Understanding the Concepts
* Kinetic Energy: The energy an object possesses due to its motion. It's calculated using the formula: KE = (1/2) * m * v²
* KE = Kinetic energy (in Joules)
* m = mass (in kilograms)
* v = velocity (in meters per second)
Solving the Problem
1. Rearrange the kinetic energy formula to solve for velocity:
v² = (2 * KE) / m
2. Plug in the given values:
v² = (2 * 810 J) / 20 kg
3. Calculate:
v² = 81 m²/s²
4. Take the square root of both sides to find the velocity:
v = √81 m²/s² = 9 m/s
Therefore, the object's speed is 9 meters per second.