During the Vector Addition lab, Mac and Tosh start at the classroom door and walk 35. 0 m, north, 65. 0 m east, 54. 5 m south, 30. 5 m west, and 4. 5 m, north. Determine the magnitude and direction of the resultant displacement of Mac and Tosh

to find the modulus of elasticity MoE at 23% of moisture content based on the already given modulus of elasticity of 12% moisture content we need to consider a shrinkage behavior of material. the expected MoE comes out to be approximately \(6,836 N/mm².\)

given information:

Modulus of elasticity at 12% moisture content =7,920 N/mm²

resultant shrinkage or final shrinkage percentage FSP = 30%

To calculate the expected MoE at 23% moisture content we have the following equation:

MoE-23% =   \(MoE-12%\) \((1 - FSP (23 - 12) / (100 - 12))\)

MoE-23% = \(7,920 N/mm² × (1 - 0.30 × (23 - 12) / (100 - 12))\)

MoE-23% =\(7,920 N/mm² × (1 - 0.30 × 11 / 88)\)

MoE-23% = \(7,920 N/mm² × (1 - 0.1364)\)

MoE-23% = \(7,920 N/mm² × 0.8636\)

MoE-23% =  \(6,836 N/mm²\)

therefore the expected modulus of elasticity at 23% moisture content comes out to be approx \(6,836 N/mm²\).

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Human body weight is equal to 600 N. Gravitational acceleration on earth: g = 10 m s 2 Man's weight on Earth is 600 kg. 10 sq . ft = 60 kg Since mass is consistent everywhere, we are aware of this.

What does gravity mean?

The attraction of items by the earth is known as gravitation. The earth's gravity causes objects that are hurled upward to reach a specific height before falling to the ground. 2. Space objects may be drawn to one another by gravity. the attraction force between the sun and the other planets.

Gravitational interaction: What is it?

The weakest of the four basic forces of nature, attraction between physical things having mass or energy is a natural phenomena. also known as gravity. the process or act of moving while being drawn to something. check out gravitational interaction. a movement in the direction of a source of desire: the middle classes' attraction.

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Output power of the solar panel is 170.6 W.

Solar panels are those tools that take the sun's rays and turn them into heat or power.

An array of solar (or photovoltaic) cells make up a solar panel, which can be used to produce power thanks to the photovoltaic effect. On the surface of solar panels, these cells are organized in a grid-like configuration.

Given parameters:

Area of the solar panel: A = 1.25 m²

Efficiency of the solar panel; η = 21.0%

The insolation of it = 650 W/m².

Hence, input power of the solar panel: I =  insolation × area

= 650 × 1.25 W

= 812.5 W.

Output power of the solar panel: O = efficiency × input power

= 21.0% ×821.5 W

= 170.6 W.

Hence, its output power is 170.6 W.

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The conditions which would result in clockwise emf in loop are

a) The magnitude of B increases

c)The loop Rotates through 45 degrees about vertical axis

This all happens according to the right-hand thumb rule of electromagnetics. The EMF (Electro Motive Force) changes according to the movement of Loop as it is dependent on the motion which further connects to the right hand thumb rule as shown in the figure attached.

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The correct answer is Specific heat.

The amount of energy required to raise the temperature of one pound of water by one degree Fahrenheit at standard atmospheric pressure is called specific heat in BTU (British Thermal Unit) which is a unit of measurement for energy used as per the British system.

BTU is used for measuring the heating or cooling capacity of an appliance as per the FPS system. For example, the BTU rating of a furnace or air conditioner indicates how much heat or cooling it can produce in a given period of time.

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Answer:T=1316.21 N

Explanation:

The tension has two components: Vertical and Horizontal. The

horizontal component is ma, the vertical component is mg. Using

Pythagoras theorem, we can find the tension as:

T=((ma)^2 (mg)^2)^(1/2)

So

T=((129*2.84)^2 (129*9.8)^2)^(1/2)

T=1316.21 N

If the truck is moving with the same velocity, if the mass is cut in half then the momentum of the truck will also reduce to half.

The momentum of a body can be described as the function of the object's mass and velocity. Momentum (p) can be determined as kinetic energy and is the product of velocity (v) and mass (m).

The momentum of an object can be determined from the mathematical formula:

p = m×v

The momentum of an object is conserved and can be equal to zero if the object is stationary and its velocity of an object is zero.

Given, the truck has a momentum, p = 5000 units

Given that the mass of the truck is reduced to half. Then the new mass of the truck is equal m/2.  If the truck is still moving with the same velocity then the momentum is equal to:

p' = m' ×v

p' = (m/2) ×v

p' = mv/2

p' = p/2

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To determine the work required for each complete turn of the crank when preparing homemade ice cream with a torque of 3.95 N*m, you can follow these steps:

1. Identify the given values: torque (τ) = 3.95 N*m.
2. Remember that work (W) is calculated by multiplying the torque (τ) by the angle in radians (θ): W = τ * θ.
3. Since we want the work required for each complete turn of the crank, the angle (θ) should be in radians for a full rotation, which is 2π radians.
4. Plug the values into the equation: W = 3.95 N*m * 2π radians.

Your answer: To prepare homemade ice cream, if a crank must be turned with a torque of 3.95 N*m, the work required for each complete turn of the crank is approximately 24.83 J (joules).

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Answer:

D

Explanation:

I think those are weakest

Answer:

D. ionic bonds

Explanation:

ionic bonds are the weakest as its between ions

hydrogen bonds are stronger as it is electrostatic force so its strong

metallic bonds are the sharing of many detached electrons between many positive ions they call it a glue because they are hardly breakable

Answer:

If this is electrical currents , make the wire longer, smaller diameter wires, heat it up

Answer:

Earth's magnetic field aligns the magnet in the compass with its north pole. A second method is to observe the night sky in the polar regions. Northern and Southern Lights are produced by the interaction of the Earth's magnetic field with solar radiation.

Hope this helps!!!

The total force acting on the loop is given by: F total = 4F = 4(0.0823) = 0.3292 N The direction of the force is perpendicular to the plane of the loop.  As the loop moves into the magnetic field, the force acting on the loop will cause the loop to rotate.

The force (F) experienced by a charged particle moving in a magnetic field can be expressed as: F = qvBsinθwhere F is the force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between v and B. The magnetic force is given by F = BILsinθ. Since the loop has a rectangular shape, we can break it into four equal segments and compute the magnetic force acting on each segment.

The magnetic force on each of the four equal segments can be computed as: F = BILsinθ = B(0.085)(0.095)(35)/4 sin(90) = 0.0823 N The total force acting on the loop is the sum of the forces acting on the four segments. Therefore, the total force acting on the loop is given by: F total = 4F = 4(0.0823) = 0.3292 N The direction of the force is perpendicular to the plane of the loop.

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The induced current in the rectangular loop of wire is approximately 0.1914 A.

To determine the induced current in the rectangular loop, we can use Faraday's law of electromagnetic induction, which states that the induced electromotive force (emf) is equal to the rate of change of magnetic flux through the loop.

The magnetic flux is given by the product of the magnetic field strength (B) and the area of the loop (A).

Area of the rectangular loop:

Rate of change of area:

Induced electromotive force (emf):

Induced current:

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Answer:

E = 2.7 x 10¹⁶ J

Explanation:

The release of energy associated with the mass can be calculated by Einstein's mass-energy relation, as follows:

\(E = mc^2\)

where,

E = Energy Released = ?

m = mass of material reduced = 0.3 kg

c = speed of light = 3 x 10⁸ m/s

Therefore,

\(E = (0.3\ kg)(3\ x\ 10^8\ m/s)^2\)

E = 2.7 x 10¹⁶ J

: Molecular magnet can refer to : molecular based magnet . An unconventional magnetic material that consists of organic molecules cordination compounds and combination

Answer:

Explanation:

The centripetal acceleration:

aₙ = F /m = 125 /19 ≈ 6.6 m/s²

According to the question the minimum number of machines to be ordered would be 111 machines to meet the demand of 98 units for a process that totals 22.6 minutes in a typical 8-hour workday.

To determine the minimum number of machines to be ordered for a process that totals 22.6 minutes and has a demand of 98 units for a typical 8-hour day, we need to calculate the production rate and then determine the number of machines required.

First, let's convert the 8-hour workday into minutes:

8 hours * 60 minutes = 480 minutes

Next, we can calculate the production rate per minute:

Production Rate = Demand / Total Time

Production Rate = 98 units / 480 minutes

Production Rate ≈ 0.2042 units per minute

Now, let's calculate the number of machines required using the production rate and the process time per machine:

Number of Machines = Total Time / Process Time per Machine

Number of Machines = 22.6 minutes / (0.2042 units per minute)

Number of Machines ≈ 110.8 machines

Since we cannot have fractional machines, we need to round up the number of machines to the nearest whole number.

Therefore, the minimum number of machines to be ordered would be 111 machines to meet the demand of 98 units for a process that totals 22.6 minutes in a typical 8-hour workday.

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To find the average velocity on a velocity-time graph, you need to calculate the slope of the line connecting two points on the graph. The average velocity represents the change in velocity divided by the change in time between those two points.

To calculate the average velocity, you can use the formula:

Average velocity = (change in velocity) / (change in time)

You can determine the change in velocity by finding the difference between the final velocity and the initial velocity. The change in time is the difference in the time coordinates of the two points.

Select two points on the velocity-time graph, typically denoted by (t₁, v₁) and (t₂, v₂), where t represents time and v represents velocity. Then, substitute the values into the formula mentioned above to calculate the average velocity.

It's important to note that the average velocity provides information about the overall change in velocity over a specific time interval, rather than instantaneous velocity at a particular moment.

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The magnitude of the electric field along the axis of the rod at a point 42.0 cm from its center is approximately 7.42 × 10^4 N/C directed away from the rod.

To determine the electric field at a point along the axis of a uniformly charged rod, we can use the equation for the electric field due to a charged rod:

E = (k * λ) / (2πε₀ * r),

where E is the electric field, k is Coulomb's constant (9 × 10^9 N m²/C²), λ is the linear charge density of the rod (charge per unit length), ε₀ is the permittivity of free space (8.85 × 10^-12 C²/N m²), and r is the distance from the center of the rod.

First, we need to calculate the linear charge density (λ) of the rod. Given that the total charge of the rod is -23.0 µC (microcoulombs) and the length of the rod is 16.0 cm, we can find λ:

λ = Q / L,

where Q is the total charge and L is the length of the rod. Converting the length to meters and the charge to coulombs, we have:

λ = (-23.0 × 10^-6 C) / (0.16 m).

Now, we can substitute the values into the electric field equation:

E = (9 × 10^9 N m²/C²) * [(-23.0 × 10^-6 C) / (2π * 8.85 × 10^-12 C²/N m² * 0.42 m)].

Calculating this expression yields E ≈ 7.42 × 10^4 N/C. The negative sign indicates that the electric field is directed away from the rod, as the rod has a negative charge.

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The force that must be applied on the brakes to hold the aircraft stationary is 84.51 kN (approx).

The force that must be applied on the brakes to hold the aircraft stationary is 84.51 kN.

Step 1:We can determine the exhaust gas temperature using the formulaT4 = T3 + (qin / (cp * m_dot)).Where,T3 = 1191.7 K (Given)qin = heating value of fuel × mass flow rate of fuel = 42,700 × 0.2 = 8,540 kJ/kgcp = specific heat at constant pressure = 1.005 kJ/kg.Km_dot = mass flow rate of air + mass flow rate of fuel = 10 + 0.2 = 10.2 kg/s

Putting all the values,T4 = 1191.7 + (8,540 / (1.005 * 10.2)) = 1191.7 + 84.85 = 1276.55 K

Step 2:The static thrust produced by the engine can be found out by the formula:

F = m_dot * (V2 - V1) + A2 * (P2 - P1)

Where,m_dot = mass flow rate of airA2 = area of the exhaust nozzleV1 = velocity of air at the engine inletV2 = velocity of air at the engine exitP1 = pressure of air at the engine inletP2 = pressure of air at the engine exitWe can use the simplified form of the above formula, which neglects the increase in the kinetic energy of the air in the combustor, the increase in the potential energy of the air from the inlet to the exhaust, and the change in the kinetic energy of the air from the inlet to the exhaust.F = m_dot * (Ve - V1) + Ae * (Pe - P1)

Where,Ve = velocity of air at the engine exitAe = area of the exhaust nozzlePe = pressure of air at the engine exitWe can calculate the value of Ve using the formula:Ve = sqrt(2 * cp * T4 * (1 - (P2 / P1)^((γ - 1) / γ))))Where,γ = ratio of specific heats = 1.4Putting all the values,Ve = sqrt(2 * 1.005 * 1276.55 * (1 - (1 / 12)^0.4))) = 724.23 m/sNow, we can calculate the static thrust,F = m_dot * (Ve - V1) + Ae * (Pe - P1)= 10.2 * (724.23 - 0) + (0.785 * (0.25)^2 * (12 * 10^3 - 95) * 10^3)= 74,044.47 N

Step 3:The force that must be applied on the brakes to hold the aircraft stationary is equal and opposite to the static thrust, that is, 74,044.47 N.

The value in kN will be: 74.04447/1000 = 74.04 kN.

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Answer: \(0.708\ mA\)

Explanation:

Given

\(E_o=20\ V/m\)

\(\omega =10^7\ s^{-1}\)

Cross-sectional area \(A=0.40\ m^2\)

Current density is given by

\(J=\epsilon_o \dfrac{dE}{dt}\)

Displacement current

\(\Rightarrow I=JA\\\Rightarrow I=8.854\times 10^{-12}\times 20\times 10^7\times 0.4\\\Rightarrow I=0.708\times 10^{-3}\ A\)

The required value of the maximum displacement current of the given space is  \(7.08 \times 10^{-4} \;\rm A\).

Given data:

The intensity of electric field is, \(E_{0}=20 \;\rm V/m\).

The angular frequency of electric field is, \(\omega=1.0 \times 10^{7} \;\rm s^{-1}\).

The cross-sectional area of space is, \(A =0.40 \;\rm m^{2}\).

In the given problem, the instantaneous electric field is given by \(E = E_{0} \times cos(\omega t)\)

So, the expression for the current density is,

\(J= \epsilon_{0} \times \dfrac{dE}{dt}\)

Here, \(\epsilon_{0}\)  is the permittivity of free space. Solving as,

\(J= \epsilon_{0} \times \dfrac{d(E_{0} \times cos(\omega t))}{dt}\\\\J= -\epsilon_{0} \times E_{0} \times \omega \times sin(\omega t)\)

And the expression for the maximum displacement current is,

\(I = J \times A\)

And the maximum displacement current is possible only when, J is positive and J will be positive for  \(sin(\omega t)=-1\).

Then solving as,

\(I = (-\epsilon_{0} \times E_{0} \times \omega \times sin(\omega t)) \times A\\\\I = (-8.85 \times 10^{-12} \times 20 \times (1.0 \times 10^{7}) \times (-1)) \times 0.40\\\\I = 7.08 \times 10^{-4} \;\rm A\)

Thus, we can conclude that the required value of the maximum displacement current of the given space is  \(7.08 \times 10^{-4} \;\rm A\).

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a) Mutual inductance = 0.108 H; Coupling coefficient = 0.482. b) - 4.95 V.


a) Mutual inductance, M between coil A and coil B can be given as:

M = k√(L_AL_B) here, k is the coupling coefficient, L_A and L_B are the inductances of the coil A and coil B respectively. Since 54% of flux produced by coil A links coil B,

So, K = 0.54

L_A = N_A Φ/I_AL_A

= 8120 × 0.02/6

= 27.07 mH

L_B = N_B Φ/I_BL_B

= 11842 × 0.078/6

= 154.63 mH

M = k√(LALB) = 0.482 × √(27.07 × 0.15463) = 0.108 H

b) The emf induced in coil B can be given as:-

ε = M (dI_B/dt)/L_B

ε = 0.108 × (-6/0.015) / 0.15463 = -4.95 V

Thus, the emf induced in coil B when the current is reversed in 0.015 seconds is -4.95 V.

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Answer:

Watts

Explanation:

The SI unit for power is the watt (W), where 1 watt equals 1 joule/second (1 W=1 J/s).

Answer:

Acceleration (b) not sure tho

Explanation:

The final angular velocity will be 10.96 rad/sec.

According to the rule of conservation of angular momentum, an object's angular momentum won't change when no external tension is applied to it. Several instances of momentum: The speed at which the Earth spins hasn't changed in billions of years.

Given, mass in each hand, m = 2 kg

        initial angular velocity, ω₁ = 1 rev/s = 1×2π = 6.28 rad/sec

        moment of inertia of skater, I = 5 kgm²

        initial distance of the masses from the axis, d₁ = 1m

        final distance of the masses from the axis, d₂ = 0.2m

    According to conservation of angular momentum,

 Linitial = Lfinal

 I₁ω₁ = I₂ω₂

I₁ = 5+2×2×1 = 9 kgm²

I₂ = 5+2×2×(0.2)² = 5.16 kgm²

9×6.283 = 5.16×ω₂

ω₂ = 9×6.2833/5.16

ω₂ = 10.96 rad/s

So, the final angular velocity will be 10.96 rad/s.

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Answer:

64.4 m

Explanation:

First, find how long it takes to land.  Given in the y direction:

Δy = 0 m

v₀ = 27 m/s sin 60° ≈ 23.4 m/s

a = -9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

0 m = (23.4 m/s) t + ½ (-9.8 m/s²) t²

t = 4.77 s

Next, find how far it travels in that time.  Given in the x direction:

v₀ = 27 m/s cos 60° = 13.5 m/s

a = 0 m/s²

t = 4.77 s

Find: Δx

Δx = v₀ t + ½ at²

Δx = (13.5 m/s) (4.77 s) + ½ (0 m/s²) (4.77 s)²

Δx = 64.4 m

The terminal speed of the marble is 0.588 m/s.

We know that,

F = mg                                                   ......(1)

where,

F = force

m = mass

g = acceleration due to gravity

Also,

v = F/k                                                       ......(2)

where,

v = terminal speed

k = proportionality constant

Substituting the value of F from equation (1) in equation (2)

v = mg/k                                                         .......(3)

Given,

m = 30 g = 0.030 kg

k = 0.500 kg/s

g = 9.8 m/s²

To find,

v =?

Put the values in equation (3)

v = mg/k              

v = 0.03(9.8)/ 0.500

  = 0.294/0.500

  = 0.588 m/s

​

Hence, the terminal speed of the marble is 0.588 m/s.

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.

0.588 m/s

0.588 m/s is the terminal speed of the marble.

We know that,

F = mg  ----> eq(1)

where,

F = force

m = mass

g = acceleration due to gravity

We also know,

v = F/k ----> eq(2)

where,

v = terminal speed

k = proportionality constant

On substituting the value of F from eq(1) in eq(2)

v = mg/k  

Given,

m = 30 g = 0.030 kg

k = 0.500 kg/s

g = 9.8 m/s²

we need to find,

v =?

substitute the values in equation (3)

v = mg/k            

v = 0.03(9.8)/ 0.500

 = 0.294/0.500

 = 0.588 m/s

Hence, the terminal speed of the marble is 0.588 m/s.

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Answer:

The answer is 29 AU

Hoped I helped

mark me as brainliest

Answer:

29

Explanation:

If the speed of the magnet is doubled, the induced voltage will be four times as great.

According to Faraday's Law of Electromagnetic Induction, the magnitude of the induced voltage in a coil is directly proportional to the rate of change of magnetic flux through the coil. When the speed of the magnet is doubled, the rate of change of magnetic flux through the coil also doubles, resulting in a doubling of the induced voltage.

However, since the induced voltage is directly proportional to the rate of change of magnetic flux, a doubling of the speed of the magnet results in a fourfold increase in the rate of change of magnetic flux, which leads to a fourfold increase in the induced voltage. Therefore, if the speed of the magnet is doubled, the induced voltage will be four times as great. This effect is important in many applications, such as electrical generators, where the speed of the rotor is used to control the output voltage of the generator.

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