On a frictionless horizontal surface a 7.81 KG block is pushed up against 312,400 N/m spring. The block is then released and upon leaving for he spring it’s going 34 m/s. -Determine how much the spring was compressed. - the block than slides off the surface edge and falls 2.3 m to the ground below. Determine how fast the block is going on impact if 3,001 J of the thermal energy is produced as it falls

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Chapter1: Units, Trigonometry. And Vectors
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On a frictionless horizontal surface a 7.81 KG block is pushed up against 312,400 N/m spring. The block is then released and upon leaving for he spring it’s going 34 m/s. -Determine how much the spring was compressed. - the block than slides off the surface edge and falls 2.3 m to the ground below. Determine how fast the block is going on impact if 3,001 J of the thermal energy is produced as it falls
### Problem Description

On a frictionless horizontal surface, a 7.81 kg block is pushed up against a 312,400 N/m spring. 

**A.)** Determine how much the spring was compressed.  
\[ l = \_\_\_\_ \]

**B.)** The block then slides off the surface edge and impacts the floor. Calculate the speed of impact if 3,001 J of thermal energy is produced after the collision.  
\[ V_{\text{impact}} = \_\_\_\_ \]

### Diagram Explanation

The diagram depicts a block on a horizontal platform. The block is compressed against a spring at the edge of the platform. The spring is represented by a zigzag line. The block appears to have the potential to slide off the platform upon being released from the spring. 

### Additional Notes

- The system is on a frictionless surface, which is critical for simplifying calculations related to energy conservation.
- Consider using energy conservation principles, such as potential and kinetic energy, to solve the problem.
- Ensure to account for the transformation of energy into thermal energy as specified in Part B. 

This setup is useful for demonstrating principles of energy conservation and dynamics in a controlled, frictionless environment.
Transcribed Image Text:### Problem Description On a frictionless horizontal surface, a 7.81 kg block is pushed up against a 312,400 N/m spring. **A.)** Determine how much the spring was compressed. \[ l = \_\_\_\_ \] **B.)** The block then slides off the surface edge and impacts the floor. Calculate the speed of impact if 3,001 J of thermal energy is produced after the collision. \[ V_{\text{impact}} = \_\_\_\_ \] ### Diagram Explanation The diagram depicts a block on a horizontal platform. The block is compressed against a spring at the edge of the platform. The spring is represented by a zigzag line. The block appears to have the potential to slide off the platform upon being released from the spring. ### Additional Notes - The system is on a frictionless surface, which is critical for simplifying calculations related to energy conservation. - Consider using energy conservation principles, such as potential and kinetic energy, to solve the problem. - Ensure to account for the transformation of energy into thermal energy as specified in Part B. This setup is useful for demonstrating principles of energy conservation and dynamics in a controlled, frictionless environment.
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