Answer :
The magnitude of force on the elevator cable that would be needed to lower the cat/elevator pair is 198 Newton.
Given the following data:
- Mass of cat = 2 kg
- Mass of elevator = 97 kg
- Acceleration = 2 [tex]m/s^2[/tex]
To determine the magnitude of force on the elevator cable that would be needed to lower the cat/elevator pair, we would apply Newton's Second Law of Motion:
First of all, we would calculate the total mass of the cat/elevator pair.
[tex]Total \;mass=2 + 97[/tex]
Total mass = 99 kilograms
Mathematically, Newton's Second Law of Motion is given by this formula;
[tex]Force = mass \times acceleration[/tex]
Substituting the given parameters into the formula, we have;
[tex]Force = 99 \times 2[/tex]
Net force = 198 Newton
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