Answer:

Explanation:
The translational kinetic energy of the hoop is given by :
..................(1)
M is the mass of the hoop
v is the velocity of the hoop
The rotational kinetic energy of the hoop is given by :

Since, 

..............(2)
From equation (1) and (2) :

Therefore, the ratio of the translational kinetic energy to the rotational kinetic energy is 1.
I know you're probably done with this by now, but the answer is *Lake-Effect Snow*
Complete Question
The complete question is shown on the first uploaded image
Answer:
The strain experienced by the specimen is 0.00116 which is option A
Explanation:
The explanation is shown on the second uploaded image
Answer:
The right answer is "The center of mass doesn't move".
Explanation:
- It generates a voltage throughout the cable while the astronaut falls on either the wire. At other ends of the spectrum or cable, the tension will be similar. As such, with both astronauts, there would be the same energy, although throughout the opposite way.
- Thus, the net force seems to be essentially negative on the machine. And therefore the mass center stays stationary.