The final velocity of a 100-kg rugby player which collides head-on with a padded goal post is 53 m/s.
The change in momentum (p) over the change in time (t) equals force (F).
then,
F = [tex]\Delta\\[/tex]p / t
[tex]\Delta\\[/tex]p = F x t
[tex]\Delta p = F_{net} t \\\Delta p = mv' - mv\\mv' - mv= F_{net} t \\mv' = mv + F_{net} t[/tex]
m = 100kg
v = 8 m/s
F = 0.9 x 10⁴ N
t = 0.5 second
using these values in above equation we can calculate final velocity as :
100v' = 0.9 x 10⁴x 0.5 + 100 x 8
100v' = 4500 + 800
100v' = 5300
v' = 5300/100
100v' = 53 m/s.
The final velocity of a 100-kg rugby player which collides head-on with a padded goal post is 53 m/s.
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