Answer:
Explanation:
Since the wire is infinitely long, we will use Gauss' Law:
We will draw an imaginary cylindrical surface with height h around the wire. The electric flux through the imaginary surface will be equal to the net charge inside the surface.
In that case, the net charge inside the imaginary surface will be the portion of wire with height h. Then the charge of that portion will be equal to
The left-hand side of the Gauss' Law is the flux through the imaginary surface. Since we choose our surface as a cylinder, of which we know the area, we do not have to take the surface integral.
where R is the radius of the imaginary cylinder.
Finally, Gauss' Law gives
The vector expression is
As you can see, the electric field is independent from the height h, since that is merely an imaginary cylinder to apply Gauss' Law. In the end, what matters is the charge density of the wire and the distance from the wire.
Answer:
<h2>6.67 m/s²</h2>
Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
f is the force
m is the mass
From the question we have
We have the final answer as
<h3>6.67 m/s²</h3>
Hope this helps you
Answer:
Explanation:
Given the equation modelled by the height of the train given as:
s(t) = 18t²-2t³ for for 0 ≤ t ≤ 9
a) Velocity is the rate of change of displacement.
Velocity = dS(t)/dt
V = dS(t)/dt = 36t - 6t² miles
Velocity at t = 3hrs is determiner by substituting t = 3 into the velocity function.
V = 36(3) -6(3)²
V= 108 - 72
Velocity = 36mi/hr
b) for Velocity at time = 7hrs
V(7) = 36(7) - 6(7)²
V(7) = 252 - 294
V(7) = -42mi/hr
The velocity at t = 7hrs is -42mi/hr
c) Acceleration is the rate of change of velocity.
a(t) = dV(t)/dt
Given v(t) = 36t - 6t²
a(t) = 36 - 12t
Acceleration at t=1 is given as:
a(1) = 36 -12(1)
a(1) = 24mi/hr²
Answer:
<u>At 268.82°C</u> volume occupied by nitrogen is 10 liters at pressure of 900 torr.
Explanation:
Given:
Volume of a sample of nitrogen = 5.50 liters
Pressure = 900 torr
Temperature = 25°C
To find the temperature at which the nitrogen will occupy 10 liters volume at same pressure.
Solution:
Since the pressure is kept constant, so we can apply the temperature-volume law also called the Charles Law.
Charles Law states that the volume of a gas held at constant pressure is directly proportional to the temperature of the gas in Kelvin.
Thus, we have :
∝ 
where 
is a constant.
For two samples of gases, the law can be given as:
From the data given:
We need to find 
.
Plugging in values in the formula.
Multiplying both sides by .
Multiplying both sides by 
Thus, at 268.82°C volume occupied by nitrogen is 10 liters at pressure of 900 torr.
The best C) Wave 1 is generated by electric circuits and wave 2 is emitted by radioactive material.
The higher frequency waves will be radioactive material, while the electromagnetic radiation generated by circuits will have a much lower frequency.
