Question

Length of a spring is 8 cm when a mass of 4kg is hung on it its length become 16 cm what is it’s spring constant

A.

Answer 1

Answer:

The spring Constant is 500N/m

Step-by-step Explanations :

Given : original (Initial) length of string = 8cm

Final length of string = 16 cm

Mass hanging from string = 4kg

To find : Spring Constant (k) = ?

From given value,

1) Extension in string = final length - Initial length.

x = 16 - 8.

x = 8 cm = 0.08 m ...( 1m = 100cm )

2) Force = m×g = 4 × 10 = 40N

We know that,

F = kx

Where,

F = Force,

k = spring Constant,

x = Extension produced in the string

Substituting the given value in above formula we get,

40 = k × 0.08

k = 40/0.08

k = 500 N/m

Hence the spring Constant is 500N/m