The first thing you should know for this case is that work is defined as the product of force by the distance traveled in the direction of force.
We have then:
W = Fd
The distance varies, so we must integrate:
from 0 to 20:
W = ∫F (x) dx
W = ∫32xdx
W = 32∫xdx
W = 32 (x ^ 2/2) = (16) (20 ^ 2) = 6400 ft * lbs
answer:
6400 ft * lbs is work done pulling the rope up 20 ft
Gravity is 9.81m/s^2 on earth F=m×g
100N=(x)kg×9.81m/s^2
x=10.19kg or more than 22lbs
Answer
given,
angular speed of the tub = 5 rev/s
time = 9 s
he tub slows to rest = 15.0 s
the angular acceleration



angular displacement




case 2
now,


time = 15 s
the angular acceleration



angular displacement




total revolution in 24 s
= 23 + 38
= 62 revolution