The free-fall acceleration on Mars is 3.7 m/s2.

(a) What length pendulum has a period of 4 s on the earth?
cm
What length pendulum would have a 4 s period on Mars?
cm
(b) A mass is suspended from a spring with force constant 10 N/m. Find the mass suspended from this spring that would result in a 4 s period on Earth and on Mars.
Earth kg
Mars kg

I know the formulas, but for some reason I'm not getting it. How do I solve for L? Is it 2*pi*2*g? I'm confused.
The period of a pendulum is
2*pi*sqrt(L/g)

The period of a spring/mass system is
P = 2*pi*sqrt(m/k)

1 answer

period=2PI sqrt(L/g)

square both sides.

T^2=4PI^2 * L/g

L= g*T^2/(4PI^2)

go after mass the same way.