Answer:
the rotational inertia of the cylinder = 4.85 kgm²
the mass moved 7.942 m/s
Explanation:
Formula for calculating Inertia can be expressed as:

For calculating the rotational inertia of the cylinder ; we have;




I ≅ 4.85 kgm²
mg - T ma and RT = I ∝
T = 


a = 4.1713 m/s²
Using the equation of motion

The potential energy of the lemming is 1.53 J
Explanation:
The potential energy (PE) of an object is the energy possessed by the object due to its position in the Earth's gravitational field, and it is given by:

where:
m is the mass of the object
is the acceleration of gravity
h is the height of the object relative to the ground
In this problem:
m = 0.0780 kg is the mass of the lemming
We want to find the potential energy when the height is
h = 2.00 m
Therefore, we find:

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Answer:
the soap sinks because it is more dense than the duck.
You're right, Answer C
The dust and gas accumulate to form a solar nebula, which later on creates the star and the planets.