height to which a 110 lb object was raised given that the work done in raising the object is 1960.0 J.
To solve this, use the formula for work done against gravity, which is Work (W) = mgh, where m is mass in kilograms, g is the acceleration due to gravity (9.80 m/s² on Earth), and h is the height in meters.
First, the object's weight in pounds must be converted to a mass in kilograms by using the conversion rate 1 lb = 0.4536 kg. Thus, a 110 lb object has a mass of 110 lb * 0.4536 kg/lb = 49.896 kg.
Substitute the values into the formula to solve for height (h):
1960 J = (49.896 kg)(9.80 m/s²)h
Height (h) = 1960 J / (49.896 kg * 9.80 m/s²)
Height (h) = 1960 J / (488.7808 kg·m/s²)
Height (h) = 4.011 m
So, the height to which the 110 lb object was raised is approximately 4.011 meters.