3. A 16 kg barrel is lifted up by a rope. The barrel accelerates at 1.4 m/s2. Find the force exerted by the rope. Show all your work.
Answer:

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 newtonsNet force = (mass x acceleration) = (16 x 1.4) = 22.4 newtonsNet 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