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Answer :
Sure, let's solve the problem step by step.
To find the kinetic energy of the car, you can use the formula for kinetic energy:
[tex]\[ KE = \frac{1}{2} \times m \times v^2 \][/tex]
Step-by-Step Solution:
1. Identify the variables:
- Mass ([tex]\( m \)[/tex]) of the car is [tex]\( 8 \, \text{kg} \)[/tex].
- Velocity ([tex]\( v \)[/tex]) of the car is [tex]\( 4 \, \text{m/s} \)[/tex].
2. Square the velocity:
- [tex]\( v^2 = 4^2 = 16 \, \text{(m/s)}^2 \)[/tex].
3. Multiply the mass by the squared velocity:
- [tex]\( m \times v^2 = 8 \times 16 = 128 \, \text{kg} \cdot \text{(m/s)}^2 \)[/tex].
4. Multiply by [tex]\( \frac{1}{2} \)[/tex]:
- [tex]\( KE = \frac{1}{2} \times 128 = 64 \, \text{Joules (J)} \)[/tex].
So, the kinetic energy of the car is [tex]\( 64 \, \text{J} \)[/tex].
Therefore, the correct answer is:
[tex]\[ 64 \, \text{J} \][/tex]
To find the kinetic energy of the car, you can use the formula for kinetic energy:
[tex]\[ KE = \frac{1}{2} \times m \times v^2 \][/tex]
Step-by-Step Solution:
1. Identify the variables:
- Mass ([tex]\( m \)[/tex]) of the car is [tex]\( 8 \, \text{kg} \)[/tex].
- Velocity ([tex]\( v \)[/tex]) of the car is [tex]\( 4 \, \text{m/s} \)[/tex].
2. Square the velocity:
- [tex]\( v^2 = 4^2 = 16 \, \text{(m/s)}^2 \)[/tex].
3. Multiply the mass by the squared velocity:
- [tex]\( m \times v^2 = 8 \times 16 = 128 \, \text{kg} \cdot \text{(m/s)}^2 \)[/tex].
4. Multiply by [tex]\( \frac{1}{2} \)[/tex]:
- [tex]\( KE = \frac{1}{2} \times 128 = 64 \, \text{Joules (J)} \)[/tex].
So, the kinetic energy of the car is [tex]\( 64 \, \text{J} \)[/tex].
Therefore, the correct answer is:
[tex]\[ 64 \, \text{J} \][/tex]
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