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Answer :
The Martians delivering meteorite together weigh less than the weight limit of the elevator, so they can deliver the asteroid.
However, the diameter of the meteorite is larger than the height of the elevator doors, so they cannot deliver it.
To determine if the Martians can deliver the asteroid to the 4th floor, we need to consider the weight of the meteorite and the lifting capacity of the elevators. The total mass of the four Martians is 380 kg (95 kg x 4), while the mass of the meteorite is 2000 kg. Since gravity is different on Mars, the weight of the Martians and the meteorite will be different.
The weight of an object can be calculated by multiplying its mass by the acceleration due to gravity. However, we need to convert the weight limit of the elevator from pounds to kg and determine if it can lift the total weight of the Martians and the meteorite. We also need to check if the diameter of the meteorite is small enough to fit through the elevator doors.
Martians' weight on Mars: 380 kg x 3.71 m/s² = 1410.8 N
Meteorite's weight on Mars: 2000 kg x 3.71 m/s² = 7420 N
Total weight: 1410.8 N + 7420 N = 8830.8 N
Weight limit of elevator: 4000 lbs x 0.4536 kg/lb = 1814.4 kg
The Martians and the meteorite weigh a total of 8830.8 N, which is less than the weight limit of the elevator (1814.4 kg). Therefore, they will be able to deliver the asteroid to the 4th floor for display. However, we also need to check if the diameter of the meteorite is smaller than the height of the elevator doors to ensure it can fit through.
Height of the doors: 8.5 feet x 0.3048 m/ft = 2.5916 m
The diameter of the meteorite is 3.5 m, which is larger than the height of the elevator doors (2.5916 m). Therefore, the Martians will not be able to deliver the asteroid to the 4th floor due to the size constraint.
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