As shown in the figure above, a pulley is mounted to the ceiling of an elevator. The elevator is initially traveling with a constant velocity of 1.50 m/s, directed up. The rope (which we assume to no mass) passing over the pulley has block A tied to one end and block B tied to the other. The mass of block A is 3.20 kg. Block A remains on the floor of the elevator, at rest with respect to th elevator. The mass of block B is 1.50 kg, and block B is also at rest with respect to the elevator, hanging from the rope. (a) Calculate the magnitude of the tension in the rope.

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**Physics Problem: Pulley System in an Elevator**

**Context**: For this problem, use \( g = 10 \, \text{N/kg} \).

**Diagram Description**: The diagram shows a pulley mounted to the ceiling of an elevator. The pulley has a rope passing over it, with block A tied to one end and block B to the other. Block A is resting on the elevator floor, while block B is hanging at rest.

### Problem Details:

**Initial Conditions**:
- The elevator is traveling upwards with a constant velocity of \( 1.50 \, \text{m/s} \).
- The mass of block A is \( 3.20 \, \text{kg} \).
- The mass of block B is \( 1.50 \, \text{kg} \).

**Tasks**:
(a) Calculate the **magnitude of the tension** in the rope.

(b) Calculate the **magnitude of the force** exerted on block A by the elevator floor.

(c) Given the total mass of the pulley and its support is \( 0.700 \, \text{kg} \), calculate the **magnitude of the force** exerted by the ceiling of the elevator on the pulley support.

**Later Conditions**:
- The elevator accelerates downwards at \( 1.10 \, \text{m/s}^2 \).

**Tasks**:
(d) Calculate the **magnitude of the tension** in the rope now.

(e) Calculate the **magnitude of the force** exerted on block A by the floor of the elevator now.

**Notes**:
- Assume the rope is massless.
- Blocks remain at rest relative to the elevator throughout these conditions. 

**Boxes for Answers**:
- Each task provides a box for students to input the calculated magnitude in newtons (N). 

This educational exercise requires applying Newtonian physics to determine tension and forces within a dynamic system involving constant velocity and acceleration.
Transcribed Image Text:**Physics Problem: Pulley System in an Elevator** **Context**: For this problem, use \( g = 10 \, \text{N/kg} \). **Diagram Description**: The diagram shows a pulley mounted to the ceiling of an elevator. The pulley has a rope passing over it, with block A tied to one end and block B to the other. Block A is resting on the elevator floor, while block B is hanging at rest. ### Problem Details: **Initial Conditions**: - The elevator is traveling upwards with a constant velocity of \( 1.50 \, \text{m/s} \). - The mass of block A is \( 3.20 \, \text{kg} \). - The mass of block B is \( 1.50 \, \text{kg} \). **Tasks**: (a) Calculate the **magnitude of the tension** in the rope. (b) Calculate the **magnitude of the force** exerted on block A by the elevator floor. (c) Given the total mass of the pulley and its support is \( 0.700 \, \text{kg} \), calculate the **magnitude of the force** exerted by the ceiling of the elevator on the pulley support. **Later Conditions**: - The elevator accelerates downwards at \( 1.10 \, \text{m/s}^2 \). **Tasks**: (d) Calculate the **magnitude of the tension** in the rope now. (e) Calculate the **magnitude of the force** exerted on block A by the floor of the elevator now. **Notes**: - Assume the rope is massless. - Blocks remain at rest relative to the elevator throughout these conditions. **Boxes for Answers**: - Each task provides a box for students to input the calculated magnitude in newtons (N). This educational exercise requires applying Newtonian physics to determine tension and forces within a dynamic system involving constant velocity and acceleration.
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