Answer:
The current density is
The drift velocity is
Explanation:
From the question we are told that
The nominal diameter of the wire is
The current carried by the wire is
The power rating of the lamp is
The density of electron is
The current density is mathematically represented as
Where A is the area which is mathematically evaluated as
Substituting values
So
The drift velocity is mathematically represented as
Where e is the charge on one electron which has a value
So
Answer:
Rolling friction is much smaller than sliding friction because Rolling friction is considerably less than sliding friction as there is no work done against the body that is rolling by the force of friction. For a body to start rolling a small amount of friction is required at the point where it rests on the other surface, else it would slide instead of roll.
Rolling Friction example: Anything with weels (cars,skateboards) or a ball rooling.
Sliding Friction example: Bicycle brakes,skinning your knee walking,writing.
Answer:
1. k = 183.33 N/m
2. E = 0.33 J
3. x(t) = 0.06cos(2πt)
Explanation:
1. Determine the spring constant of the spring.
To determine the spring constant, we use hooke's law:
F = kΔx
where
F is the force = 11 N
Δx is the displacement = 0.06 m
k is the spring constant
k = F/Δx
k = 11/0.06 = 183.33 N/m
2. Determine the total energy of the system
the total energy(E) = Δ = 0.5 × 183.33 × 0.06² = 0.33 J.
Therefore the total energy of the system is 0.33 J
3. Write an expression x(t) for the motion of the cart. Assume the frequency f=1Hz. Express your answer in terms of the variable t and constant pi.
The expression for the motion of the cart x(t) is given by:
x(t) = Δxcos(2πft)
where the frequency f = 1 Hz
x(t) = 0.06cos(2π ×1 × t)
x(t) = 0.06cos(2πt)
Answer:
First product is FCH-OH chemically known as 2-[2-furyl(hydroxyl)methyl]-Second product is FCH i.e (2E)-2-[2-furyl-methylene]-cyclohexanone
Explanation:
Please see the attached image for complete chemical reaction of aldol condensation of cyclohexanone
Aldol Condensation is a form of electrophilic substitution reaction in which the alpha carbon in enols or enolate anions is substituted by an electrophile to form carbon-carbon bond. Cyclohexanone also known as the first ketone consists of two alpha-carbons and four potential substitutions i.e alpha-hydrogens but none of the hydrogen on the ring is substituted. Ketones such as cyclohexanone are much more acidic than their parent hydrocarbon.
First product is FCH-OH chemically known as 2-[2-furyl(hydroxyl)methyl]-cyclohexanone that further undergoes dehydration resulting into FCH i.e (2E)-2-[2-furyl-methylene]-cyclohexanone
Based on the explanations above, the compound formed is shown in the image.