Is My Physics Calculation on Elevator Dynamics Correct?

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The discussion focuses on verifying calculations related to elevator dynamics, including force diagrams, acceleration, scale readings, and drop time. The mass of the elevator and passengers is 1500 kg, with a frictional force of 9000 N acting upward against gravity. The acceleration of the elevator is determined to be 3.8 m/s² downward. The scale reading for a 50.0 kg woman in the elevator is calculated at 300 N. The time to drop 30 floors, each 3.0 m high, is estimated at 6.88 seconds, with all calculations confirmed as correct.
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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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