Answer:
23.1 N/C
Explanation:
OP = 3 m , OQ = 4 m

q = - 8 nC, Q = 75 nC
Electric field at P due to the charge Q is

Electric field at P due to the charge q is

According to the diagram, tanθ = 3/4
Resolve the components of E1 along x axis and along y axis.
So, Electric field along X axis, Ex = - E1 Cos θ
Ex = - 27 x 4 / 5 = - 21.6 N/C
Electric field along y axis, Ey = E1 Sinθ - E2
Ey = 27 x 3 /5 - 8 = 8.2 N/C
The resultant electric field at P is given by

Answer:
Both are true under specific circumstances. And are related to Boyle's law. volume and pressure in a gas are inversely proportional.
Explanation:
There is a tendency to entropy in our reality, that is, in particular true and visible with gases, they tend to occupy the whole space where they are confined, when we heat a volume of gas, then the movement of the particles and in consequence the pressure of the gas increases and to compensate this the volume tends to be increased too, according to Boyle's law. And the opposite happens when the volume is increased, then the pressure is relieved and since the particles are further one from each other, then the temperature is lower, and therefore it cools down.
The answer is there is no one accepted scientific opinion about the current warming trend in the global climate
Answer:
Radius r = 20.34 cm
The radius that can produces such a disk is 20.34 cm
Explanation:
Area of a circle;
A = πr^2
A = area
r = radius
Making r the subject of formula;
r = √(A/π) ........1
Given;
A = 1300 cm^2
Substituting into the equation 1;
r = √(1300/π)
r = 20.34214472564 cm
r = 20.34 cm
The radius that can produces such a disk is 20.34 cm
Answer:
a) 39.37 m
b) 26.25 m
Explanation:
Given
speed of the roller coaster, v = 100 km/h = 100 * (1000/3600) m/s = 27.78 m/s
Using the law of conservation of energy.
Potential Energy = Kinetic Energy
mgh = 1/2mv²
gh = 1/2v²
h = v²/2g
h = 27.78² / 2 * 9.8
h = 771.7284 / 19.6
h = 39.37 m
Also,
kmg - mg = mv²/p
kg - g = v²/p
p = v²/g(k - 1)
p = 27.78² / 9.8(4 - 1)
p = 771.7284 / 29.4
p = 26.25 m
Therefore, the height of the roller coaster is 39.37 m and the radius of curvature required is 26.25 m