You serve a volleyball with a mass of 1.8 kg. The ball leaves your hand at 35 m/s. What is the kinetic energy of the ball?
You serve a volleyball with a mass of 1.8 kg. The ball leaves your hand at 35 m/s. What is the kinetic energy of the ball?
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![**Problem Statement:**
You serve a volleyball with a mass of 1.8 kg. The ball leaves your hand at 35 m/s. What is the kinetic energy of the ball?
**Solution Approach:**
To find the kinetic energy (KE) of the volleyball, use the kinetic energy formula:
\[ KE = \frac{1}{2} m v^2 \]
where
- \( m \) is the mass of the object (1.8 kg),
- \( v \) is the velocity of the object (35 m/s).
**Solution Steps:**
1. Plug the given values into the formula:
\[ KE = \frac{1}{2} \times 1.8 \, \text{kg} \times (35 \, \text{m/s})^2 \]
2. Calculate the velocity squared:
\[ 35^2 = 1225 \, \text{m}^2/\text{s}^2 \]
3. Continue with the calculation:
\[ KE = 0.9 \, \text{kg} \times 1225 \, \text{m}^2/\text{s}^2 \]
4. Complete the multiplication:
\[ KE = 1102.5 \, \text{J} \]
**Conclusion:**
The kinetic energy of the volleyball as it leaves your hand is 1102.5 joules.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48bd6822-9068-4ca2-96f1-7484e9f33700%2F2e7e2332-c9eb-4f1c-90c7-29d98b0680c9%2Fsnp2fv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
You serve a volleyball with a mass of 1.8 kg. The ball leaves your hand at 35 m/s. What is the kinetic energy of the ball?
**Solution Approach:**
To find the kinetic energy (KE) of the volleyball, use the kinetic energy formula:
\[ KE = \frac{1}{2} m v^2 \]
where
- \( m \) is the mass of the object (1.8 kg),
- \( v \) is the velocity of the object (35 m/s).
**Solution Steps:**
1. Plug the given values into the formula:
\[ KE = \frac{1}{2} \times 1.8 \, \text{kg} \times (35 \, \text{m/s})^2 \]
2. Calculate the velocity squared:
\[ 35^2 = 1225 \, \text{m}^2/\text{s}^2 \]
3. Continue with the calculation:
\[ KE = 0.9 \, \text{kg} \times 1225 \, \text{m}^2/\text{s}^2 \]
4. Complete the multiplication:
\[ KE = 1102.5 \, \text{J} \]
**Conclusion:**
The kinetic energy of the volleyball as it leaves your hand is 1102.5 joules.
Transcribed Image Text:A 75 kg refrigerator is located on the 85th floor of a skyscraper (300 meters above the ground). What is the potential energy of the refrigerator?
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