A91.5 kg football player running east at 3.73 m/s tackles a 63.5 kg player running east at 3.09 m/s. what is their velocity afterward?

Their velocity afterward is  v=3.467 m/s

Explanation:

Given:

Mass of the first football player= 91.5 kg

Initial velocity of the football player 3.73 m/s

Mass of second football player=63.56 kg

Initial velocity of the second football player=3.09 m/s

To find:

Final velocity of both players=?

Solution:

According to the law of conservation of momentum,

Initial momentum =final momentum

mathematically represented as  

...........................(1)

where

=intial velocity of the football player

= inital velocity of second football player

=finall velocity of the  first football player

=final velocity of second football player

after tackling , both the football players moves with the same velocity,

so

Hence equation (1) becomes

now substituting the values,

v=3.467 m/s