Answer:
Friction
Explanation:
Brief elaboration, Friction is a force that opposes motion. When two objects are in contact, friction is acts in a direction opposite to the motion of the object.
The angle is 34.4°.
The radius of a circle and the central angle determine the length of an arc. We are aware that the arc length is equivalent to the circumference for an angle of 360 degrees (2π). As the proportion between angle and arc length is constant, we can say that:
L / θ = C / 2π
As circumference C = 2πr,
L / θ = 2πr / 2π
L / θ = r
We find out the arc length formula when multiplying this equation by θ:
L = r * θ
The arc length is equal to the radius multiplied by the central angle.
Radius of the circle, r = 2.70m
Length of the arc, L = 1.60 m
L = rθ
θ = L / r
= 1.60 / 2.70
= 0.6 rad
θ = (0.6 rad × 180° ) / π rad
= 34.4°
Therefore, the angle is 34.4°.
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Answer:
A) 0 for r < R B) Q/4πε₀r² for r > R
Explanation:
Here is the complete question
Part A Find the electric field inside a hollow plastic ball of radius R that has charge Q uniformly distributed on its outer surface. Give your answer as a multiple of Q/ε0.
Part B Find the electric field outside this ball. Give your answer as a multiple of Q/ε0. Express your answer in terms of some or all of the variables R, r and the constant π.
Solution
Using Gauss' law ∫E.dA = q/ε₀. Where E is the electric field, dA is the area vector and q is the charge enclosed.
A For r < R The direction of the electric field is directed radially inward and r is outward and the angle between them is 180°. So E.dA = EdAcos180 = -EdA
∫-EdA = q/ε₀
-E∫dA = q/ε₀
-E4πr² = q/ε₀ (∫dA = 4πr² since it is a sphere)
E = -q/4πr²ε₀
But for r < R q = 0. So,
E = -q/4πr²ε₀ = -0/4πr²ε₀ = 0
B For r > R The direction of the electric field is directed radially outward and r is outward and the angle between them is 0°. So E.dA = EdAcos0 = EdA
∫EdA = q/ε₀ where Q is the charge on the hollow plastic ball
E∫dA = q/ε₀
E4πr² = q/ε₀ (∫dA = 4πr² since it is a sphere)
E = q/4πr²ε₀
But for r > R q = Q. So,
E = Q/4πr²ε₀ = Q/4πε₀r²
Answer:
τ = 15N.m
Explanation:
Torque on the rod is given by:
If you were told that gravity contributes as well, and you were given the mass of the rod, you would have to subtract the torque of the weight to this value.
I think the answer is the first condition sum of forces acting on a body is zero ( ∑ F =0 ) and the second condition sum of torque acting on a body is ( ∑ τ = 0 )
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