To approximate the velocity of a 1200-kilogram car with 360,000 joules of kinetic energy, you can use the formula for kinetic energy:
1. Calculate the velocity using the formula: \( KE = \frac{1}{2} m v^2 \), where KE is the kinetic energy, m is the mass of the object, and v is the velocity.
2. Rearrange the formula to solve for velocity: \( v = \sqrt{\frac{2 \cdot KE}{m}} \)
3. Plug in the values: \( v = \sqrt{\frac{2 \cdot 360000}{1200}} \)
4. Simplify the equation: \( v = \sqrt{600} \approx 24.5 \) m/s
Therefore, the approximate velocity of the 1200-kilogram car with 360,000 joules of kinetic energy is about 24.5 m/s.
