6. OG Review. A block m Q having mass m and charge +Q is connected to an insulat

Question

6. OG Review. A block m Q having mass m and charge +Q is connected to an insulating spring having a force constant k. The block lies on a friction- less, insulating. horizon- tal track, and the system is immersed in a uniform electric field of magni- tude E directed as shown in Figure P20.6. The block is re- leased from rest when the spring is unstretched (at x 0). We wish to show that the ensuing motion of the block is simple harmonic. (a) Consider the system of the block, the spring, and the electric field. Is this system isolated or non- isolated? (b) What kinds of potential energy exist within this system? (c) Call the initial configuration of the system that existing just as the block is released from rest. The final configuration is when the block momentarily comes to rest again. What is the value of x when the block comes to rest momentarily? (d) At some value of x we will call Figure P20.6

Explanation / Answer

here,

a)

the system of block , spring and the electric feild is an isolated system

b)

the spring potential energy and the electric potential energy exists in the system

c)

let the value be x

equating the forces

k*x = q * E

x = q*E/k

d)

the position at which the spring is streched maximum is the position
when spring force = electrostatic force

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