Answer:
The speed of the ball immediately after being caught is 17.66 [tex]\frac{m}{s}[/tex]
Explanation:
Moment is a measurement of mass in motion - how much mass is in how much motion.
On the other hand, momentum is a term that quantifies the general effect of a force acting over time. That is, the momentum exerted on a body is equal to the change in the body's momentum, this is known as the momentum-momentum theorem.
The impulse is the product between a force and the time during which it is applied. It is a vector magnitude:
I=F*Δt
The unit of momentum in the International System (S.I.) is the newton per second (N*s)
In practice it is difficult to estimate the variation of the force over time, so in many cases it is required to define a constant average force that generates the same impulse at particle than that given by when it acts during the time interval . Therefore, considering the average force for the same time interval , the impulse remains defined as:
I = FmΔt
Where the force Fm is calculated as the product between the mass and the acceleration:
Fm = m * a
Being the acceleration the quotient between the variation of speed and time:
[tex]a=\frac{variation of velocity}{time}[/tex]
You get:
I = m*(Δv÷Δt)*Δt
Then:
I=m*Δv
In this case:
Replacing:
8.83 N*s= 0.5 kg*Δv
Solving:
Δv=[tex]\frac{8.83 N*s}{0.5 kg}[/tex]
Δv=17.66 [tex]\frac{m}{s}[/tex]
The speed of the ball immediately after being caught is 17.66 [tex]\frac{m}{s}[/tex]
