On Earth, a spring stretches by 5.0 cm when a mass of 3.0 kg is suspended from one end. The gravitational field strength on the Moon is
1/6 of that on Earth.
Which mass, on the Moon, would stretch the spring by the same extension?

Reasons too :(
igcse physics

Mass = 18.0 kg

Explanation:

From Hooke's law,

F = ke

where: F is the force, k is the spring constant and e is the extension.

But, F = mg

So that,

mg = ke

On the Earth, let the gravitational force be 10 m/.

3.0 x 10 = k x 5.0

30 = 5k

⇒ k = ................ 1

On the Moon, the gravitational force is of that on the Earth.

m x = k x 5.0

= 5k

⇒ k = ............. 2

Equating 1 and 2, we have;

 =

m =

    = 18.0

m = 18.0 kg

The mass required to produce the same extension on the Moon is 18 kg.

18 kg

Explanation:

On Earth, acceleration of gravity is 10 m/s²

Since weight is a force, the force is 30 N. The value of spring constant is unknown

Spring constant is 6. Now let's find the mass on the Moon

Gravitational acceleration of the moon is 1/6 of that on Earth. Earth's g = 10, so Moon's g = 10/6

The mass is 18 kg

2b2t

explanation:

2b2t