A 275 kg load is lifted 24.0 m vertically with an acceleration a=0.120 g by a single cable. Determine the tension in the cable.

Write Newton's Second Law,

net Force = T - M g = M a.

Solve for the tension, T

To determine the tension in the cable, 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 tension in the cable is the net force acting on the load.

Step 1: Convert the acceleration from g to m/s^2
Since the given acceleration is in terms of "g," we need to convert it to meters per second squared (m/s^2). One g is equal to the acceleration due to gravity, which is approximately 9.8 m/s^2. Therefore, we can calculate the acceleration as follows:
0.120 g * 9.8 m/s^2 = 1.176 m/s^2

Step 2: Calculate the net force
The net force acting on the load is equal to the product of its mass and acceleration. Given that the mass of the load is 275 kg, we can calculate the net force as follows:
Net Force = Mass * Acceleration
Net Force = 275 kg * 1.176 m/s^2
Net Force = 322.8 N

Step 3: Determine the tension in the cable
Since the tension in the cable is equal to the net force, the tension can be calculated as:
Tension = 322.8 N

Therefore, the tension in the cable lifting the 275 kg load is 322.8 N.