Answer:
a. 0.8 cm
Explanation:
The distance of the object from the lens, u = 1 cm
The magnification of the lens, m = 5
The focus of a lens formula is given as follows;
The magnification of the lens, m = -v/u
Where;
v = The distance of the image from the lens
Therefore, we have;
v = m × u
∴ v = 5 × 1 cm = 5 cm (on the other side of the lens)
From which we get;
The focal length ≈ 0.8 cm
Answer:
DL = 1.5*10^-4[m]
Explanation:
First we will determine the initial values of the problem, in this way we have:
F = 60000[N]
L = 4 [m]
A = 0.008 [m^2]
DL = distance of the beam compressed along its length [m]
With the following equation we can find DL
Note: The question should be related with the distance, not with the diameter, since the diameter can be found very easily using the equation for a circular area.
At time seconds, the mass has angular speed
and hence linear speed
After 8 s, its linear speed is
and has centripetal acceleration with magnitude
To maintain this linear speed, by Newton's second law the required centripetal force should have magnitude