<h2>Nitrogen is Conserved</h2>
Explanation:
- Nitrogen is a basic component of all life forms.
- It is found in all proteins and DNA molecules.
- Nitrogen is available in the earth's atmosphere by 78 % as N2 gas.
- In nitrogen fixation, bacteria convert nitrogen gas into ammonia or usable form of nitrogen used by plants., When animals eat the plants, they acquire usable nitrogen compounds.
- During the nitrogen cycle, nitrogen atoms used in the cycle are neither created or destroyed, or changed into other atoms.
- Thus it can be said that the law of conservation of matter is related to the nitrogen cycle, which states that matter is never created or destroyed in any chemical or physical process.
The velocity of the wood board which is resting on very smooth ice in the middle of a frozen lake relative to this ice is 0.905 m/s
- What is conservation of momentum:
It states the amount of momentum remains constant
Momentum of a moving body is the product of mass times velocity.
Formula for momentum:
When the two objects collides, then the initial collision of the two body is equal to the final collision of two bodies by the law of conservation of momentum.
here,
mass of wood, m=58.5 kg
mass of boy, M=41.7 kg
velocity of the boy V=1.27 m/s
Thus,
The conservation of momentum,
m*v = M*V
substituting the value,
(58.5*v) = 1.27* 41.7
v = 52.95 / 58.5
v = 0.905 m/s
Thus, the velocity of the wood board which is resting on very smooth ice in the middle of a frozen lake relative to this ice is 0.905 m/s.
Learn more about the conservation of momentum here;
<u>brainly.com/question/3920210</u>
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Answer:
(a) 0.325 V
(b) 0.0325 A
(c) 0.011 A
Explanation:
N = 150
diameter = 5.25 cm
radius, r = diameter / 2 = 2.625 cm = 0.02625 m
R = 10 ohm
dB / dt = 1 T/s
(a) Let e be the magnitude of induced emf
e = rate of change of magnetic flux
e = dФ / dt
e = N x A x dB / dt
e = 150 x 3.14 x 0.02625 x 0.02625 x 1 = 0.325 V
(b) induced current , i = induced emf / R = 0.325 / 10 = 0.0325 A
(c) When 10 ohm is connected in series with 20 ohm, then equivalent resistance is 10 + 20 = 30 ohm
induced current, i = 0.325 / 30 = 0.011 A
Answer:
T = 50 + 80e^(-0.2t)
Explanation:
Newton's law of cooling says the rate of change of temperature with respect to time is proportional to the temperature difference:
dT/dt = k (T − Tₐ)
Separating the variables and integrating:
dT / (T − Tₐ) = k dt
ln (T − Tₐ) = kt + C
T − Tₐ = Ce^(kt)
T = Tₐ + Ce^(kt)
Given that Tₐ = 50 and k = -0.2:
T = 50 + Ce^(-0.2t)
At t = 0, T = 130.
130 = 50 + Ce^(0)
130 = 50 + C
C = 80
Therefore:
T = 50 + 80e^(-0.2t)