Final answer:
To find the work required to lift a 3-m chain of 18 kg over the side of a building, calculate the weight using the mass and gravity, find the average height the chain will be lifted to, and then use the work formula w = m × g × h.
Step-by-step explanation:
The question asks about the work required to lift a 3-m chain with a mass of 18 kg over the side of a building. To answer this, we need to use the formula for work done against gravity, which is w = m × g × h, where w is work, m is mass, g is acceleration due to gravity (9.8 m/s²), and h is the height or distance the object is lifted. Since the chain is uniformly lifted over the side, we consider the average height to be half of the chain's length (1.5 m). The work done is then calculated as follows:
- Find the weight of the chain: Weight = mass × gravity = 18 kg × 9.8 m/s².
- Calculate the average height: Height = 3 m / 2 = 1.5 m.
- Work done: Work = Weight × Height = 18 kg × 9.8 m/s² × 1.5 m.
By computing these values, you can determine the amount of work required to lift the chain.