Answer:
10.2 m/s
Explanation:
Work-energy theorem says that the work done is equal to the change in kinetic energy. Kinetic energy is half the mass times the square of the speed.
W = KE − KE₀
W = ½ mv² − ½ mv₀²
W = ½ m (v² − v₀²)
2W / m = v² − v₀²
v² = v₀² + 2W / m
Plugging in values:
v² = (5 m/s)² + 2 (200 J) / (5 kg)
v = 10.2 m/s
