Question

An object is suspended from a spring with force constant 10 N/m. (c) Find the mass suspended from this spring that would result in a period of 2.4 s on Earth. 0.142 Incorrect: Your answer is incorrect. Use the expression for the period of oscillation for a mass attached to a spring to find the mass of the object. kg (d) Find the mass suspended from this spring that would result in a period of 2.4 s on Mars. 0.142 Incorrect: Your answer is incorrect.

Answer 1

To solve this problem we must use the perioricity equations given as a function of the mass and spring constant. Mathematically this can be expressed as:

$T = 2\pi \sqrt{\frac{m}{k}}$

m = mass

k = Spring constant

Re-arrange to find the mass we have

$m = \frac{T^2k}{4\pi^2 }$

Replacing with our values we have that

$m = \frac{2.4^2*10}{4\pi^2}$

$m = 1.459kg$

D) Mass is independent of acceleration due to gravity (as you can see at the equation previously given) for this reason the mass suspended on mars is given as the same found. Therefore the mass would be

m = 1.459kg