Answer:
Maximum angle = 3.43⁰
Explanation:
Say that you are given the following information:
vertical distance between the charge plate = 0.03 m
length of the plate = 0.5 m
velocity of the electrons = 5 × 10⁶ ms⁻¹
the maximum angle is given by the formula:

where d = vertical distance between the charge plate
l = length of the plate
substituting the values l and d gives:

maximum angle,

= 3.43⁰
Answer:

Explanation:
Since there is no friction angular momentum is conserved. The formula for angular momentum thet will be useful in this case is
. If we call 1 the situation when the student is at the rim and 2 the situation when the student is at
from the center, then we have:

Or:

And we want to calculate:

The total moment of inertia will be the sum of the moment of intertia of the disk of mass
and radius
, which is
, and the moment of intertia of the student of mass
at position
(which will be
or
) will be
, so we will have:

or:

which for our values is:

Answer:
Explanation:
Weight will be highest at the pole where there is no tangential velocity requiring centripetal acceleration. Also, due to the slight bulge of the earth at the equator, the distance from the surface to the center of mass of earth is slightly shorter there meaning gravity is slightly stronger. Fg = GmM/R²
Weight will be lowest at the equator where the object is moving about the earth axis at an angular velocity of 2π/(24(3600)) rad/s ( about 7.27e-5 rad/s)
This means that some of the (already weaker, see above) gravity there is required to supply the needed centripetal acceleration to keep the object on the ground.
22. reduction
25. Le Chatelier's principle
Answer:
The value of variable capacitor is
F
Explanation:
Given :
Inductance
H
Frequency
Hz
According to the cutoff frequency,

Now we find the value of capacitance,


F
Therefore, the value of variable capacitor is
F