To solve this problem we will apply the concepts related to the balance of forces. We will decompose the forces in the vertical and horizontal sense, and at the same time, we will perform summation of torques to eliminate some variables and obtain a system of equations that allow us to obtain the angle.
The forces in the vertical direction would be,
The forces in the horizontal direction would be,
The sum of Torques at equilibrium,
The maximum friction force would be equivalent to the coefficient of friction by the person, but at the same time to the expression previously found, therefore
Replacing,
Therefore the minimum angle that the person can reach is 46.9°
Answer:
The new Coulomb force is q₁q₂/9πε₀r²
Explanation
The coulomb force between the two charges q₁ and q₂ at a distance r in air is given by F = q₁q₂/4πε₀r².
Now, let us assume the material of dielectric constant κ = 9 is placed between them on the side of the q₁ charge. The value of its effective charge is now q₃ = q₁/κ at a distance of d = r/2 from the q₂ charge.
Since we have air between q₂ and q₃, the coulomb force between them is
F' = q₂q₃/4πε₀d²
= q₂(q₁/κ)/4πε₀(r/2)²
= 4q₂q₁/κ4πε₀r²
= 4/κ(q₂q₁/4πε₀r²)
= 4/9 × (q₂q₁/4πε₀r²)
= q₁q₂/9πε₀r²
So, the new Coulomb force is q₁q₂/9πε₀r²
The arrows always start at the magnet's north pole and point towards its south pole. When two like-poles point together, the arrows from the two magnets point in OPPOSITE directions and the field lines cannot join up. So the magnets will push apart
A catalytic converter is an exhaust emission control device that reduces toxic gases and pollutants in exhaust gas from an internal combustion engine into less-toxic pollutants by catalyzing a redox reaction (an oxidation and a reduction reaction).
The absolute uncertainty in the volume of the cube is 0.06 m³.
We need to know about the uncertainty of measurement to solve this problem. The uncertainty of cube volume can be determined by
V = s³
|ΔV| = dV/ds x Δs
where V is volume, s is length, ΔV is uncertainty in the volume and Δs is the uncertainty of length.
From the question above, we know that
s = 1.00 m
Δs = 2% of s = 2/100 x 1 = 0.02 m
By using the uncertainty of volume formula, we get
|ΔV| = dV/ds x Δs
|ΔV| = d(s³)/ds x Δs
|ΔV| = 3s² x Δs
|ΔV| = 3. 1² x 0.02
|ΔV| = 0.06 m³
Hence, the uncertainty in the volume is 0.06 m³.
Find more on uncertainty at: brainly.com/question/1577893
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