To find the velocity of the car, we can use the formula for kinetic energy:
KE = (1/2)mv²
Where: KE = kinetic energy m = mass of the car v = velocity of the car
Given that the car gains a kinetic energy of 80,000 J and has a mass of 2000 kg, we can rearrange the formula to solve for the velocity:
80,000 J = (1/2)(2000 kg)v²
Dividing both sides by (1/2)(2000 kg):
80,000 J / [(1/2)(2000 kg)] = v²
Simplifying:
v² = 80,000 J / (1/2)(2000 kg) v² = 80,000 J / 1000 kg v² = 80 m²/s²
Taking the square root of both sides:
v = √(80 m²/s²) v ≈ 8.94 m/s
Therefore, the velocity of the car is approximately 8.94 m/s.