Answer:
Explanation:
Strain is defined as the ratio of an object's dimensional change when subjected to a force:
where
indicates the alteration in length of the object
signifies the object's initial length
In this case, we have 
and 
, hence the strain is
Answer:
The equivalent distance in kilometers is 4012 ×
km.
Explanation:
It's known that 1 millimeter converts to 
meters. Then, 1 meter converts to kilometers. Therefore, the conversion for 1 millimeter to kilometers can be stated as
1 mm = m
1 m = km
Thus, 1 mm = × km = km.
Given the distance of 4012 mm, the corresponding distance in kilometers will be
4012 mm = 4012 × km.
The distance therefore is 4012 × km.
We will use the equations of rotational kinematics,
(A)
(B)
Here, 
and 
denote the final and initial angular displacements, respectively, whereas 
and 
represent final and initial angular velocities, and 
is the angular acceleration.
We are provided with 
and 
.
By substituting these values into equation (A), we have
Now, using equation (B),
This indicates that the wheel's angular speed at the 4.20-second mark is 36.7 rad/s.
The following values have been provided:
weight w = 240 lb = 1,067.52 N
energy E = 3,000 J
The equation for potential energy is:
E = w h
where h indicates the height that the person needs to ascend, therefore:
h = 3000 / 1067.52
h = 2.81 m
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<span>Thus, he must ascend 2.81 meters</span>
