Answer:
<h2><u>✍</u><u> </u><u>What is quantum physics?</u></h2>
- ➳ It's the physics that explains how everything works; the best description we have of the nature of the particles that make up matter and the forces with which they interact.
- Quantum physics underlies how atoms work, and so why chemistry and biology work as they do.
Explanation:
The net force along the horizontal direction is

where f is the frictional force. We can find the frictional force by looking at the vertical forces acting on the couch:

From the definition of frictional force,


Therefore, the net force on the couch is

Answer:
- R = ( 4.831 m , 1.469 m )
- Direction of R relative to the x axis= 16°54'33'
Explanation:
Knowing the magnitude and directions relative to the x axis, we can find the Cartesian representation of the vectors using the formula

where
its the magnitude and θ.
So, for our vectors, we will have:


and


Now, we can take the sum of the vectors




This is R in Cartesian representation, now, to find the magnitude we can use the Pythagorean theorem





To find the direction, we can use




As we are in the first quadrant, this is relative to the x axis.
Answer:
a) 1.082 × 10⁻¹⁹C ( e = 1.6 × 10⁻¹⁹C)
b) 3.466 × 10¹¹ N/C
Explanation:
a)
p(r) = -A exp ( - 2r/a₀)
Q = ₀∫^∞ ₀∫^π ₀∫^2xπ p(r)dV = -A ₀∫^∞ ₀∫^π ₀∫^2π exp ( - 2r/a₀)r² sinθdrdθd∅
Q = -4πA ₀∫^∞ exp ( - 2r/a₀)r²dr = -e
now using integration by parts;
A = e / πa₀³
p(r) = - (e / πa₀³) exp (-2r/a₀)
Now Net charge inside a sphere of radius a₀ i.e Qnet is;
= e - (e / πa₀³) ₀∫^a₀ ₀∫^π ₀∫^2π r² exp (-2r/a₀)dr
= e - e + 5e exp (-2) = 1.082 × 10⁻¹⁹C ( e = 1.6 × 10⁻¹⁹C)
b)
Using Gauss's law,
E × 4πa₀ ² = Qnet / ∈₀
E = 4πa₀ ² × Qnet × 1/a₀²
E = 3.466 × 10¹¹ N/C
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2 x 3 = 6
Thus there are 6 atoms of oxygen in this molecule.
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