Question

V (ZJ) 6- 4- 2- 0- 2 4 6 8 10 12 14 16 x (nm) -2- -4- -6- You may assume that the big atom's mass is much larger than the little atom's mass, so that the big atom is always at rest. Assume also that the little atom can only move along the x axis and that $V(x)\rightarrow 0$ smoothly as $x \rightarrow \infty$. (a) Unless you're super awesome, you probably don't already know what the metric prefix \"zepto\" means. Look it up and report your findings. (b) Suppose that the little atom starts out at rest at $x = 4$ nm. How much total energy does the system have? (c) Imagine that the little atom starts out extremely far away, approaching the big atom with a kinetic energy of 2 zeptoJoules. How much kinetic energy does it have left when it gets to be 13 nm away from the big atom? Hint: Use energy conservation total energy at the start is the same as total energy at any later time (since nothing is interacting with the system from outside). (d) Imagine that the little atom starts out extremely far away, approaching the big atom with a kinetic energy of 2 zJ. How close to the big atom does it get? (e) Imagine that the little atom starts out extremely far away, approaching the big atom with a kinetic energy of 6 zJ. How close to the big atom does it get?

          V (ZJ)
6-
4-
2-
0-
2 4 6 8 10 12 14 16
x (nm)
-2-
-4-
-6-
You may assume that the big atom's mass is much larger than the little atom's mass, so that the big atom is
always at rest. Assume also that the little atom can only move along the x axis and that $V(x)\rightarrow 0$ smoothly
as $x \rightarrow \infty$.
(a) Unless you're super awesome, you probably don't already know what the metric prefix \"zepto\" means.
Look it up and report your findings.
(b) Suppose that the little atom starts out at rest at $x = 4$ nm. How much total energy does the system have?
(c) Imagine that the little atom starts out extremely far away, approaching the big atom with a kinetic energy
of 2 zeptoJoules. How much kinetic energy does it have left when it gets to be 13 nm away from the big
atom?
Hint: Use energy conservation total energy at the start is the same as total energy at any later time
(since nothing is interacting with the system from outside).
(d) Imagine that the little atom starts out extremely far away, approaching the big atom with a kinetic energy
of 2 zJ. How close to the big atom does it get?
(e) Imagine that the little atom starts out extremely far away, approaching the big atom with a kinetic energy
of 6 zJ. How close to the big atom does it get?

V (ZJ)
6-
4-
2-
0-
2 4 6 8 10 12 14 16
x (nm)
-2-
-4-
-6-
You may assume that the big atom's mass is much larger than the little atom's mass, so that the big atom is
always at rest. Assume also that the little atom can only move along the x axis and that V(x)→ 0 smoothly
as x →∞.
(a) Unless you're super awesome, you probably don't already know what the metric prefix z̈eptom̈eans.
Look it up and report your findings.
(b) Suppose that the little atom starts out at rest at x = 4 nm. How much total energy does the system have?
(c) Imagine that the little atom starts out extremely far away, approaching the big atom with a kinetic energy
of 2 zeptoJoules. How much kinetic energy does it have left when it gets to be 13 nm away from the big
atom?
Hint: Use energy conservation total energy at the start is the same as total energy at any later time
(since nothing is interacting with the system from outside).
(d) Imagine that the little atom starts out extremely far away, approaching the big atom with a kinetic energy
of 2 zJ. How close to the big atom does it get?
(e) Imagine that the little atom starts out extremely far away, approaching the big atom with a kinetic energy
of 6 zJ. How close to the big atom does it get?

Added by Paul O.

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