Question

Doubling which quantity would cause the largest increase in a spring’s elastic potential energy?

Answer 1

on edge it is DISPLACEMENT

Answer 2

potential energy is maximum when streach distance of string is doubled

Step-by-step explanation:

we know that elastic potential energy of a spring is given as

`E_(p)=(1)/(2)kx^2`..................(1)

here k is spring constant

and x is stretched distance of spring

if we double the spring constant then potential energy will be given as

`E_(1)=(1)/(2)* 2kx^2`

`E_(1)=kx^2`...............(2)

similarly if we double the stretch distance then potential energy in spring will be given as

`E_(2)=(1)/(2)* 4kx^2`

`E_(2)=2kx^2`.............(3)

from equation 2 and equation 3 it is clear that

`E_(2)>E_(1)`

it means potential energy is maximum when stretch distance of string is doubled