Answer:
the work done in winding up the hanging cable is 70,560 joules.
Explanation:
To solve this problem, we need to find the weight of the cable and the work done in lifting it.
First, we find the weight of the cable:
Weight = Mass x Gravity
Weight = Density x Volume x Gravity
The volume of the cable is its length, which is given as 30 m. Therefore,
Weight = 8 kg/m x 30 m x 9.8 m/s^2
Weight = 2352 N
Next, we find the work done in lifting the cable. The work done is equal to the product of the weight and the distance lifted:
Work = Weight x Distance
We can assume that the cable is lifted vertically, so the distance lifted is also 30 m. Therefore,
Work = 2352 N x 30 m
Work = 70,560 J
Therefore, the work done in winding up the hanging cable is 70,560 joules.