The kinetic energy (KE) of an object can be calculated using the formula:
\[ KE = \frac{1}{2} mv^2 \]
where:
- \( m \) is the mass (in kilograms)
- \( v \) is the velocity (in meters per second)
Given:
- Mass \( m = 512 \) kg
- Velocity \( v = 18.8 \) m/s
Substituting the values into the formula:
\[ KE = \frac{1}{2} \times 512 \times (18.8)^2 \]
First, calculate \( (18.8)^2 \):
\[ (18.8)^2 = 353.44 \]
Now plug that value into the KE formula:
\[ KE = \frac{1}{2} \times 512 \times 353.44 \] \[ KE = 256 \times 353.44 \] \[ KE \approx 90,480.64 , \text{J} \]
Rounded to one decimal place, the kinetic energy is approximately:
\[ KE \approx 90,480.6 , \text{J} \]
Therefore, the answer is:
90,480.6 J
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