A22.5 kg chair attached to a spring takes 1.30 s to complete one cycle of oscillation. with an astronaut sitting in the oscillating chair with feet off the floor, a full oscillation cycle takes 2.54 s. what is the astronaut's mass?

85.689 kg is the astronaut's mass.

Explanation:

Given data: m = 22.5 kg   and T = 1.3 sec

So, using the below formula,

Now, after putting the values of m and T in the above equation, we will find out the value of k which is as,

To remove the square root, take square on both sides, we get,

Now, we have the same string but this time we have different mass and different time. So, let the mass of the astronaut is and = 2.54 sec, k= 525.7 kg. Apply these values in the equation, we get,

Taking squares on both sides, we get,

0.93xc=0.93x3x10^8m/s

2.54cm is 1 inch

360seconds i 1 hr