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marta [7]
3 years ago
10

A disk of radius R = 11 cm is pulled along a frictionless surface with a force of F = 16 N by a string wrapped around the edge.A

t the instant when d = 30 cm of string has unwound off the disk, what is the torque exerted about the center of the disk?
Physics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer: 1.76 Nm

Explanation:

If the force pulls horizontally, this means that the force is tangent to the disk at any point of the string unwinding process, so the distance d is irrelevant.

In this case, the torque is directly given by the product of the force times the distance perpendicular to the center of the disk, which is just the radius, as follows:

τ = F * r = 16 N. (0.11) m = 1.76 Nm

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An iron wire has a cross-sectional area equal to 5.00×10⁻⁶ m² . Carry out the following steps to determine the drift speed of th
Doss [256]
  1. In mass, there are 55.85 × 10⁻³ kg/mol in in 1 mole of iron.
  2. The molar density of iron is equal to 1.41 × 10⁵ mol/m³.
  3. The density of iron atoms is equal to 8.49 × 10²⁸ atoms/m³.
  4. The number density of conduction electrons is equal to 1.70 × 10²⁹ conduction electrons/m³.
  5. The drift speed of conduction electrons is equal to 2.21 × 10⁻⁴ m/s.

<h3>How to calculate the drift speed of the conduction electrons?</h3>

Mathematically, the drift speed of the conduction electrons can be calculated by using this formula:

V = (m × σ × V)/ρ × e × f × l)

V = I/(n × A × Q)

Where:

  • U represents the drift speed of the conduction electrons, in m/s.
  • m represents the molecular mass of the metal, in kg.
  • e represents the elementary charge, in C.
  • f represents the number of free electrons per atom.
  • σ represents the electric conductivity of the medium at a particular temperature in S/m.
  • ρ represents the density of the conductor, in kg/m³.
  • ℓ represents the length of the conductor, in m.
  • ΔV represents the voltage applied or potential difference across the conductor in V.

<h3>How many kilograms are there in 1 mole of iron? </h3>

Molar mass of iron = 55.85 g/mol.

In Kilograms, we have:

Mass = 55.85 × 1/1000

Mass = 55.85 × 10⁻³ kg/mol.

For the molar density of iron, we have:

Molar density = density/molar mass

Molar density = 7874/0.056

Molar density = 1.41 × 10⁵ mol/m³.

For the density of iron atoms, we have:

Density of iron atoms = Avogadro's constant × molar density

Density of iron atoms = 6.023 × 10²³ × 1.406 × 10⁵

Density of iron atoms = 8.49 × 10²⁸ atoms/m³.

For the number density of conduction electrons, we have:

Fe ---> Fe²⁺ + 2e⁻

Number density of conduction electrons = 2 conduction electrons/1 atom of iron

Number density of conduction electrons = 2 × 8.49 × 10²⁸

Number density of conduction electrons = 1.70 × 10²⁹ conduction electrons/m³.

For the drift speed of conduction electrons, we have:

V = I/(n × A × Q)

V = 30/(1.70 × 10²⁹ × 1.602 × 10⁻¹⁹ × 5 × 10⁻⁶)

Drift speed, V = 2.21 × 10⁻⁴ m/s.

Read more on drift speed here: brainly.com/question/15219891

#SPJ4

Complete Question:

An iron wire has a cross-sectional area of 5.00 x 10-6 m2. Carry out steps (a) through (e) to compute the drift speed of the conduction electrons in the wire.

(a) How many kilograms are there in 1 mole of iron?

(b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter).

(c) Calculate the number density of iron atoms using Avogadro’s number.

(d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom.

(e) If the wire carries a current of 30.0 A, calculate the drift speed of conduction electrons.

4 0
2 years ago
Which form of electromagnetic radiation with a relatively high amount of energy is used to sanitize lab goggles?
Nostrana [21]

Answer:

sorry

Explanation:

i don't know this but when i find the answer i will type here

5 0
3 years ago
Identify the method of thermal energy transfer at work in hot air balloons. Explain how thermal energy is transferred in this sc
yan [13]
Thermal energy in the form of fire is generated by the combustion of fuel. Due to the tendency of hot air to rise upward, the heat generated rises to fill the space of the balloon. One this space is full of trapped hot air, the heat's tendency to rise causes the hot air balloon to be lifted into the air. 
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3 years ago
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What cosmic accident is believed to form many irregularly shaped galaxies?
daser333 [38]
The kind of cosmic accident which is believed to form many irregular shaped galaxies is known as Galactic Collisions. Galactic Collisions are cosmic accidents that create irregularly shaped galaxies. The Andromeda-Milky Way Collision is one example of galactic collision that is predicted to occur in the next four (4) billion years, where the Andromeda and the Milky Way galaxy collide will collide with each other to form a new galaxy.
6 0
3 years ago
A bat strikes a 0.145-kg baseball. Just before impact, the ball is traveling horizontally to the right at 35.0 m/s ; when it lea
Misha Larkins [42]

Answer:

Fx= 7242.6 N

Fy= 2751.47 N

Explanation:  

m=0.145 kg

u= 35 m/s

θ=33°

v=59 m/s

t= 1.69 ms

The change linear momentum in x direction

ΔPx = m ( u + v cosθ)

Now by putting the values

ΔPx = m ( u + v cosθ)

ΔPx = 0.145 ( 35 + 59 cos 33°)

ΔPx =12.24 kg.m/s

The change linear momentum in y direction

ΔPy = m v sinθ

Now by putting the values

ΔPy = m v sinθ

ΔPy = 0.145 x 59 sin 33°)

ΔPy =4.65 kg.m/s

From second law of Newtons

The rate of change of linear momentum is known as force.

F=\dfrac{dP}{dt}

The force in x direction

F_x=\dfrac{dP_x}{dt}

F_x=\dfrac{12.24}{1.69\times 10^{-3}}

Fx= 7242.6 N

The force in y direction

F_y=\dfrac{dP_y}{dt}

F_y=\dfrac{4.65}{1.69\times 10^{-3}}

Fy= 2751.47 N

7 0
3 years ago
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