Answer:
E = 4.72 * 10⁻⁶ Nm²
Explanation:
Parameters given:
Outer radius, R = 3.70cm = 0.037m
Inner radius, r = 3.15cm = 0.0315m
Permittivity of free space, ε₀ = 8.85 * 10⁻¹² C/Nm²
Charge density: 1.22 * 10⁻³ C/m³
The question requires that we solve using Gauss law which states that the net electric field through a closed surface is proportional to the enclosed electric charge.
Hence,
E = Q/Aε₀
Charge Q is given as
Q = ρπ(R² ⁻ r²)L
A = 2π(R - r)L
E = [ρπ(R² ⁻ r²)L]/[2π(R - r)ε₀L]
Using difference of two squares,
(R² ⁻ r²) = (R + r)(R - r)
E =[ρ(R + r)]/(2ε₀)
E = [1.22 * 10⁻³ *(0.0370 + 0.0315)]/(2 * 8.85 * 10⁻¹²)
E = 4.72 * 10⁻⁶ Nm²
Answer:
the expression is ΔT = v²/(4*c)
Explanation:
the kinetic energy K of the bullet is given by
K=1/2*m*v²
where m= mass , v= velocity
the heat Q absorbed by the bullet is given by
Q = m * c * ( T final - T initial ) , where c= specific heat of lead, T initial = initial temperature, T final = final temperature
then
thermal energy = kinetic energy converted into thermal energy
Q = K - 1/2* K = 1/2*K
replacing values
m * c * ( T final - T initial ) = 1/2* 1/2*m*v² = 1/4*m*v²
the increase in temperature ΔT = ( T final - T initial ) , then
ΔT = ( T final - T initial ) = 1/4*m*v² /(m * c ) = v²/(4*c)
ΔT = v²/(4*c)
Possible terminal voltages are 6 - 1.5 =4.5 V or 6+1.5 = 7.5 V.
Voltage is the pressure from an electrical circuit's power supply that pushes charged electrons (present-day) thru an undertaking loop, enabling them to do work that includes illuminating a light. In quick, voltage = stress, and it's far measured in volts (V).
There are styles of voltage, DC voltage, and AC voltage. The DC voltage (direct modern-day voltage) usually has the same polarity (positive or poor), which includes a battery. The AC voltage (alternating current voltage) alternates between nice and bad.
Voltage, electric-powered capacity difference, electric-powered stress, or electric-powered anxiety is the difference in electric-powered capacity among points, which is defined as the work needed in step with a unit of charge to move a take a look at a rate between the two factors.
Learn more about voltage here brainly.com/question/14883923
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Answer:
Hey
The rope isn't moving because each boy is pulling with the same force on opposite ends. That being said the bot pulling force is balanced.
Inside the rope are molecules connecting the whole thing together. The force they exert on each other must be equal because they aren't moving but are still exerting forces
Answer
given,
mass of ball, m = 57.5 g = 0.0575 kg
velocity of ball northward,v = 26.7 m/s
mass of racket, M = 331 g = 0.331 Kg
velocity of the ball after collision,v' = 29.5 m/s
a) momentum of ball before collision
P₁ = m v
P₁ = 0.0575 x 26.7
P₁ = 1.535 kg.m/s
b) momentum of ball after collision
P₂ = m v'
P₂ = 0.0575 x (-29.5)
P₂ = -1.696 kg.m/s
c) change in momentum
Δ P = P₂ - P₁
Δ P = -1.696 -1.535
Δ P = -3.231 kg.m/s
d) using conservation of momentum
initial speed of racket = 0 m/s
M u + m v = Mu' + m v
M x 0 + 0.0575 x 26.7 = 0.331 x u' + 0.0575 x (-29.5)
0.331 u' = 3.232
u' = 9.76 m/s
change in velocity of the racket is equal to 9.76 m/s