A 4.0-kg particle moves in a circle of radius 2.0 m. The angular momentum of the particle varies in time according to I = 5.0t2. (a) What is the torque on the particle about the center of the circle at t = 3.4 s? (b) What is the angular velocity of the particle at t = 3.4 s? A A) 34.0 N*m B) 3.6 rad/s B) A) 24.0 N*m B) 3.8 rad/s A) 36.0 N*m B) 2.6 rad/s D A) 43.0 N*m B) 6.3 rad/s

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A 4.0-kg particle moves in a circle of radius 2.0 m. The angular momentum of the particle varies in time according to \( l = 5.0t^2 \).

**(a)** What is the torque on the particle about the center of the circle at \( t = 3.4 \, \text{s} \)?

**(b)** What is the angular velocity of the particle at \( t = 3.4 \, \text{s} \)?

Options:

- **A)**
  - Torque: 34.0 N\*m
  - Angular velocity: 3.6 rad/s

- **B)**
  - Torque: 24.0 N\*m
  - Angular velocity: 3.8 rad/s

- **C)**
  - Torque: 36.0 N\*m
  - Angular velocity: 2.6 rad/s

- **D)**
  - Torque: 43.0 N\*m
  - Angular velocity: 6.3 rad/s
Transcribed Image Text:A 4.0-kg particle moves in a circle of radius 2.0 m. The angular momentum of the particle varies in time according to \( l = 5.0t^2 \). **(a)** What is the torque on the particle about the center of the circle at \( t = 3.4 \, \text{s} \)? **(b)** What is the angular velocity of the particle at \( t = 3.4 \, \text{s} \)? Options: - **A)** - Torque: 34.0 N\*m - Angular velocity: 3.6 rad/s - **B)** - Torque: 24.0 N\*m - Angular velocity: 3.8 rad/s - **C)** - Torque: 36.0 N\*m - Angular velocity: 2.6 rad/s - **D)** - Torque: 43.0 N\*m - Angular velocity: 6.3 rad/s
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