Answer:
a) 0.3 m
b) r = 0.45 m
Explanation:
given,
q₁ = 0.44 n C   and q₂ = 11.0 n C
 assume the distance be r from q₁  where the electric field is zero.
distance of point from q₂  be equal to 1.8 -r
now,
         E₁ = E₂



1.8 = 6 r
r = 0.3 m
<h3>b) zero when one charge is negative.</h3>
let us assume  q₁  be negative so, distance from  q₁ be r
from charge q₂ the distance of the point be 1.8 +r
now,
    E₁ = E₂



1.8 =4 r
r = 0.45 m
 
        
             
        
        
        
Here is the answer to the given question above. Based on the Raisin Cake Analogy, the two properties of distant galaxies that astronomers have to measure to show<span> that we live in an expanding universe are DISTANCE and SPEED. Hope this answers your question. Have a great day!</span>
        
             
        
        
        
Answer:
(a) The total energy of the object at any point in its motion is 0.0416 J
(b) The amplitude of the motion is 0.0167 m
(c) The maximum speed attained by the object during its motion is 0.577 m/s
Explanation:
Given;
mass of the toy, m = 0.25 kg
force constant of the spring, k = 300 N/m
displacement of the toy, x = 0.012 m
speed of the toy, v = 0.4 m/s
(a) The total energy of the object at any point in its motion
E = ¹/₂mv² + ¹/₂kx²
E = ¹/₂ (0.25)(0.4)² + ¹/₂ (300)(0.012)²
E = 0.0416 J
(b) the amplitude of the motion
E = ¹/₂KA²

(c) the maximum speed attained by the object during its motion

 
        
             
        
        
        
Answer:
ac = 2.86 m / s²
Explanation:
Image can detail the system to determine the force in the FA to understand the system into the applicated force 
m = 100 kg ,  L = 3 m 
∑ F = 0 ⇒ Ay - 100 kg + P * cos (45) = 0 
Ay = 768.86 N
∑ Mₐ = α * I ₐ 
I ₐ = m * L² / 3  ⇒  I ₐ = 100 kg * 4² m / 3 
Replacing 
P * sin (45) * 3 = α * 100 kg * 4² m / 3  
α = 1.193 rad / s² 
ac = α *2    ⇒  ac = 1.193 rad / s²  * 2 
ac = 2.86 m / s²
 
        
             
        
        
        
Distance is speed x time.  Half of the trip is 5.8/2 = 2.9hrs.
640 x 2.9 = 1856mi
580 x 2.9 = 1682mi
1856mi+1682mi=3538mi.
You could also calculate her average speed.  This is easy since it was divided in two equal time slices.  Average Speed = (640+580)/2 = 610mi/hr
Now 610mi/hr x 5.8hrs = 3538mi