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Answer :
Final answer:
The acceleration of the elevator, moving in the upward direction, given the supplied forces and masses, is 8.02 m/s^2.
Explanation:
Firstly, calculate the total mass in the elevator by adding the masses of the 3 passengers and the mass of the elevator itself. That sums up to 72 kg + 84 kg + 35 kg + 1030 kg = 1221 kg. The force exerted by the elevator cable is 9800 N. According to Newton's second law of motion, force equals mass times acceleration (F=ma), so acceleration can be determined by rearranging this equation to a = F/m. Plugging the values in, we get a = 9800 N / 1221 kg = 8.02 m/s^2. This is the acceleration of the elevator, and since the force is upward, the elevator is moving upwards.
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