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Answer :
Final answer:
The tension in the cable supporting the elevator can be calculated by adding the gravitational force and the force required to accelerate the elevator.
Explanation:
To calculate the tension in the cable supporting the elevator, we need to consider two forces: the gravitational force and the force required to accelerate the elevator.
First, let's calculate the gravitational force acting on the elevator. The gravitational force can be calculated using the formula:
Gravitational force = mass of the elevator * acceleration due to gravity
Given that the mass of the elevator is 1843 kg and the acceleration due to gravity is approximately 9.8 m/s2, we can calculate the gravitational force:
Gravitational force = 1843 kg * 9.8 m/s2
Next, let's calculate the force required to accelerate the elevator. The force required to accelerate an object can be calculated using Newton's second law of motion:
Force = mass * acceleration
Given that the acceleration of the elevator is 1.20 m/s2 and the mass of the elevator is 1843 kg, we can calculate the force required to accelerate the elevator:
Force = 1843 kg * 1.20 m/s2
Finally, to find the tension in the cable, we need to add the gravitational force and the force required to accelerate the elevator:
Tension in the cable = Gravitational force + Force required to accelerate the elevator
By substituting the calculated values, we can find the tension in the cable.
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