On Tuesday President Obama addressed the nation's youth in about as apolitical a speech as you'll find. He encouraged students to stay in school, work hard, not let their country down, etc. It was a good speech, but probably more interesting than the speech was peoples' reaction to the fact that he gave it. Aside from the individual extremists fearing their children's indoctrination, some school districts would not allow the speech to be shown, read, or assigned to be watched at home without parental permission (censorship?). Even if it were a politically charged speech, prohibiting our children from listening to our president is disturbing to me. Speech number two addressed a joint session of congress to recharge the health care reform effort. There were no bans on children watching this one, and we even had a British parlament-esque moment with the "You lie!" outburst. As for the content of the speech, I came away less fearful of the president's ...
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So, how do you explain the fact that the second block seems to having more energy?
The trick is that you can't use conservation of mechanical (kinetic and potential) energy with inelastic collisions since there is always heat (aka thermal energy) created in the process. The bullet in the non-rotating block will have penetrated deeper into the wood and thus created more heat (this is not only evident from its lesser energy but also from considering that the spinning block would start moving away from the bullet sooner than the non-spinning block).
The simplest way to think about the situation is in terms of momentum. Linear momentum is always conserved, so the fact that the bullets had nearly identical momenta before the collision tells you that the blocks will have identical vertical momenta and thus reach the same height.
Let's see. If we imagine firing bouncy balls at the blocks of wood, we now have to consider what happens to the rebounding ball as well. It's safe to assume that the ball shot at the middle of the block would rebound back with a greater velocity than the other one (since the other block gives more as it starts to rotate).
From an energy perspective, the ball rebounding off the middle of the block keeps a greater portion of its initial energy, so the off center block gets more energy from the collision. But it's splitting that energy between potential and rotational. So energy doesn't give us a definitive answer.
Momentum is our friend once again. It tells us that the block hit in the middle will go higher because the ball with the larger velocity in the opposite direction had a greater change in momentum and thus gave the block more upward momentum.
Nice physics intuition Ryan.