The natural length of a spring is and its spring constant is . A mass of is hung from it. The extension produced in the spring is (Take g = )
Step 1: Given
Length of spring
Spring constant () =
Acceleration due to gravity () =
Mass (m) =
Step 2: Formula used
The force on string , where is the spring constant and is the elongation in the spring.
Step 3: Find the extension produced in the spring
Weight hung to spring
The force of string (negative sign only as per sign convention and not for calculation). On balancing the forces:
Force applied on string = Downward force on the string
The extension produced in the string is equal to or .