Answer:
total stretch of the double-length spring will be 20 cm
Step-by-step explanation:
given data
length x1 = 10 cm
mass = 1 kg
mass = double = 2 kg
to find out
the total stretch of the double-length spring will be
solution
we can say here spring constant is
k = mg ............1
k is spring constant and m is mass and g is acceleration due to gravity
so for in 1st case and 2nd case with 1 kg mass and 2 kg mass
kx1 = mg .........................2
and
kx2 = 2mg ........................3
x is length
so from equation 2 and 3
![(kx1)/(kx2)= (1mg)/(2mg)](https://img.qammunity.org/2020/formulas/physics/high-school/9cfafljthajkw9zuspo3qkjx6gyiqziwkn.png)
![(x1)/(x2) = (1)/(2)](https://img.qammunity.org/2020/formulas/physics/high-school/lhwk3mjkc4xy0yc2uxrckexbupkav0wk7j.png)
![(10)/(x2) = (1)/(2)](https://img.qammunity.org/2020/formulas/physics/high-school/vvdd35kmfraf3r0lnafsi0ch9rgz5s82ep.png)
x2 = 20
so total stretch of the double-length spring will be 20 cm