A block of mass m = 6.30 kg is released from rest from point O and slides on the frictionless track shown in the figure below. (Assume h = 6.20 m. h. 3.20 m 2.00 m (a) Determine the block's speed at points and O point B m/s point © m/s (b) Determine the net work done by the gravitational force on the block as it moves from point to point ©.

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### Physics Problem: Kinematics and Energy Conservation

#### Problem Statement:
A block of mass \( m = 6.30 \, \text{kg} \) is released from rest from point \( A \) and slides on the frictionless track shown in the figure below. Assume \( h_A = 6.20 \, \text{m} \).

#### Diagram Explanation:
The diagram illustrates a block sliding down a frictionless track from a height of \( h_A = 6.20 \, \text{m} \). The track contains two notable points:
- Point \( B \), located at a height of \( 3.20 \, \text{m} \) above the ground.
- Point \( C \), located at a height of \( 2.00 \, \text{m} \) above the ground.

Points \( B \) and \( C \) are marked on the track, and the heights from the ground to points \( B \) and \( C \) are specifically indicated.

#### Questions:
(a) Determine the block's speed at points \( B \) and \( C \).

- Point \( B \): \[ \_\_\_\_\_\_\_\_\_\_ \, \text{m/s} \]
- Point \( C \): \[ \_\_\_\_\_\_\_\_\_\_ \, \text{m/s} \]

(b) Determine the net work done by the gravitational force on the block as it moves from point \( A \) to point \( C \).

\[ \_\_\_\_\_\_\_\_\_\_ \, \text{J} \]

#### Assistance:
If you need help, consider the provided resources:
- **Read It**: A textual explanation or walkthrough.
- **Watch It**: A video explanation or tutorial.

### Note:
Remember, in frictionless systems, energy conservation principles can be applied, and gravitational potential energy translates to kinetic energy. Use these principles to solve for speeds and work done by gravitational forces.

**Need Help?** 
- Read It 
- Watch It
Transcribed Image Text:### Physics Problem: Kinematics and Energy Conservation #### Problem Statement: A block of mass \( m = 6.30 \, \text{kg} \) is released from rest from point \( A \) and slides on the frictionless track shown in the figure below. Assume \( h_A = 6.20 \, \text{m} \). #### Diagram Explanation: The diagram illustrates a block sliding down a frictionless track from a height of \( h_A = 6.20 \, \text{m} \). The track contains two notable points: - Point \( B \), located at a height of \( 3.20 \, \text{m} \) above the ground. - Point \( C \), located at a height of \( 2.00 \, \text{m} \) above the ground. Points \( B \) and \( C \) are marked on the track, and the heights from the ground to points \( B \) and \( C \) are specifically indicated. #### Questions: (a) Determine the block's speed at points \( B \) and \( C \). - Point \( B \): \[ \_\_\_\_\_\_\_\_\_\_ \, \text{m/s} \] - Point \( C \): \[ \_\_\_\_\_\_\_\_\_\_ \, \text{m/s} \] (b) Determine the net work done by the gravitational force on the block as it moves from point \( A \) to point \( C \). \[ \_\_\_\_\_\_\_\_\_\_ \, \text{J} \] #### Assistance: If you need help, consider the provided resources: - **Read It**: A textual explanation or walkthrough. - **Watch It**: A video explanation or tutorial. ### Note: Remember, in frictionless systems, energy conservation principles can be applied, and gravitational potential energy translates to kinetic energy. Use these principles to solve for speeds and work done by gravitational forces. **Need Help?** - Read It - Watch It
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