Question

I need help filling out this worksheet with the correct numbers. I would appreciate if you help me put numbers according to the format.

Answer 1

a. List variables

`\begin{gathered} m_(1i)=\text{ 0.16 kg} \\ v_(1i)=\text{ 8 m/s} \\ m_(2i)=\text{ 0.16 kg} \\ v_(2i)=\text{ 0 m/s} \\ m_(1f)=\text{0.16kg} \\ v_(1f)\text{ = 0 m/s} \\ m_(2f)\text{ = 0.16 kg} \\ v_(2f)\text{ =?} \end{gathered}`

b. Plug into the equation

`\begin{gathered} m_(1i)v_(1i)+m_(2i)v_(2i)\text{ = m}_(1f)v_(1f)+m_(2f)v_(2f) \\ 0.16*8+0.16*0=0.16*0+0.16* v_(2f) \end{gathered}`

C. solve for unknown

`\begin{gathered} v_(2f)=(0.16*8)/(0.16) \\ =\text{ 8 m/s} \end{gathered}`