Answer:
combined velocity of the football players after impact, v = 2.38 m/s
Step-by-step explanation:
The mass of the first player, m₁ = 81 kg
Mass of the second player, m₂ = 140 kg
The initial velocity of the first player, u₁ = 6.5 m/s
The initial velocity of the second player, u₂ = 0 m/s (Since it is stationary)
Let the combined velocity of the players after impact be v
According to the law of conservation of momentum:
m₁u₁ + m₂u₂ = (m₁ + m₂)v
(81)(6.5) + (140)(0) = (81+140)v
526.5 = 221v
526.5/221 = v
v = 2.38 m/s