A construction crane's cable lifts a 49.5-kg box upward with an acceleration of 1.30 m/s2. Find the tension in the rope.
answer in newtons

See Answers (1)

Accepted Answer

Verrrrry interesting question !Force= (mass) x (acceleration)               (49.5kg) x (1.3 m/s²) =        Net force on the box is  64.25 newtons upward.That's the net force.  It's the combination of the tension in the rope pulling the box up, and the force of gravity pulling the box down. Force of gravity = "weight" = (mass) x (gravity) =                                                       (49.5) x (9.8) = 485.1 newtons downwardThe tension in the rope must be enough to balance the downward force of gravity PLUS provide another 64.25 newtons upward.       Tension = (485.1) + (64.25) = 549.35 newtons

Related Question in Physics