Final Velocity = 4.65 m/s
From the question, we have
Mass of player one M1= 98.5kg
Initial Velocity U1= 6.05m/s
Mass of player two M2= 119kg
Initial velocity U2= -3.50m/s
Final Velocity = V
Utilizing the idea of linear momentum conservation,
M1U1 + M2U2 = (M1+M2)V
98.5*6.05 + 119*3.50 = (98.5+119)*V
595.925 + 416.5 = 217.5V
1012.425 = 217.5V
V = 1012.425/217.5
V = 4.65 m/s
Principle of conservation of linear momentum:
According to the conservation of momentum, the total momentum before and after a collision will be the same if there is no external force acting on the colliding objects.
Complete question:
Two football players collide head-on in midair while trying to catch a thrown football. The first player is 98.5 kg and has an initial velocity of 6.05 m/s, while the second player is 119 kg and has an initial velocity of −3.50 m/s. What is their velocity (in m/s) just after impact if they cling together? (Indicate the direction with the sign of your answer.)
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