Final answer:
To find the velocity of a car given its mass of 1120 kg and kinetic energy of 96,000 J, we use the rearranged kinetic energy formula to get approximately 13.1 m/s.
Step-by-step explanation:
The question is asking for the velocity of a car given its mass and kinetic energy. The formula to find kinetic energy (KE) of an object is KE = 1/2 mv², where m is the mass and v is the velocity. We can rearrange this formula to solve for velocity (v) when the mass (m) and kinetic energy (KE) are known.
Given that the kinetic energy (KE) is 96,000 J and the mass (m) of the car is 1120 kg, we can plug these values into the rearranged formula: v = √(2KE/m).
Now, let's calculate the velocity:
v = √(2×96,000 J / 1120 kg) = √(192,000 / 1120) = √(171.42857) ≈ 13.10 m/s.
Therefore, the car is traveling at a velocity of approximately 13.1 meters per second.