Final answer:
The work required to raise one end of the chain to a height of 8 ft is approximately 1263.46 Joules.
Step-by-step explanation:
To calculate the work required to raise one end of the chain to a height of 8ft, we need to consider the potential energy gained by the chain.
The formula for potential energy is given by PE = mgh, where m is the mass of the chain, g is the acceleration due to gravity, and h is the height of the chain. In this case, the mass of the chain is irrelevant as we only need the weight, so we can use the formula W = mg.
First, we need to find the weight of the chain. The weight is given by the formula W = mg, where m is the mass of the chain and g is the acceleration due to gravity. In this case, the weight is 120 lbs. To convert lbs to kg, we divide by 2.2046, so the weight of the chain in kg is approximately 54.43 kg.
Next, we can calculate the potential energy gained by the chain. Substituting the values into the formula PE = mgh, we have PE = (54.43 kg)(9.8 m/s^2)(8 ft) = (54.43 kg)(9.8 m/s^2)(2.44 m) = 1263.46 J.
Therefore, the work required to raise one end of the chain to a height of 8 ft is approximately 1263.46 Joules.