- #26

- 105

- 18

I've written the momentum equation:

$$\left ( F_2-F_1 \right)\Delta t=\left ( m_1+m_2 \right )v_{com}=m_1v_1+m_2v_2$$

and Energy equation :

$$F_1x_1+F_2x_2=\frac{1}{2}m_1v_1^{2}+\frac{1}{2}m_2v_2^{2}+\frac{1}{2}k\left ( x_1+x_2 \right )^{2}$$

But if I write another equation involving displacement and time, like following:

$$\Delta s=\frac{1}{2}\left ( \frac{F_2-F_1}{m_1+m_2} \right )\Delta t^2$$

then I'm including one more variable ##\Delta s##.

I am not able to write an equation involving displacement and time which doesn't involve a new variable. Where am I going wrong. Please help.