It is a part of the sugary liquid in the plant that uses photosynthesis to produce.
Answer:
a) v = (-7.73 i ^ - 6.95j ^) 10⁶ m/s and b) ΔK = 3.96 10⁻¹³ J
Explanation:
We can work this process of disintegration as a conservation problem of the moment.
We create a system formed by the initial nucleus and the three final particles, in this case all the forces involved are internal and the amount of movement is conserved. We will write the equations each axis
X axis
p₀ = 0
pf = m1 v1x + m vfx
m₁ = 8.50 10-27 kg
vf₁ = 4.00 106 m / s
p₀ = pf
0 = m₁ v₁ₓ + m₃ vfₓ
vfₓ = -m₁ / m₃ v1ₓ
Y Axis
P₀ = 0
Pf = m₂ v₂ + m₃ vfy
m₂ = 5.10 10⁻²⁷ kg
v₂ = 6.00 10⁶ m / s
p₀ = pf
0 = m₂ v₂ + m₃ vfy
vfy = -m₂ / m3₃v₂
We have the initial particle mass and it decomposes into three parts after disintegration
m = m₁ + m₂ + m₃
m₃ = m-m₁-m₂
m₃ = 1.80 10⁻²⁶ - 5.10 10⁻²⁷ - 8.50 10⁻²⁷ = (1.80 -0.510 -0.850) 10⁻²⁶
m3 = 0.44 10⁻²⁶ kg = 4.4 10⁻²⁷ kg
Let's replace and calculate
vfₓ = -m₁ / m₃ v₁ₓ
vfₓ = - 8.50 10⁻²⁷/4.4 10⁻²⁷ 4.00 10⁶
vfₓ = -7.73 10⁶ m / s
vfy = -m₂ / m₃ v₂
vfy = - 5.10 10⁻²⁷ /4.4 10⁻²⁷ 6.00 10⁶
vfy = -6.95 10⁶ m/s
We set the speed vector
v = (-7.73 i ^ - 6.95j ^) 10⁶ m/s
b) Let's calculate the kinetic energy
Initial
K₀ = 0
Final
Kf = K₁ + K₂ + K₃
Kf = ½ m₁ v₁² + ½ m₂ v₂² + ½ m₃ v₃²
v₃² = (7.73 10⁶)²+ (6.95 10⁶)² = 108.5 10⁻¹²
Kf = ½ 8.50 10⁻²⁷(4 10⁶) 2 + ½ 5.1 10⁻²⁷ (6 10⁶) 2 + ½ 4.4 10⁻²⁷ 108.05 10⁻¹²
Kf = 68 10⁻¹⁵ + 91.8 10⁻¹⁵ + 237.7 10⁻¹⁵
Kf = 396.8 10⁻¹⁵ J
Kf = 3.96 10⁻¹³ J
ΔK = Kf -K₀
ΔK = 3.96 10⁻¹³ J
Answer:
C. 72
Explanation:
Transformer: A transformer is an electromagnetic device that uses the property of mutual inductance to change the voltage of alternating supply.
In a ideal transformer,
Vs/Vp = Ns/Np ............................................. Equation 1
Where Vp = primary voltage, Vs = secondary voltage, Ns = Secondary turn, Np = primary turn.
Making Ns the subject of the equation,
Ns =(Vs/Vp)Np .......................................... Equation 2
Given: Vs = 24 V, Vp = 115 V, Np = 345.
Substitute into equation 2
Ns = (24/115)345
Ns = 72 turns.
Thus the number of turns in the secondary = 72 turns.
The right option is C. 72
Carbon: C, 12.011, 6, 12
Oxygen: O, 8, 8, 8, 16
Boron: B, 10.811, 5, 5, 11
The displacement of the train after 2.23 seconds is 25.4 m.
<h3>Resultant velocity of the train</h3>
The resultant velocity of the train is calculated as follows;
R² = vi² + vf² - 2vivf cos(θ)
where;
- θ is the angle between the velocity = (90 - 51) + 37 = 76⁰
R² = 8.81² + 9.66² - 2(8.81 x 9.66) cos(76)
R² = 129.75
R = √129.75
R = 11.39 m/s
<h3>Displacement of the train</h3>
The displacement of the train is the change in position of the train after a given period of time.
The displacement is calculated as follows;
Δx = vt
Δx = 11.39 m/s x 2.23 s
Δx = 25.4 m
Thus, the displacement of the train after 2.23 seconds is 25.4 m.
Learn more about displacement here: brainly.com/question/2109763
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