Aspring is stretched 6 cm when mass of 200g is hung on it calculate the spring constant of this spring plz it's for my !

This question involves the concept of Hooke's Law.

The value of the spring constant is "32.7 N/m".

HOOKE'S LAW

According to Hooke's Law, the change in length of a spring is directly proportional to the force applied to it. Mathematically,

where,

k = spring constant = ?F = force applied = weight = mg = (0.2 kg)(9.81 m/s²) = 1.962 Nx = change in length = 6 cm = 0.06 m

Therefore,

k = 32.7 N/m

Learn more about Hooke's Law here:

link

Hook's law states that:

where F is the force applied on the spring, k is the spring constant and x the stretch/compression of the spring.
In our problem, the stretch is

while the force applied is the weight of the mass m=200 g=0.2 kg hanging on the spring:

So, we can find the constant of the spring by using Hook's law:

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by  mathematical calculations  before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of  uranus  led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to   spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.