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
D the distance for trial 3 will be greater than trial 4
The average speed of Frank's car is 2 m/s and the average speed of Noah's car is 1.8 m/s.
<u>Explanation:</u>
Average speed is the measure of total distance covered at different time period. Since, the formula used for calculating the average speed is the ratio of total distance covered by each car to the time taken to cover that distance.
As there is only one set of data i.e., distance and time, the average speed will be equal to the speed of the car.
So in this case, the total distance covered by franks car is 300 cm = 3 m in 1.5 s. Then, the average speed will be
Similarly, the average speed of Noahs car which rolled a distance of 360 cm = 3.6 m in time 2 s, will be
Thus, the average speed of Frank's car is 2 m/s and the average speed of Noah's car is 1.8 m/s.
I think it's D cuz D is the heliocentric theory
Explanation:
Electrical energy is energy derived from electric potential energy or kinetic energy. When used loosely, electrical energy refers to energy that has been converted from electric potential energy.
HOPE THIS HELPS YOU
