Is My Physics Calculation on Elevator Dynamics Correct?

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The discussion centers on the dynamics of an elevator with a mass of 1500 kg and a frictional force of 9000 N. The correct acceleration of the elevator is determined to be -3.8 m/s², indicating downward motion. A 50.0 kg woman standing on a scale in the elevator would register a weight of 300 N. Additionally, it would take approximately 6.88 seconds for the elevator to drop 30 floors, with each floor measuring 3.0 m.

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Can you check if my answers are correct?

Suppose that the mass of the elevator and passengers were 1500 kg, and the frictional force (wheels on tracks) was 9000 N.

1. Draw a force diagram for the elevator.
Force of friction pointed up and force of gravity pointed down


2. Determine the acceleration of the elevator.
would it be -3.8 m/s^2 or 3.8 m/s^2?


3. Suppose that a 50.0 kg woman were standing on a bathroom scale in this elevator car. What would the scale read?

300 N


4. Determine how long it would take for the elevator car (starting from rest) to drop 30 floors (assume each floor is 3.0 m).

6.88 s

thanks!
 
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xPiiNK said:
Can you check if my answers are correct?

Suppose that the mass of the elevator and passengers were 1500 kg, and the frictional force (wheels on tracks) was 9000 N.

1. Draw a force diagram for the elevator.
Force of friction pointed up and force of gravity pointed down


2. Determine the acceleration of the elevator.
would it be -3.8 m/s^2 or 3.8 m/s^2?


3. Suppose that a 50.0 kg woman were standing on a bathroom scale in this elevator car. What would the scale read?

300 N


4. Determine how long it would take for the elevator car (starting from rest) to drop 30 floors (assume each floor is 3.0 m).

6.88 s

thanks!

All look OK.

Re the -3.8 or +3.8.

The acceleration is definitely down. Have you defined up or down as positive? [actually you don't need to define it, just say the acceleration is 3.8 ms-2 Down.
 

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