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An elevator has a mass of 5000 kg. When the tension in the supporting cable is 60 kN, the acceleration of the elevator is nearly

An elevator has a mass of 5000 kg. When the tension in the supporting cable is 60 kN, the acceleration of the elevator is nearly Correct Answer 2 m/s<sup>2</sup>

Concept:

The acceleration of the elevator is found out from second law of motion and it is given as,

T – mg = ma

where, T =  tension in the supporting cable, m = mass of elevator, a =  acceleration of the elevator

Calculation:

Given:

m = 5000 kg, T = 60,000 N

Mistake PointsHere both options 3 and 4 can be correct. As the direction of lift is not specified. We will get -2 m/s2 and 2 m/s2 for lift moving upward and downward respectively. The official answer given was 2 m/s2, therefore the same has been solved accordingly.

Related Questions

An elevator with a mass of 2500 kg rests at 10m above the base of an elevator. It is raised to 100m above the base. The elevator falls freely to the base and strikes a strong spring. Find the potential energy of the elevator, (g = 9.8 ms-2).
From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.
S1: Instantly the full load yanked Gordy towards the side of the bridge.
P: But the pull of the cable was too much.
Q: He could hardly feel the cable, slipping through his fingers, ripping off his gloves, and streaking over the railing like an escaping snake.
R: It smashed his hands hard against the top of the railing, causing a split - second feeling of fierce pain followed by numbness.
S: He held on to the cable; it had been hard work lifting it, and he did not want to have to start over again.
S6: Feeling a sharp burning sensation where the cable was speeding between his things, Gordy rose on tiptoe and as he did, the slithering coil of cable tightened around his left foot and yanked him over the railing.

The Proper sequence should be:
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