Answer to Question #312409 in Mechanics | Relativity for Gell

Question

A 0.5kg basketball moving at 1.4m/s collides with a 1.2kg bowling ball moving at 3.5m/s. After collision, the velocity of the basketball was increased by 0.4m/s. What is the final velocity of the bowling ball?

Answer 1

Solution.

$m_1=0.5 kg;$

$v_1=1.4 m/s;$

$m_2=1.2 kg;$

$v_2=3.5 m/s;$

$u_1=1.8 m/s;$

$u_2 -?;$

$m_1v_1-m_2v_2=-m_2u_2-m_1u_1;$

$m_2u_2=-m_1v_1+m_2v_2-m_1u_1;$

$u_2=\dfrac{-m_1v_1+m_2v_2-m_1u_1}{m_2};$

$u_2=\dfrac{-0.5\sdot1.4+1.2\sdot3.5-0.5\sdot1.8}{1.2}=2.2 m/s;$

Answer: $u_2=2.2 m/s.$