To solve this problem it is necessary to apply an energy balance equation in each of the states to assess what their respective relationship is.
By definition the energy balance is simply given by the change between the two states:

Our states are given by



In this way the energy balance for the states would be given by,



Therefore the states of energy would be
Lowest : 0.9eV
Middle :7.5eV
Highest: 8.4eV
The correct matches are as follows:
<span>1. first nuclear reactor
</span>Fermi - an italian physicist who made the first nuclear reactor<span>
2. </span>1/0 η<span>
</span>atomic mass <span>
3. decaying nuclei
</span>fission<span> - nuclear reaction from a heavy elements to lighter elements
4. number of neutrons and protons
</span>neutron <span>
5. builds heavier elements
</span>fusion - nuclear reaction from two or more elements to a heavier element<span>
6. discovered radioactivity
</span>Curie<span>
7. unit of radiation
</span> Becquerel
The initial velocity of the hoop is determined as 8.854 m/s.
<h3>Conservation of energy</h3>
The initial velocity of the hoop can be determined from the principle of conservation of energy.
Final potential energy = Initial kinetic energy
P.E = K.E
mgh = ¹/₂mv²
gh = ¹/₂v²
2gh = v²
√2gh = v
√(2 x 9.8 x 4) = v
8.854 m/s = v
Thus, the initial velocity of the hoop is determined as 8.854 m/s.
Learn more about initial velocity here: brainly.com/question/19365526
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Answer:
3 m/s
Explanation:
The momentum of an obejct is given by

where
m is the mass of the object
v is the velocity of the object
For the ball in this problem, we know:
is the momentum
is the mass
Therefore, we can re-arrange the equation to find v, the velocity of the ball:

First what is an equivalent angle for 310 degrees rotated counter clockwise? -50 degrees. so we're in the fourth quadrant. meaning X must be positive and Y must be negative.
use your sine and cosine functions to get the answers now. we know sine relates to Y so use 37sine(-50) equals about -28.3
cosine relates to X so use 37cos(-50) equals about 23.8