1. Understand the Concepts
* Kinetic Energy: The energy an object possesses due to its motion. It's calculated using the formula: KE = (1/2) * mv², where:
* KE is kinetic energy (in Joules)
* m is mass (in kilograms)
* v is velocity (in meters per second)
2. Set up the Equation
We know:
* KE = 1.5 x 10⁴ J
* m = 80 kg
We need to find:
* v (velocity)
3. Solve for Velocity
* 1.5 x 10⁴ J = (1/2) * 80 kg * v²
* 1.5 x 10⁴ J = 40 kg * v²
* v² = (1.5 x 10⁴ J) / 40 kg
* v² = 375 m²/s²
* v = √375 m²/s²
* v ≈ 19.4 m/s
4. Convert to km/h
* 1 m/s = 3.6 km/h
* 19.4 m/s * 3.6 km/h/m/s ≈ 70 km/h
Therefore, the speedometer reading is approximately 70 km/h.