At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
Let’s determine the kinetic energy of the race car using the known formula for kinetic energy.
1. Identify the given values:
- Mass ([tex]\( m \)[/tex]) of the race car: [tex]\( 700 \, \text{kg} \)[/tex]
- Velocity ([tex]\( v \)[/tex]) of the race car: [tex]\( 80 \, \text{m/s} \)[/tex]
2. Recall the formula for kinetic energy ([tex]\( KE \)[/tex]):
[tex]\[ KE = \frac{1}{2} m v^2 \][/tex]
3. Substitute the known values into the formula:
[tex]\[ KE = \frac{1}{2} \times 700 \, \text{kg} \times (80 \, \text{m/s})^2 \][/tex]
4. Calculate the velocity squared:
[tex]\[ (80 \, \text{m/s})^2 = 6400 \, \text{m}^2/\text{s}^2 \][/tex]
5. Multiply mass by the squared velocity:
[tex]\[ 700 \, \text{kg} \times 6400 \, \text{m}^2/\text{s}^2 = 4480000 \, \text{kg} \cdot \text{m}^2/\text{s}^2 \][/tex]
6. Divide by 2 to find the kinetic energy:
[tex]\[ KE = \frac{1}{2} \times 4480000 \, \text{kg} \cdot \text{m}^2/\text{s}^2 = 2240000 \, \text{J} \][/tex]
7. Thus, the kinetic energy of the race car is:
[tex]\[ KE = 2240000 \, \text{J} = 2.24 \times 10^6 \, \text{J} \][/tex]
Therefore, the correct answer is option D: [tex]$2.24 \times 10^6 \, J$[/tex].
1. Identify the given values:
- Mass ([tex]\( m \)[/tex]) of the race car: [tex]\( 700 \, \text{kg} \)[/tex]
- Velocity ([tex]\( v \)[/tex]) of the race car: [tex]\( 80 \, \text{m/s} \)[/tex]
2. Recall the formula for kinetic energy ([tex]\( KE \)[/tex]):
[tex]\[ KE = \frac{1}{2} m v^2 \][/tex]
3. Substitute the known values into the formula:
[tex]\[ KE = \frac{1}{2} \times 700 \, \text{kg} \times (80 \, \text{m/s})^2 \][/tex]
4. Calculate the velocity squared:
[tex]\[ (80 \, \text{m/s})^2 = 6400 \, \text{m}^2/\text{s}^2 \][/tex]
5. Multiply mass by the squared velocity:
[tex]\[ 700 \, \text{kg} \times 6400 \, \text{m}^2/\text{s}^2 = 4480000 \, \text{kg} \cdot \text{m}^2/\text{s}^2 \][/tex]
6. Divide by 2 to find the kinetic energy:
[tex]\[ KE = \frac{1}{2} \times 4480000 \, \text{kg} \cdot \text{m}^2/\text{s}^2 = 2240000 \, \text{J} \][/tex]
7. Thus, the kinetic energy of the race car is:
[tex]\[ KE = 2240000 \, \text{J} = 2.24 \times 10^6 \, \text{J} \][/tex]
Therefore, the correct answer is option D: [tex]$2.24 \times 10^6 \, J$[/tex].
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.