An elevator, with a total mass of 454 kg, accelerates upward at 3.51 𝑚/𝑠2 . During this time, the tension in the elevator cable is _____.
454(g+3.51)
To find the tension in the elevator cable, we need to 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 the tension in the elevator cable and the mass is the total mass of the elevator.
The formula to calculate net force is:
Force (F) = mass (m) × acceleration (a)
Given:
Mass of the elevator (m) = 454 kg
Acceleration (a) = 3.51 m/s²
Substituting the given values in the formula:
Force (F) = 454 kg × 3.51 m/s²
Calculating the result:
Force (F) = 1594.54 kg·m/s²
Therefore, the tension in the elevator cable is 1594.54 kg·m/s².