X 18. Mr. Kustusch exerts a force upon a 3.9-kg pile of snow to both lift it 0/2 and set it into motion. The snow leaves the shovel with a speed of 2.7 m/s at a height of 1.7 m. Determine the work done upon the pile of snow. Include units, no spaces. Round to one decimal place. 68 31

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### Physics Problem: Work and Energy Example

**Problem Statement:**
Mr. Kustusch exerts a force upon a 3.9-kg pile of snow to both lift it and set it into motion. The snow leaves the shovel with a speed of 2.7 m/s at a height of 1.7 m. Determine the work done upon the pile of snow. Include units, no spaces. Round to one decimal place.

**Given Data:**
- Mass of snow (m): 3.9 kg 
- Speed of snow (v): 2.7 m/s 
- Height (h): 1.7 m

**Solution:**
*Calculation of work done includes both the gravitational potential energy and the kinetic energy.*

1. **Potential Energy (PE):**
   PE = m × g × h 
   where g = 9.8 m/s² (acceleration due to gravity)

   PE = 3.9 kg × 9.8 m/s² × 1.7 m 
   PE = 64.566 J

2. **Kinetic Energy (KE):**
   KE = 1/2 × m × v²

   KE = 1/2 × 3.9 kg × (2.7 m/s)² 
   KE = 1.95 kg × 7.29 m²/s² 
   KE = 14.2455 J

3. **Total Work Done (W):**
   W = PE + KE 

   W = 64.566 J + 14.2455 J 
   W ≈ 78.8 J

**Answer:**
68.3J

**Additional Notes:**
- This example demonstrates the principles of work, kinetic energy, and potential energy.
- The rounded answer appears to be miscalculated in the problem statement; based on the proper calculation steps, the correct answer should be approximately 78.8 J. However, the provided answer in the image is 68.3J. 

**Source:**
This form was created inside of Chicago Public Schools using Google Forms.
Transcribed Image Text:### Physics Problem: Work and Energy Example **Problem Statement:** Mr. Kustusch exerts a force upon a 3.9-kg pile of snow to both lift it and set it into motion. The snow leaves the shovel with a speed of 2.7 m/s at a height of 1.7 m. Determine the work done upon the pile of snow. Include units, no spaces. Round to one decimal place. **Given Data:** - Mass of snow (m): 3.9 kg - Speed of snow (v): 2.7 m/s - Height (h): 1.7 m **Solution:** *Calculation of work done includes both the gravitational potential energy and the kinetic energy.* 1. **Potential Energy (PE):** PE = m × g × h where g = 9.8 m/s² (acceleration due to gravity) PE = 3.9 kg × 9.8 m/s² × 1.7 m PE = 64.566 J 2. **Kinetic Energy (KE):** KE = 1/2 × m × v² KE = 1/2 × 3.9 kg × (2.7 m/s)² KE = 1.95 kg × 7.29 m²/s² KE = 14.2455 J 3. **Total Work Done (W):** W = PE + KE W = 64.566 J + 14.2455 J W ≈ 78.8 J **Answer:** 68.3J **Additional Notes:** - This example demonstrates the principles of work, kinetic energy, and potential energy. - The rounded answer appears to be miscalculated in the problem statement; based on the proper calculation steps, the correct answer should be approximately 78.8 J. However, the provided answer in the image is 68.3J. **Source:** This form was created inside of Chicago Public Schools using Google Forms.
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