Answer :
Answer:
v₁ = 54 cm/s
Explanation:
This question can be solved using the law of conservation of momentum:
[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]
where,
m₁ = m₂ = m = mass of both balls
u₁ = pre-collision speed of cue ball = 82 cm/s
u₂ = pre-collision speed of 5-ball = 24 cm/s
v₁ = post-collision speed of cue ball = ?
v₂ = post-collision speed of 5-ball = 52 cm/s
Therefore,
[tex]m(82\ cm/s)+m(24\ cm/s)=m(v_1)+m(52\ cm/s)\\v_1 = 82\ cm/s + 24\ cm/s - 52\ cm/s\\[/tex]
v₁ = 54 cm/s