91Ó°ÊÓ

Is it possible for the momentum of an object to be mc. If not. why not? If so, under what condition?

How fast must an object be moving for its kinetic energy to equal its internal energy?

A proton is accelerated from rest through a potential difference of $\mathbf{500}\mathbf{}\mathit{M}\mathit{V}\mathbf{.}\mathbf{}$

(a) What is its speed?

(b) Classical mechanics indicates that quadrupling the potential difference would double the speed. Were a classical analysis valid, what speed would result from a $\mathbf{2000}\mathbf{}\mathit{M}\mathit{V}$potential difference?

(c) What speed actually results?

Consider the collision of two particles, each of mass m_o. In experiment A, a particle moving at 0.9cstrikes a stationary particle.

1. What is the total kinetic energy before the collision?
2. In experiment B, both particles are moving at a speed u(relative to the lab), directly towards one another. If the total kinetic energy before the collision in experiment B is the same as that in experiment A, what is u?
3. In both particles, the particles stick together. Find the mass of the resulting single particle in each experiment. In which is more of the initial kinetic energy converted to mass?

Question: In the frame of reference shown, a stationary particle of mass m₀ explodes into two identical particles of mass m moving in opposite directions at 0.6c . Momentum is obviously conserved in this frame. Verify explicitly that it is conserved in a frame of reference moving to the right at 0.6c .