Answer:
v₂ = 93.33 [m/s]
Explanation:
In order to solve this problem, we must apply the definition of momentum and amount of movement, which can be calculated by means of the following expression.
[tex]P=m*v[/tex]
where:
P = momentum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
The amount of movement before and after the impact should be analyzed.
[tex](m_{1}*v_{1})+Imp_{1-2}=(m_{1}*v_{2})[/tex]
where:
m₁ = mass of the ball = 0.045 [kg]
v₁ = velocity of the ball before the hit = 0
Imp₁₋₂ = Impulse [kg*m/s]
v₂ = velocity after the hit [m/s]
[tex](0.045*0)+4.2=(0.045*v_{2})\\4.2 = 0.045*v_{2}\\v_{2}= 93.33 [m/s][/tex]