Find the radius and period of the orbit.
Answer:
r = 2,026 10⁹ m and T = 2.027 10⁴ s
Explanation:
For this exercise let's use Newton's second law
F = m a
where the force is electric
F =
Acceleration is centripetal
a = v² / r
we substitute
r = (1)
let's look for the charge in the insulating sphere
ρ = q₂ / V
q₂ = ρ V
the volume of the sphere is
v = 4/3 π r³
we substitute
q₂ = ρ π r³
q₂ = 3 10⁻⁹ π 4³
q₂ = 8.04 10⁻⁷ C
let's calculate the radius with equation 1
r = 9 10⁹ 1.6 10⁻¹⁹ 8.04 10⁻⁷ /(9.1 10⁻³¹ 628 10³)
r = 2,026 10⁹ m
this is the radius of the electron orbit around the charged sphere.
Since the orbit is circulating, the speed (speed modulus) is constant, we can use the uniform motion ratio
v = x / t
the distance traveled in a circle is
x = 2π r
In this case, time is the period
v = 2π r /T
T = 2π r /v
let's calculate
T = 2π 2,026 10⁹/628 103
T = 2.027 10⁴ s
Answer:
Speed of water at the top of fall = 5.40 m/s
Explanation:
We have equation of motion
Here final velocity, v = 26 m/s
a = acceleration due to gravity
displacement, s = 33 m
Substituting
Speed of water at the top of fall = 5.40 m/s
energy?
A. X-rays
B. ultraviolet waves
C. radio waves
Radio waves have low electromagnetic energy compared to X-rays and ultraviolet waves.
Electromagnetic energy refers to the energy associated with electromagnetic waves, which are a form of energy that can travel through empty space. The energy of an electromagnetic wave is directly proportional to its frequency. Therefore, the frequency determines the energy level of the wave.
In the given options, radio waves would have the lowest electromagnetic energy. Radio waves have the longest wavelength and lowest frequency among the three options. X-rays, on the other hand, have a higher frequency and shorter wavelength, making them more energetic. Ultraviolet waves have an even higher frequency and shorter wavelength, making them the most energetic among the three options.
Explanation:
It is known that the relation between electric field and potential is as follows.
E =
And, formula to calculate the capacitance is as follows.
C =
=
= F
Hence, energy stored in a capacitor is as follows.
W =
V =
E =
=
=
Thus, we can conclude that electric field strength E inside the capacitor is .
Answer:
elative magnitude of the two forces is the same and they are applied in a constant direction.
Explanation:
Newton's second law states that the sum of the forces is equal to the mass times the acceleration
∑ F = m a
in this case there are two forces on the x axis
F_applied - fr = 0
since they indicate that the velocity is constant, consequently
F_applied = fr
the relative magnitude of the two forces is the same and they are applied in a constant direction.
Lets write the data down. That will help us solve the problem later:
R = 36 m
θ = 18º
m = 1492 kg
μ = 0.67
g = 9.8 m/s²
Lets draw all the forces that act on the car:
In order to the car won't skidding to the outside of the curve we must have the centripetal force equals the friction force: