The potential energy near a black hole has the shape shownbelow:
The figure shows the potential energy U(r) as a function ofdistance r for a black hole. The
black hole itself is located at r = 0, where the energy isundefined. U(r) goes to 0 as r ! 1.
1. Locate the stable equilibrium point on the graph, and label thepoint with the letter
âAâ. Locate the unstable equilibrium point on the graph, and labelit with the letter
âBâ.
2. If the total energy of the system is E = â2, as represented bythe dashed line, label
the turning points with numbers. (In other words, if there is oneturning point, label
it â1â, if there are two, label them â1â and â2â, etc.)
3. What is the kinetic energy of a particle with total energy E =â2 at the location of
the big dot?
4. Describe the motion of an object with total energy E = â2 thatstarts at the location
of the big dot.
The potential energy near a black hole has the shape shown below: The figure shows the potential energy U(r) as a function of distance r for a black hole. The black hole itself is located at r = 0, where the energy is undefined. U(r) goes to 0 as r ! 1. 1. Locate the stable equilibrium point on the graph, and label the point with the letter A. Locate the unstable equilibrium point on the graph, and label it with the letter B. 2. If the total energy of the system is E = ?2, as represented by the dashed line, label the turning points with numbers. (In other words, if there is one turning point, label it 1, if there are two, label them 1 and 2, etc.) 3. What is the kinetic energy of a particle with total energy E = ?2 at the location of the big dot? 4. Describe the motion of an object with total energy E = ?2 that starts at the location of the big dot.