Answer :
Answer:
The change in momentum is 664.2 kgm/s in the westward direction.
Explanation:
Considering eastward direction as positive and westward direction as negative.
Given:
Mass of the running back is, [tex]m=82\ kg[/tex]
Initial velocity of the running back is, [tex]u=5.6\ m/s[/tex]
Final velocity of the running back is, [tex]v=-2.5\ m/s[/tex]
Now, we know that, momentum is given as the product of mass and velocity.
So, initial momentum of the running back is given as:
[tex]p_i=mu=82\times 5.6=459.2\ kgms^{-1}[/tex]
Final momentum of the running back is given as:
[tex]p_f=mv=82\times -2.5=-205\ kgms^{-1}[/tex]
Now, change in momentum is given as the difference of final momentum and initial momentum.
Change in momentum = Final momentum - Initial momentum
⇒ [tex]\Delta p=p_f-p_i[/tex]
⇒ [tex]\Delta p=-205 - 459.2 = -664.2\ kgms^{-1}[/tex]
Therefore, the change in momentum is 664.2 kgm/s in the westward direction as the value is negative.