The following is the problem that I am working on.
Three different objects each with mass $m_1<m_2<m_3$ is launched from the same height $h$ with three different angles $\theta_1 < \theta_2 < \theta_3$. Each object has the same initial kinetic energy, $k$. Which object has the greatest speed just as it impacts with the ground ?
This is my claim.
The total mechanical energy of the three objects, say, $M_1,M_2$ and $M_3$ can be calculated as $$M_1 = K+m_1gh$$ $$M_2=K+m_2gh$$ $$M_3=K+m_3gh$$
Since the initial kinetic energy is the same for all three, the one with the largest mass, $m_3$ has the largest mechanical energy.
So I am thinking that since the height equals $0$ at the moment of impact, and all potential energy is converted into kinetic energy, the one with the largest total mechanical energy is the one with the fastest speed.
Yet, the answer says that it is the one with the smallest mass is the one with the greatest speed.
Can someone explain me this situation ?