Answer:
a) h'= 5/7 h
, b) h ’= h
Explanation:
Let's use energy conservation for this exercise
Starting point. Upper left side
Em₀ = mg h
Final point. Lower left side
Emf = K = ½ m v² + ½ I w²
Em₀ = emf
mgh = ½ m v² + ½ I w²
Angular and linear velocity are related
v = r w
w = v / r
The moment of inertia of the marble that we take as a solid sphere is
I = 2/5 m r²
We substitute
m g h = ½ m v² + ½ 2/5 m r² (v / r)²
g h = ½ v2 (1 + 2/5)
v = √(g h 10/7)
This is the speed at the bottom of the bowl
Now let's apply energy conservation to the right side
a) right side if rubbing
Em₀ = K
Emf = U = mg h’
½ m v² = mg h’
h’= ½ (g h 10/7) / g
h'= 5/7 h
b) right side with rubbing
Em₀ = K
Emf = K + U = -½ I w² + m g h
Emf = -½ 2/5 m r² v² / r² + m gh
Em₀ = emf
½ v² = -1/5 v² + g h’
h’= (1/2 +1/5) (gh 10/7) / g
h ’= h
c) When there is friction, an energy of rotation is accumulated that must be dissipated, by local it goes higher
Answer:
The luminosity remains the same, but the apparent brightness is decreased by a factor of four.
Explanation:
The apparent brightness, F = L/4πr² where L = luminosity and r = distance between us and the star.
Since L is independent of the distance between us and the star, it is constant, then
F ∝ 1/r²
So, F₁/F₂ = r₂²/r₁² where F₁ = apparent brightness at r₁ and F₂ = apparent brightness at r₂
If the distance is doubled, that is r₂ = 2r₁, then
F₁/F₂ = r₂²/r₁²
F₁/F₂ = (2r₁)²/r₁²
F₁/F₂ = 4r₁²/r₁²
F₁/F₂ = 4
F₂ = F₁/4
So, since the luminosity is constant, <u>the luminosity remains the same, but the apparent brightness is decreased by a factor of four.</u>
The answer is right. The point and the 200 N sign maybe on the left side but the direction can be going right. I just took the quiz today, I wouldn't give the wrong answer cause i'm not a liar. -_-
0.0003321 Newtons
Explanation
We are given the charge, its velocity, and the magnetic field strength and direction. We can thus use the equation to find the force

so
Step 1
Let

now, replace

so, the answer is
0.0003321 Newtons
I hope this helps you
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