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.
T = M (a + g)
The distance lifted doesn't matter.
Sometimes they give you more information than you need, to keep you on your toes.
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 (F = m * a).
Given:
Mass of the load (m) = 275 kg
Acceleration (a) = 0.120 g
To calculate the tension in the cable, we'll follow these steps:
Step 1: Convert the acceleration from g to m/s².
Since 1 g = 9.8 m/s², we need to convert 0.120 g to m/s².
Acceleration (a) = 0.120 g * 9.8 m/s²/g ≈ 1.176 m/s²
Step 2: Calculate the net force acting on the load.
Using Newton's second law, we can find the net force acting on the load.
Net force (F) = m * a
F = 275 kg * 1.176 m/s² ≈ 323.4 N
Step 3: Determine the tension in the cable.
The tension in the cable is equal to the net force acting on the load.
So, the tension in the cable is approximately 323.4 N.