According to Gauss' law, the electric field outside a spherical surface uniformly charged is equal to the electric field if the whole charge were concentrated at the center of the sphere.
Therefore, when you are outside two spheres, the electric field will be the overlapping of the two electric fields:
E(r > r₂ > r₁) = k · q₁/r² + k · q₂/r² = k · (q₁ + q₂) / r²
where:
k = 9×10⁹ N·m²/C²
We have to transform our data into the correct units of measurement:
q₁ = 8.0 pC = 8.0×10⁻¹² C
q₂ = 3.0 pC = 3.0×10<span>⁻¹² C
</span><span>r = 5.0 cm = 0.05 m
Now, we can apply the formula:
</span><span>E(r) = k · (q₁ + q₂) / r²
= </span>9×10⁹ · (8.0×10⁻¹² + 3.0×10⁻¹²) / (0.05)²
= 39.6 N/C
Hence, <span>the magnitude of the electric field 5.0 cm from the center of the two surfaces is E = 39.6 N/C</span>
Explanation:
do we can say that the first step is finding the acceleration of the object. We do so by saying F = ma
so a = F/m
a = 500 m/s^2
we now have the time, acceleration and initial velocity.
so we can find the final velocity by using one of newtons equations which is: vf = vi + at
so:
vf = 0 + 500 × 12
vf = 6000
note that our initial velocity was zero since the object was initially at rest.
if you still have any doubt dont hesitate to ask for further help.
Answer:
the length of the Nichrome wire is <em>59.88 m</em>
<em></em>
Explanation:
The resistance of a wire is determined by:
P = V² / R or R = V² / P
where
- V is the voltage
- R is the resistance
- P is the power
We also know that
R = PL / A
where
- A is the area and it is equal to πr²
- P = 3.20 × 10² W
Therefore, the length of the Nichrome wire is
L = RA / ρ
L = (V²/P)(πr²) / ρ
L = V²πr² / ρ P
L = (110 V)²(π)(7.1 × 10⁻⁴ m)² / (3.2 × 10² W)(100 × 10⁻⁸ Ω·m)
<em>L = 59.88 m</em>
Answer:
All soft drinks contain water. When soft drink bottles are chilled in sub-zero temperatures, the water on account of its anomalous expansion expands. Thus, to provide space for expanding water, soft drink bottles are not completely filled as otherwise they will burst.
Explanation:
Answer:
The angle is 
Explanation:
From the question we are told that
The mass is 
The radius is 
The speed is 
According to the law of energy conservation
The potential energy of the mass at the top is equal to the kinetic energy at the bottom i.e
=> 
Here h is the vertical distance traveled by the mass which is also mathematically represented as
So
![\theta = sin ^{-1} [ \frac{1}{2* g* r } * v^2]](https://tex.z-dn.net/?f=%5Ctheta%20%20%20%3D%20sin%20%5E%7B-1%7D%20%5B%20%5Cfrac%7B1%7D%7B2%2A%20g%2A%20r%20%7D%20%2A%20%20v%5E2%5D)
substituting values
![\theta = sin ^{-1} [ \frac{1}{2* 9.8* 1.1 } * (3.57)^2]](https://tex.z-dn.net/?f=%5Ctheta%20%20%20%3D%20sin%20%5E%7B-1%7D%20%5B%20%5Cfrac%7B1%7D%7B2%2A%209.8%2A%201.1%20%7D%20%2A%20%20%283.57%29%5E2%5D)
