Answer:
Explanation:
Using second degree taylor polynomials
let be position function and set
where S(0) is the initial position
Then and
we have ,
so
b.) yes
Answer:
, assuming that the speed of the electron stays the same.
Explanation:
Let denote the speed of this electron. Let denote the electric charge on this electron. Let denote the mass of this electron.
Since the path of this electron is a circle (not a helix,) this path would be in a plane normal to the magnetic field.
Let denote the strength of this magnetic field. The size of the magnetic force on this electron would be:
.
Assuming that there is no other force on this electron. The net force on this electron would be . By Newton's Second Law of motion, the acceleration of this electron would be:
.
On the other hand, since this electron is in a circular motion with a constant speed:
.
Combine the two equations to obtain a relationship between (radius of the path of the electron) and (strength of the magnetic field:)
.
Simplify to obtain:
.
In other words, if the speed of this electron stays the same, the radius of the path of this electron would be inversely proportional to the strength of the magnetic field. Doubling the radius of this path would require halving the strength of the magnetic field (to .)
Answer:
D. Newton's first law
Explanation:
Newton's first law of inertia says that an object will remain how it is, unless affected by an outside force. In this case, the plates want to remain stationary(not moving). Therefore, if you pull the table cloth fast enough, the force of friction produced will be small enough so that the Inertia of the plates will overcome the force of friction.
Answer:
R2 = 10.31Ω
Explanation:
For two resistors in parallel you have that the equivalent resistance is:
(1)
R1 = 13 Ω
R2 = ?
The equivalent resistance of the circuit can also be calculated by using the Ohm's law:
(2)
V: emf source voltage = 23 V
I: current = 4 A
You calculate the Req by using the equation (2):
Now, you can calculate the unknown resistor R2 by using the equation (1):
hence, the resistance of the unknown resistor is 10.31Ω
Transverse Waves: Displacement of the medium is perpendicular to the direction of propagation of the wave.
Longitudinal Waves: Displacement of the medium is parallel to the direction of propagation of the wave.