Question

Find the final velocity of two balls colliding head on if the ball with velocity v2i = −21.4 cm/s has a mass equal to half that of the ball with initial velocity v1i = +27.1 cm/s.

Answer 1

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 ;

$vf=\frac{m_1v_1i+m_2v_2i}{m_1+m+2} \\\\\\vf=\frac{2x*0.271+x*-0.214}{2x+x} \\\\\\vf=(0.542x-0.214x)/3x\\\\\\vf=0.328x/3x\\\\\\vf=0.1093m/s$

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Inelastic collision :brainly.com/question/13994268

Keywords :Final velocity, balls, colliding,mass, initial velocity

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