Respuesta :

rafaleo84

Answer:

V₂ = 19 [m/s]

Explanation:

The final linear momentum will be equal to the sum of the initial momentum plus the momentum received.  By means of the following equation, we can determine the final momentum.

[tex]m_{1}*v_{1} + IMP_{1-2} = m_{2}*v_{2}[/tex]

where:

m₁ = m₂ = mass = 30 [kg]

v₁ = velocity = 11 [m/s]

IMP₁-₂ = 240 [kg*m/s]

v₂ = final velocity [m/s]

[tex](30*11) + 240 = 30*V_{2}\\330 + 240 = 30*V_{2}\\v_{2}=19 [m/s][/tex]

raphealnwobi

The final velocity of the object is 19 m/s

The impulse is given by:

Impulse = m(v - u)

where m is the mass, v is the final velocity and u is the initial velocity.

Given that impulse = 240 kgm/s, u = 11 m/s, m = 30 kg. Hence:

Impulse = m(v - u)

240 = 30(v - 11)

8 = v - 11

v = 19 m/s

The final velocity of the object is 19 m/s

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