The Uncertainty Relation for Position and Momentum

[knowLittle]

Homework Statement

The position of a 60-gram golf ball sitting on a tee is
determined within +- 1μm. What is its minimum possi-
ble energy? Moving at the speed corresponding to this
kinetic energy, how far would the ball move in a year?

Homework Equations

$K\geq\dfrac {\hbar ^{2}} {2ma^{2}}$ Minimum Possible Kinetic E.

The Attempt at a Solution

I have solved it using the above equation. But, I wonder, if I should consider rest energy as well.

When they ask the second question, I sort of think that they only want this minimum kinetic E.
Any ideas?

Danke.

 

[mfb]

Just the kinetic energy is interesting here.

 

[knowLittle]

Why?

 

[mfb]

You can calculate both if you like, but the rest energy cannot be accessed here (as you do not have an anti-golfball), and you are not dealing with relativistic velocities.