What is the linear size of the smallest box in which you can confine an electron if you want to know for certain that the electron's speed is no more than 13 m/s ? express your answer to two significant figures and include the appropriate units.

the linear size of the smallest box in which you can confine an electron

=7 μm

Explanation:

From the uncertainity principle we can write that

x= position of electron

p= momentum of electron

h= planks constant

here the moving of electron will taken two times

as the electrons are going and reflected from the wall of the box

so the velocity Δv= 2*13= 26 m/s

now putting the values of all the variables in the above equation

⇒Δx= 7×10^{-6} m

=7 μm

i think it would be 80 km/h because 30 + 50 = 80 (sorry if this not the right answer i'm trying my best)

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.