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:
1890J
Explanation:
375+45 = 420kg (total mass)
kinetic energy = 1/2 × mass × velocity²
1/2 × 420 × 3² = 1890J
<span>As frequency increases, wavelength decreases. Frequency and wavelength are inversely proportional. This basically means that when the wavelength is increased, the frequency decreases and vice versa</span>
An exfoliation dome is a geological structure wherein it is primarily when the overburden of a surface gets removed by erosion, thus leading to rock relaxation. In addition, the term would be best applied to the national landmark of Yosemite National Park wherein the place has one of the best waterfalls in California.
