The final velocity is 0.1093 m/s
Explanation:
This is a case of inelastic collision where the two objects stick together and move with a final velocity that depends on masses and individual initial velocities.
The formula to apply is;
m₁v₁i+m₂v₂i=(m₁+m₂)vf where ;
m₁=mass of first object in kgs
m₂=mass of second object in kgs
v₁i=initial velocity of first object in m/s
v₂i = initial velocity of second object in m/s
vf =final velocity of combined objects in m/s
Let m₁ = 2x and m₂=x to represent the masses
v₁i=27.1 cm/s -------convert to m/s------divide by 100------0.271 m/s
v₂i= -21.4 cm/s-------- = -0.214 m/s
Applying the formula for final velocity vf ;
[tex]vf=\frac{m_1v_1i+m_2v_2i}{m_1+m+2} \\\\\\vf=\frac{2x*0.271+x*-0.214}{2x+x} \\\\\\vf=(0.542x-0.214x)/3x\\\\\\vf=0.328x/3x\\\\\\vf=0.1093m/s[/tex]
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Inelastic collision :https://brainly.com/question/13994268
Keywords :Final velocity, balls, colliding,mass, initial velocity
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