Question

A load of 54 N attached to a spring that ishanging vertically stretches the spring 0.15 m.What is the spring constant?Answer in units of N/m.

Answer 1

Answer:

300 N/m

Explanation:

given,

Load attached to the spring, W = 54 N

length of stretch of the spring, x = 0.15 m

spring constant= ?

Force applied on the spring is calculated by the equation

F = k x

where k is the spring constant

x is the displacement of the spring due to applied load

now,

54 = k × 0.15

$k = \dfrac{54}{0.15}$

$k =300\ N/m$

hence, the spring constant is equal to 300 N/m

Answer 2

Answer: The spring constant is 360 N/m

Explanation:

To calculate the spring constant, we use the equation:

$F=kx$       ......(1)

where,

F = force exerted on the spring = 54 N

k = spring constant = ?

x = length of the spring = 0.15 m

Putting values in equation 1, we get:

$54N=k\times 0.15m\\\\k=\frac{54N}{0.15m}=360N/m$

The spring constant is 360 N/m