Question

Question 3 part 2 and 3 please?

Answer 1

`x_max`=sqrt{`m_1`u²- [(`m_1`u)²] / [`m_1`+`m_2`]/k}

Explanation:

conservation of momentum
`m_1`u= (`m_1`+`m_2`)V

conservation of energy
`1/2` `m_1`u²=`1/2` `m_1`V² + `1/2` `m_2`V²+`1/2`k`x_max`²

`m_1`u²-(`m_1`+`m_2`)V²=k`x_max`²

`m_1`u²- [(`m_1`u)²] / [`m_1`+`m_2`]=k`x_max`²

`x_max`=sqrt{`m_1`u²- [(`m_1`u)²] / [`m_1`+`m_2`]}/k