Answer :
A) Momentum (p) = Mass (m) × Velocity (v)
Initial momentum (p₀) = (6000 kg)(4 m/s) + (2000 kg)(0 m/s) = 24000 kg·m/s
B) Conservation of Momentum states that the initial momentum must equal the final momentum. Find velocity (v) after collision . . .
(6000 kg)(4 m/s) + (2000 kg)(0 m/s) = (6000 kg)(v m/s) + (2000 kg)(v m/s)
(6000)(4) + (2000)(0) = (6000)v + (2000)v
(24000) + (0) =(6000 + 2000)v
24000 = 8000v
24000/8000 = v
24/8 = v
3 = v
Thus:
v = 3 m/s
Initial momentum (p₀) = (6000 kg)(4 m/s) + (2000 kg)(0 m/s) = 24000 kg·m/s
B) Conservation of Momentum states that the initial momentum must equal the final momentum. Find velocity (v) after collision . . .
(6000 kg)(4 m/s) + (2000 kg)(0 m/s) = (6000 kg)(v m/s) + (2000 kg)(v m/s)
(6000)(4) + (2000)(0) = (6000)v + (2000)v
(24000) + (0) =(6000 + 2000)v
24000 = 8000v
24000/8000 = v
24/8 = v
3 = v
Thus:
v = 3 m/s
The answer is A calculate the monumentum before the collision of the engine.