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8. A 3.0 x 10' g nerf projectile is fired from a 1.5 kg nerf gun. If the velocity of the projectile is
1.0 x 10 m/s. what is the recoil velocity of the nerf gun? (Answer: 2.0 x 10-1 m/s in the
opposite direction of the projectile). whic is the formule to resol e this problem?​

Answer :

Answer:

[tex]v_g=0.2\ m.s^{-1}[/tex]

Explanation:

Given:

  • mass of nerf projectile, [tex]m_p=30\ g=0.03\ kg[/tex]
  • velocity of nerf projectile, [tex]v_p=10\ m.s^{-1}[/tex]
  • mass of the gun, [tex]m_g=1.5\ kg[/tex]

Now in this case the collision can be assumed to be perfectly elastic.

For an elastic collision:

[tex]m_p.v_p=m_g.v_g[/tex]

where:

[tex]v_g=[/tex] recoil velocity of the gun

[tex]0.03\times 10=1.5\times v_g[/tex]

[tex]v_g=0.2\ m.s^{-1}[/tex]

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