A construction crane's cable lifts a 59.5-kg box upward with an acceleration of 1.38 m/s^2. Find the tension in the rope.


501.585 is incorrect.

Tension = M*g + M*a

665.21

To find the tension in the rope, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the net force is equal to the tension in the rope.

The formula for Newton's second law is:

F = ma

Where:
F = Net force (tension in the rope)
m = Mass of the object (59.5 kg)
a = Acceleration (1.38 m/s^2)

Substituting the given values into the formula, we get:

F = (59.5 kg) * (1.38 m/s^2)

F = 82.11 N

Therefore, the tension in the rope is 82.11 Newtons.