The change in momentum is equal and opposite for the two objects.
The given parameters;
- Initial momentum of the golf club, [tex]P_c_i[/tex] = 10 kgm/s
- Final momentum of the golf ball, [tex]P_c_f[/tex] = 1 kg.m/s
- Initial momentum of the golf ball, [tex]P_b_i[/tex] = 0
- Final momentum of the golf ball, [tex]P_b_f[/tex] = 9 kg.m/s
Considering the principle of conservation of linear momentum, the total initial momentum of the golf club and golf ball must equal the total final momentum of the club and ball.
[tex]P_c_i[/tex] + [tex]P_b_i[/tex] = [tex]P_c_f[/tex] + [tex]P_b_f[/tex]
For the change in the momentum, we will obtain the following;
[tex]P_c_f[/tex] - [tex]P_c_i[/tex] = [tex]P_b_f[/tex] - [tex]P_b_i[/tex]
1 - 10 = 9 - 0
-9 = 9
Thus, we can conclude that the change in momentum is equal and opposite for the two objects.
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