Question

It would be greatly appreciated if you plug in the numbers according to the format of my worksheet.

Answer 1

a. List variables

`\begin{gathered} m_(1i)=\text{ 0.015 kg} \\ v_(1i)=\text{ 0.225 m/s} \\ m_(2i)=\text{ 0.03 kg} \\ v_(2i)\text{ =-0.18 m/s} \\ m_(1f)=\text{ 0.015 kg} \\ v_(1f)=-0.315\text{ kg} \\ m_(2f)=\text{ 0.03 kg} \\ v_(2f)\text{ = ?} \end{gathered}`

b. plug into the equation

`\begin{gathered} m_(1i)v_(1i)+m_(2i)v_(2i)=m_(1f)v_(1f)+m_(2f)v_(2f) \\ 0.015*0.225+0.03\text{ }*(-0.18)=0.015*(-0.315)+0.03(v_(2f)) \end{gathered}`

c. solve for missing

`\begin{gathered} v_(2f)=(0.015*0.225+0.03(-0.18)-0.015*(-0.315))/(0.03) \\ =0.09\text{ m/s} \end{gathered}`