Work of 36 joules is done on ball A. It travels a certain distance and hits ball B. Ball B, which was stationary, starts to move at 12 m/s. If this is an elastic collision, then what was the initial velocity of ball A? (Both balls have a mass of 500 g. Ignore changes due to friction.)

Respuesta :

here collision between two balls is perfectly elastic collision

and the friction force is considered to be zero

now here we can say that momentum conservation is applicable here

[tex]m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_1v_{2f}[/tex]

here we know that two balls are of same mass then we can say

[tex]m*v + m*0 = m_1v_{1f} + m_1v_{2f}[/tex]

divide whole equation by mass "m"

[tex]v = v_{1f} + v_{2f}[/tex]

now it is also given that it is elastic collision between two balls

[tex]v_{2f} - v_{1f} = v_{1i} - v_{2i}[/tex]

[tex]v_{2f} - v_{1f} = v - 0[/tex]

now by solving the above two equations we have

[tex]v_{2f} = v[/tex]

[tex]v_{1f} = 0[/tex]

so here given that

[tex]v_{2f} = v = 12 m/s[/tex]

so the initial speed of ball A was same as final speed of ball B which is given as 12 m/s.

So here final answer will be 12 m/s

Answer:A.0

Explanations: dk the letter

And I just did this