Answer:
d = 4.5079mm
Explanation:
from the question we are given that
= 0.082N/m
I₁= 30.6 A , I₂ = 60.4 A , and μ₀ = 4 π × 10⁻⁷ T · m / A
In order for the system to be in equilibrium, the repulsive magnetic force
per unit length on the top wire must equal the weight per unit length of the wire. Then we have
F/L = μ₀I₁I₂ / 2πd , making d as the subject of formular
we have that d = Lμ₀I₁I₂ / 2πF
= 4 π × 10⁻⁷ × 30.6 ×60.4 / 2π × 0.082
=45079.02× 10⁻⁷
in mm .. 45079.02× 10⁻⁷ × 10³
45079.02 ×10⁻⁴
d = 4.5079mm
Answer: In order of increasing frequency and decreasing wavelength these are: radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays and gamma rays.
Answer:
The acceleration is 10 m/s²
Explanation:
The question seeks to show the relationship between force, mass and acceleration. Hence, the formula to be used here is that of force which is shown below
F = ma
where F is the force (800 N)
m is the mass (80 kg)
a is the acceleration (unknown)
From the formula above (Force = mass multiplied by acceleration)
800 N = 80 kg × a
a = 800 ÷ 80
a = 10 m/s²
7. First write down all the known variables while separating the values for each direction:
x-direction:
vix = 20m/s
vfx = 20m/s
x = 39.2m
y-direction:
viy = 0m/s
ay = -9.8m/s^2
y = ?
Based on the knowns, the first step is to calculate the time of flight from the x-direction as it will be the same as value for the y-direction. Find the correct kinematic equation to do so:
x = (1/2)(vix+vfx)t
(39.2) = (1/2)(20+20)t
1.96s = t
Now that we have the time of flight, we can use the kinematic equation that will relate the known variables in the y-direction:
y = viy*t + (1/2)ay*t^2
y = (0)(1.96) + (1/2)(-9.8)(1.96)^2
y = -18.82m (Value is negative because gravity constant was negative. It is the height reference that from the top of the building down, which is why it is negative. The sign can be ignored for this question.)
8. First write down all the known variables while separating the values for each direction:
x-direction:
x = 12m
vfx = 0m/s
vix = ?
y-direction:
y1 = 1.2m
y2 = 0.6m
viy = 0m/s;
ay = -9.8m/s^2
First find time in the y-direction as it would be the same value for the x-direction.
(y2 - y1) = viy*t + (1/2)ay*t^2
(-0.6) = (0)t + (1/2)(-9.8)t^2
t = 0.35s
Now that we have the time of flight, we can use the kinematic equation that will relate the known variables in the x-direction:
x = (1/2)(vix+vfx)t
(12) = (1/2)(vix+(0))(0.35)
68.6m/s = vix
Answer:
Power, P is equal to 10 watts.
Explanation:
Given the following parameters;
Voltage drop, V = 50volts.
Resistance, R = 250ohms.
Power, P =?
The power developed in an electrical circuit is given by;
......equation 1
But we also know that;
Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.
Mathematically, V = IR
Making I the subject of formula;
I = V/R
Substituting into equation 1;
P = (50²)/250
P = 2500/250
P = 10 watts.
