in a game of pool, a 0.4 kg cue ball is traveling at +0.80 m/s when it hits a slower striped ball moving at…

in a game of pool, a 0.4 kg cue ball is traveling at +0.80 m/s when it hits a slower striped ball moving at +0.38 m/s. after the collision, the striped ball moves off at +0.62 m/s. what is the magnitude of the final velocity of the cue ball? assume all pool balls have the same mass. 0.20 m/s 0.56 m/s 1.0 m/s 1.8 m/s

in a game of pool, a 0.4 kg cue ball is traveling at +0.80 m/s when it hits a slower striped ball moving at +0.38 m/s. after the collision, the striped ball moves off at +0.62 m/s. what is the magnitude of the final velocity of the cue ball? assume all pool balls have the same mass. 0.20 m/s 0.56 m/s 1.0 m/s 1.8 m/s

Answer

Explanation:

Step1: Apply conservation of momentum

$m_1u_1 + m_2u_2=m_1v_1 + m_2v_2$. Since $m_1 = m_2=m$ (same - mass balls), the equation simplifies to $u_1 + u_2=v_1 + v_2$.

Step2: Identify the given values

Let $u_1 = 0.80\ m/s$, $u_2 = 0.38\ m/s$, and $v_2 = 0.62\ m/s$.

Step3: Solve for $v_1$

$v_1=u_1 + u_2 - v_2$. Substitute the values: $v_1=0.80 + 0.38-0.62$. $v_1 = 0.56\ m/s$.

Answer:

0.56 m/s