Answer:
E_total = 1.30 10¹⁰ C / m²
Explanation:
The intensity of the electric field is
E = k q / r²
on a positive charge proof
The total electric field at the midpoint is
as q₁= 6 10⁻⁶ C the field is outgoing to the right
for charge q₂ = -3 10⁻⁶ C, the field is directed to the right, therefore
E_total = E₁ + E₂
E_total = k q₁ / r₁² + k q₂ / r₂²
r₁ = r₂ = r = 4 10⁻² m
E_total = k/r² (q₁ + q₂)
we calculate
E_total = 9 10⁹ / (4 10⁻²)² (6.0 10⁻⁶ +3.0 10⁻⁶)
E_total = 1.30 10¹⁰ C / m²
Answer:
If the canoe heads upstream the speed is zero. And directly across the river is 8.48 [km/h] towards southeast
Explanation:
When the canoe moves upstream, it is moving in the opposite direction of the normal river current. Since the velocities are vector (magnitude and direction) we can sum each vector:
Vr = velocity of the river = 6[km/h}
Vc = velocity of the canoe = -6 [km/h]
We take the direction of the river as positive, therefore other velocity in the opposite direction will be negative.
Vt = Vr + Vc = 6 - 6 = 0 [km/h]
For the second question, we need to make a sketch of the canoe and we are watching this movement at a high elevation. So let's say that the canoe is located in point 0 where it is located one of the river's borders.
So we are having one movement to the right (x-direction). And the movement of the river to the south ( - y-direction).
Since the velocities are vector we can sum each vector, so using the Pythagoras theorem we have:
![Vt = \sqrt{(6)^{2} +(-6)^{2} } \\Vt=8.48[km/h]](https://tex.z-dn.net/?f=Vt%20%3D%20%5Csqrt%7B%286%29%5E%7B2%7D%20%2B%28-6%29%5E%7B2%7D%20%7D%20%5C%5CVt%3D8.48%5Bkm%2Fh%5D)
Answer:
Oh I am sorry this is my first time on brainly i dont how to exit and sorry but dont know the answer
Explanation:
Answer:
The velocity is
Explanation:
From the question we are told that
The mass of the ball is 
The radius is 
The force is 
The speed of the ball is 
Generally the kinetic energy at the top of the circle is mathematically represented as

=>
=>
Generally the work done by the force applied on the ball from the top to the bottom is mathematically represented as

Here d is the length of a semi - circular arc which is mathematically represented as

So


Generally the kinetic energy at the bottom is mathematically represented as

=> 
=> 
From the law of energy conservation

=> 
=>
Answer:
Q = 59565 [J]
Explanation:
In order to calculate the amount of thermal energy needed we must use the following equation.

where:
m = mass = 150 [g]
Cp = 4.18 [J/g*°C]
Tfinal = 5 [°C]
Tinitial = 100 [°C]
Now replacing:
![Q=150*4.18*(100-5)\\Q=59565[J]](https://tex.z-dn.net/?f=Q%3D150%2A4.18%2A%28100-5%29%5C%5CQ%3D59565%5BJ%5D)