Answer:
w = w₀ M / (M + 2m)
Explanation:
This exercise can be solved using the concepts of conservation of angular momentum
L = I w
Let's write in angular momentum in two points
Initial. Before impact
L₀ = I w₀
Final. After the rock has stuck
= I w + (m r²) w
The system is formed by the disk and the rock, so that the forces and moments during the crash are internal and the angular momentum is preserved
L₀ =
I w₀ = (I + m r²) w
w = w₀ I / (I + m r²)
The roundabout is a disk so its moment of inertia is
I = ½ M r²
w = w₀ ½ Mr² / (½ M r² + mr²)
w = w₀ ½ M / (½ M + m)
w = w₀ ½ M2 / (M + 2m)
w = w₀ M / (M + 2m)
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Answer:
A box of donuts would cost: b = 3.84 + 0.18f
First, we have to find the total cost of the donuts.
12 x 0.32 = 3.84
Next, we need to determine the cost of the box. However, we don't know the surface area, just the cost per foot. We can multiply the number of square feet of the box by $0.18 to find the cost.
So our equation could be: b = 3.84 + 0.18f (where f is the surface area of the box in square feet)Explanation:
Answer: water
The light reactions of noncyclic photophosphorylation takes place in the chloroplast.
The light energy is converted to chemical energy to produce both ATP and NADPH,
which act as energy-transfer molecules in the light-independent reactions of
the Calvin cycle. The addition of phosphate due to synthesizing of ATP by cells
results to photophosphorylation.
Moreover, <span>the electrons from water replenish chlorophyll molecules that
have given up electrons by photolysis. The two electrons from the water
molecule are kept in photosystem II, while the 2H+ and 1/2O2 are
left out for further use.</span>
.
The magnitude of the average emf induced in the loop is given by (we ignore the signs since we are interested only in the magnitude)
where
is the variation of magnetic flux through the area enclosed by the loop, and
is the time interval.
The magnetic flux is given by
where B is the intensity of the magnetic field, A is the area enclosed by the loop and
is the angle between the perpendicular to the area and the magnetic field. In our problem, this angle is zero because the loop is perpendicular to the magnetic field, so the cosine is 1. The area of the loop is fixed, and it is
where
is the radius of the loop. The only element which is variable in the formula is B, which changes from 0.069 T to -0.044 T (opposite direction). So we can rewrite the flux variation as
where
By using
, we can find the magnitude of the emf induced: