At what speed does the 1000 Kg compact car have the same kinetic energy as a 20,000 Kg truck going 25m/hr
At what speed does the 1000 Kg compact car have the same kinetic energy as a 20,000 Kg truck going 25m/hr
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![**Question 5:**
At what speed does the 1000 kg compact car have the same kinetic energy as a 20,000 kg truck going 25 m/hr?
**Explanation:**
To solve this problem, we need to understand the concept of kinetic energy, which is given by the formula:
\[ KE = \frac{1}{2} m v^2 \]
Where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass of the object,
- \( v \) is the velocity of the object.
**Steps to solve the problem:**
1. Calculate the kinetic energy of the truck.
- Mass of the truck (\( m_{\text{truck}} \)) = 20,000 kg
- Velocity of the truck (\( v_{\text{truck}} \)) = 25 m/hr
2. Set the kinetic energy of the compact car equal to the kinetic energy of the truck, and solve for the velocity of the compact car.
3. Rearrange the equation to find the speed of the compact car.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F659ca555-9d28-4154-b7a3-72a82930f29f%2F0d3e813b-bbf8-4ca4-9583-3c7de9ae0f2f%2F7e9g5j_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 5:**
At what speed does the 1000 kg compact car have the same kinetic energy as a 20,000 kg truck going 25 m/hr?
**Explanation:**
To solve this problem, we need to understand the concept of kinetic energy, which is given by the formula:
\[ KE = \frac{1}{2} m v^2 \]
Where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass of the object,
- \( v \) is the velocity of the object.
**Steps to solve the problem:**
1. Calculate the kinetic energy of the truck.
- Mass of the truck (\( m_{\text{truck}} \)) = 20,000 kg
- Velocity of the truck (\( v_{\text{truck}} \)) = 25 m/hr
2. Set the kinetic energy of the compact car equal to the kinetic energy of the truck, and solve for the velocity of the compact car.
3. Rearrange the equation to find the speed of the compact car.
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