An ambitious physics major decides to check out the Uncertainty Principle for macroscopic systems. She goes to the top of the UD tower and drops a marble of mass m to the ground, trying to hit one of the cracks between bricks on the mall. To aim her marble, she teeters precariously directly over the desired crack and uses a very sophisticated apparatus of the highest possible precision, which she has borrowed from the General Physics Lab. Alas, try as she might, she cannot hit the crack. Required:
Prove that the marble will inevitably miss the crack.

The order =

Explanation:

To miss the crack at a given distance is apparently not the same as the uncertainty that occurred in the distance while falling from the tower. However, it is believed that the uncertainties in both cases appear to be the same.

So, let's work it out together

According to Heisenberg's uncertainty principle:

Also; if we recall from the equation of motion that:

So, if u = 0 and a = g

Then;

From (2)

Making (s) the subject, we have:

By differentiation;

where;

from uncertainty principle

This implies that:

here;

v = 2gH

So;

Thus, the order =

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.