Answer:
5 m/s
Explanation:
Work is force times distance.
W = Fd
Force is mass times acceleration.
W = ma d
Acceleration is change in velocity over change in time.
W = m Δv / Δt d
Distance over time is average velocity.
W = m Δv v_avg
W = m (v − v₀) (v + v₀) / 2
W = m (v² − v₀²) / 2
Plugging in values:
50 J = 4 kg (v² − (0 m/s)²) / 2
25 m²/s² = v²
v = 5 m/s
