Net force = (mass) x (acceleration)
There are two forces acting on the barrel:
-- the force of gravity, downward;
-- the force of the rope, upward.
When these two forces are added together, their sum (the net force
on the barrel) causes the barrel to accelerate upward at 1.4 m/s² .
Net force = (Rope force) - (Grav force) = (mass) x (acceleration)
Grav force = 'weight' = (mass) x (grav) = (16 x 9.8) = 156.8 newtons
Net force = (mass x acceleration) = (16 x 1.4) = 22.4 newtons
Net force =
22.4 newtons = (Rope force) - (156.8 newtons)
Add 156.8 newtons to each side: Rope force = 22.4 + 156.8 = 179.2 newtons