AA golf club has 10 kgm/s of momentum when it hits a golf ball that is at rest. After the collision,
the golf club has a momentum of 1 kgm/s and the golf ball has a momentum of 9 kgm/s. Which of
the following comparisons is true about the change in momentum of the two objects?

AA golf club has 10 kgms of momentum when it hits a golf ball that is at rest After the collision the golf club has a momentum of 1 kgms and the golf ball has a class=

Respuesta :

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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