Here is the full question:
The rotational inertia I of any given body of mass M about any given axis is equal to the rotational inertia of an equivalent hoop about that axis, if the hoop has the same mass M and a radius k given by:

The radius k of the equivalent hoop is called the radius of gyration of the given body. Using this formula, find the radius of gyration of (a) a cylinder of radius 1.20 m, (b) a thin spherical shell of radius 1.20 m, and (c) a solid sphere of radius 1.20 m, all rotating about their central axes.
Answer:
a) 0.85 m
b) 0.98 m
c) 0.76 m
Explanation:
Given that: the radius of gyration
So, moment of rotational inertia (I) of a cylinder about it axis = 





k = 0.8455 m
k ≅ 0.85 m
For the spherical shell of radius
(I) = 




k = 0.9797 m
k ≅ 0.98 m
For the solid sphere of radius
(I) = 




k = 0.7560
k ≅ 0.76 m
Answer:
B Eight light-minutes
Explanation:
In the case when the distance separated earth and the sun so here we orbit the sun for a 150 million km distance and the light moves would be 300,000 kilometers per second
Now divide this
= 150 million ÷ 300,000 kilometers per second
= 500 seconds
This 500 seconds represent 8 minutes and 20 seconds
Hence, option B is correct
Answer:
The maximum load that this person is able to lift is 34.3 N
Explanation:
Applying the balancing torque, the expression is equal:
F₁L₁ = F₂L₂

Where
g = 9.8 m/s² = gravity
L₁ = 0.8 m
F₂ = 527 N
L₂ = 6 - 0.8 = 5.2 m
Replacing and clearing the mass m:

The maximum load that this person is able to lift is:
F = m * g = 3.5 * 9.8 = 34.3 N
The force exerted on the cart 2 during the collision is 2 N.
The given parameters:
- <em>Mass of cart 1 = m1 = 1 kg</em>
- <em>Mass of cart 2 = m2 = 2kg</em>
- <em>Force applied on cart 1 = 2 N</em>
According to Newton's third law of motion, action and reaction are equal and opposite. The force exerted on cart 1 is equal in magnitude to the force exerted on cart 2 but in opposite direction.


Thus, the force exerted on the cart 2 during the collision is 2 N.
Learn more about Newton's third law of motion here: brainly.com/question/13874955