A bullet of mass m moving horizontally with speed v0 hits a wooden block of mass M that is suspended from a massless string. The bullet gets lodged into the block and comes into halt. If the block-bullet combine swings to a maximum height h, then how much of the initial kinetic energy of the bullet is lost in the collision?
1
\(\rm \frac{1}{2}mv^2_0\left(\frac{M}{m+M}\right) \)
2
\(\rm \frac{1}{2}mv^2_0\left(\frac{M+m}{M}\right) \)
3
\(\rm \frac{1}{2}mv^2_0\left(\frac{M^2}{(m+M)^2}\right) \)
4
\(\rm \frac{1}{2}mv^2_0\left(\frac{(M+m)^2}{M^2}\right) \)