A budding magician holds a 3.98-mW laser pointer, wondering whether he could use it to keep an object floating in the air with the radiation pressure. This might be an idea for a new trick! Assuming the laser pointer has a circular beam 3.00 mm in diameter and the magician rigs up a totally reflecting sail on which to shine the laser, what is the maximum weight the magician could suspend with this technique

Answer:

Divergence generally means two things are moving apart while convergence implies that two forces are moving together. ... Divergence indicates that two trends move further away from each other while convergence indicates how they move closer together.

Explanation:

Explanation:

There are 1024/2 = 512 SHEETS   (each is numbered on two sides)

  3 inches * 25.4 mm/inch / 512 sheet = .1488 mm per sheet

The work done on the box from y=0 to 6.0m is 120 J.

To calculate the work done on the box from y=0 to 6.0m, we need to find the area under the force vs. position graph over that interval.

First, we can find the work done from 0 m to 2 m. Since the force is constant at 40 N over this interval, the work done is simply:

W = F * d = 40 N * 2 m = 80 J

From 2 m to 6 m, the force is constant at -20 N, so the work done is:

W = F * d = (-20) N * 4 m = -80 J

Note that the negative sign indicates that the work is done by the box on the force (since the force is in the opposite direction of the displacement).

Therefore, the total work done on the box from y=0 to 6.0m is:

W_total = 80 J - 80 J = 0 J

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The answers are 4. The distance from where the ball was kicked is 38.06 meters, 5. The speed of the ball 2.5 seconds after it was kicked is 13.82 m/s, and  6. The ball is 21.88 meters above the ground 2.5 seconds after it is kicked.

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Answer:

To find the distance a car drives to make one complete loop around the round-a-bout, we need to find the circumference of the circle formed by the round-a-bout.

The circumference of a circle can be calculated by the formula:

C = 2πr

Where C is the circumference, π (pi) is a constant approximately equal to 3.14, and r is the radius of the circle.

In this case, the radius of the round-a-bout is given as 20.0m, so we can calculate the circumference as:

C = 2πr = 2 × 3.14 × 20.0m = 125.6m

Therefore, a car would drive a distance of 125.6 meters to make one complete loop around the round-a-bout.

Answer is 589K − 273.15 = 315.85°C

Answer:

15 hours

Explanation:

formula: f(a) = a(0.5)^(T/t)

fill in known values: 13=208(0.5)^(60/t)

use natural log to isolate t:    ln(13/208)=ln(0.5)(60/t)

solve for t: t=15

Answer:

(1) 1000 N (2) 1 m/s²

Explanation:

(1) Given that,

The mass of a car, m = 1000 kg

Radius of a circular track, r = 100 m

Speed of the car, v = 10 m/s

We need to find the magnitude of the centripetal force acting on the car. The magnitude of the centripetal force is given by :

\(F=\dfrac{mv^2}{r}\\\\F=\dfrac{1000\times (10)^2}{100}\\\\F=1000\ N\)

So, the correct option is (c) i.e. 1000 N

(2).The mass of a car, m = 1000 kg

Radius of a circular track, r = 100 m

Speed of the car, v = 10 m/s

We need to find the magnitude of the centripetal acceleration of the car. The magnitude of the centripetal acceleration is given by :

\(a=\dfrac{v^2}{r}\\\\a=\dfrac{(10)^2}{100}\\\\a=1\ m/s^2\)

So, the correct option is (b) i.e. \(1\ m/s^2\)

The differential in air pressure on the ball's various sides allows a spinning ball to provide more lift than a non-spinning ball, in accordance with Bernoulli's principle.

According to Bernoulli's principle, the pressure of a fluid decreases as the fluid's velocity increases. A ball is pushed in the opposite direction by a force produced by lower pressure, possibly producing more lift.

The lift is given to the ball by the air because the right side air moves in the same direction of the motion of the ball while the lift side goes into the opposite direction that creates a difference in the air pressure and more lift is the result.

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\({\tt{\red{\underline{\underline{\huge{Answer:}}}}}}\)

\(\longrightarrow\) The rate of change of velocity per unit time is called acceleration.

\(\longrightarrow\) Its SI unit is m/s².

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In Tesla squared meters, the magnitude of the change in the magnetic flux. (ΔΦ= 2.3468T⋅m²).

The magnetic flux through the loop is given by;

Φ = B A cosθ

where B is magnetic field strength, A is area of the loop, and θ is angle between the normal to the loop and the direction of the magnetic field. Since the magnetic field is perpendicular to the plane of the loop, θ = 0 and cosθ = 1.

The magnitude of the change in the magnetic flux is given by;

ΔΦ = Φ₂ - Φ₁

where Φ₁ is the initial magnetic flux through the loop when the magnetic field strength is B₁ = 0.65 T, and Φ₂ is the final magnetic flux through the loop when the magnetic field strength is B₂ = 4.5 T.

The initial magnetic flux through the loop is;

Φ₁ = B₁ A cosθ = 0.65 × πr² × 1 = 0.1126 T⋅m²

The final magnetic flux through the loop is;

Φ₂ = B₂ A cosθ = 4.5 × πr² × 1 = 2.4594 T⋅m²

Therefore, the magnitude of the change in the magnetic flux is;

ΔΦ = Φ₂ - Φ₁ = 2.4594 - 0.1126 = 2.3468 T⋅m²

Therefore, ΔΦ = 2.3468 T⋅m².

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Answer:

The substance formed is the product. A chemical reaction is the process in which atoms present in the starting substances rearrange to give new chemical combinations present in the substances formed by the reaction. These starting substances of a chemical reaction are called the reactants, and the new substances that result are called the products.

Answer:

product

Explanation:

educere

Answer:

Explanation:

The unit "N/cm" or "N cm^-1" represents force per unit length, also known as linear pressure or stress. The unit "N" stands for the newton, which is the unit of force in the International System of Units (SI). The unit "cm" stands for centimeters, which is a unit of length in the SI.

In this case, the gradient of 0.08 N/cm means that for every centimeter of change in length, there is a corresponding force of 0.08 newtons. This gradient could be used to describe how much force is needed to stretch or compress an object, for example.

1. The force between the two charges is 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.

2. The resistance of 10 gauge aluminum wire over a 40 ft distance would be 0.506 ohms.

3. The cost of electricity from the automobile battery is 38.6 cents per kWh.

4. The current that would be carried through the body is 0.8 mA if dry.

1. The force between two point charges can be calculated using Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.

Using the values given, the force can be calculated as F = (k * q1 * q2) / r², where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them. Plugging in the values, the force can be calculated as 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.

2. The resistance of a wire is determined by its length, cross-sectional area, and resistivity. The resistivity of aluminum is higher than that of copper, so a larger cross-sectional area is required to achieve the same resistance. Using the gauge size conversion chart, 10 gauge aluminum wire has a cross-sectional area of 5.26 mm², which is approximately 83% of the cross-sectional area of 12 gauge copper wire.

Thus, the resistance of 10 gauge aluminum wire over a 40 ft distance can be calculated as R = (rho * L) / A, where rho is the resistivity of aluminum, L is the length, and A is the cross-sectional area. Plugging in the values, the resistance can be calculated as 0.506 ohms.

3. To calculate the cost of electricity per kWh, the total cost and the total amount of energy supplied must be known. Since the battery supplies 12 V and 51 A for one hour, the total energy supplied can be calculated as E = V * I * t, where V is the voltage, I is the current, and t is the time.

Plugging in the values, the total energy supplied can be calculated as 612 watt-hours (Wh). Since one kWh is equal to 1000 Wh, the total energy supplied can be converted to 0.612 kWh. Dividing the total cost by the total energy supplied gives the cost per kWh, which is 38.6 cents.

4. The current through the body can be calculated using Ohm's law, which states that current is equal to voltage divided by resistance. Using the values given, the resistance can be either 100,000 ohms or 300 ohms depending on whether the skin is dry or wet.

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Answer:

Force is 2 × 10^-4 N

Explanation:

\({ \bf{F = \frac{ \gamma_{o} I _{1} I _{2} l}{2\pi r} }}\)

F is force

I is current

r is separation distance

gamma is a constant

l is wire length

\(F = \frac{(4\pi \times {10}^{ - 7}) \times (20) \times (10) \times 1 }{2\pi \times 0.2} \\ \\ F = 2 \times {10}^{ - 4} \: \: newtons\)

The magnitude of the force on 1m length of the 20A wire is 2×10⁻⁴N.

To determine the answer, we need to know about magnetic field due to a current carrying wire and magnetic force.

The magnetic field due to a straight wire having current I₁ at a perpendicular distance (say) 'd'  is μ₀I₁ / 2\(\pi\)d.

Magnetic force on a current carrying wire of length 'L' and having current I₂ is I₂(L×B). Where B is the magnetic field at that wire.

  ( Here L and B are perpenicular to each other so L×B= L·B)    

                              = 20×1×10⁻⁵

                              =2×10⁻⁴N

Thus, we can conclude that the magnitude of the force on 1m length of the 20A wire is 2×10⁻⁴N.

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The most appropriate method to study the potential impacts of oil drilling on coastal California would be design a computer simulation of an oil spill in the area to determine the environmental impact design a computer simulation of an oil spill in the area to determine the environmental impact. The correct option to this question is C.

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( a ) The magnitude of the impulse given to the meteor is 2,480,000 kg.m/s at 22⁰ from original position.

( b ) The magnitude of the force applied to the meteor is 55,111.1 N.

The magnitude of the impulse given to the meteor is calculated from the change in momentum of the meteor.

Mathematically, the formula for Impulse is given as;

J = ΔP

J = m (vf - vi )

where;

The magnitude of the impulse given to the meteor is calculated as follows;

J = ( 310, 000 kg ) ( 27 m/s - 35 m/s )

J = ( 310, 000 kg ) ( -8 m/s )

J = -2,480,000 kg.m/s

| J | = 2,480,000 kg.m/s

The magnitude of the force applied to the meteor is calculated as follows;

F = ma = J / t

where;

F = ( 2,480,000 kg.m/s ) / ( 45 s )

F = 55,111.1 N

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The orientation of an mRNA codon corresponding to a tRNA anticodon is best described as A: antiparallel.

An anticodon is a three-base sequence, paired with a particular amino acid, that a tRNA molecule brings to the associated codon of the mRNA during translation. The anticodon sequence is said to be complementary to the mRNA, using base pairs in the anti-parallel direction.  The tRNA anticodon 3-UAC-5 will make pair with the mRNA codon.

Thus, the orientation of an mRNA codon relative to a tRNA anticodon is said to be antiparallel.

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Acknowledging one's worldview as a scholar-practitioner is crucial as it influences research inquiry. It shapes research questions, methods, and interpretations. Recognizing biases and being open to diverse perspectives ensures reliable and valid research.

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True. A 3-way switching system is a common installation for stairway lighting control.

This system allows you to control the lights from two locations. For example, if you want to turn the lights on at the bottom of the stairs, you can use the switch at the top of the stairs. This allows you to turn the lights on when you come down the stairs and off when you go up the stairs.

It also allows you to turn the lights off at the bottom of the stairs, which is convenient if you are leaving the house. Additionally, it allows you to have a light on at the bottom of the stairs to provide a safety measure at night. The 3-way switching system is an effective and efficient way to control lighting in a dwelling.

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Answer:

b. the electromagnetic spectrum

Explanation:

the electromagnetic spectrum contains all the forms of light, including gamma rays, x-rays, ultraviolet radiation, visible light, infrared, radio waves, microwaves, etc

The final amount of pressure caused by the force is 90 N/m².

Initial amount of force, F₁ = 22 x 10³ N

Initial amount of pressure produced, P₁ = 110 N/m²

Final amount of force exerted, F₂ = 18 x 10³ N

Pressure is defined as the amount of force acting on an object per unit area of the object.

So, we can say that the force and pressure are directly proportional.

F ∝ P

So, F₁/P₁ = F₂/P₂

Therefore, the final amount of pressure caused by the force is,

P₂ = F₂P₁/F₁

P₂ = 18 x 10³x 110/22 x 10³

P₂ = 18/0.2

P₂ = 90 N/m²

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A is the answer  because it is the answer

Answer:

C₁ = 34.8 μF

C₂ = 0.2 μF

Explanation:

When the capacitors are connected in series their resultant capacitance is given by the formula:

Cs = 1/C₁ + 1/C₂

where,

Cs = Series equivalent capacitance = 4.8 μF

C₁ = Capacitance of 1st Capacitor

C₂ = Capacitance of 2nd Capacitor

Therefore,

4.8 μF = 1/C₁ + 1/C₂

(4.8 μF)(C₁ C₂) = C₁ + C₂   --------------- equation 1

When the capacitors are connected in parallel their resultant capacitance is given by the formula:

Cp = C₁ + C₂

where,

Cp = Parallel equivalent capacitance = 35 μF

Therefore,

35 μF = C₁ + C₂   -------------- equation 2

solving equation 1 and equation 2 simultaneously, we get:

C₁ = 34.8 μF

C₂ = 0.2 μF

The approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.

To approximate the heat transfer through the air layer in the double-paned window, we can assume that the glass layers have a negligible impact on the heat flow. The heat transfer can be calculated using Fourier's Law of Heat Conduction, which states that the heat flow (Q) is proportional to the temperature difference (ΔT) and inversely proportional to the thickness (L) and thermal conductivity (k) of the material.

First, we need to calculate the effective thermal conductivity of the air layer due to its thickness and the thermal conductivity ratio between air and glass. Let's denote the thermal conductivity of air as k_air and the thermal conductivity of glass as k_glass. Since glass has a thermal conductivity roughly 36 times greater than air, we have k_glass = 36 * k_air.

Next, we calculate the effective thermal conductivity of the air layer as:

k_eff = (k_air * L_air) / (L_air + k_glass)

Substituting the given values, we have:

k_eff = (k_air * 0.0165 m) / (0.0165 m + 0.005 m) = 0.01309 * k_air

Now, we can calculate the heat flow per second through the air layer using the formula:

Q = (k_eff * A * ΔT) / L_air

Substituting the given values, we get:

Q = (0.01309 * k_air * 0.760 m^2 * 23.0 K) / 0.0165 m = 24.4 J/s

Therefore, the approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.

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Answer:

Gravitational potential energy is the greatest

Explanation

It is the highest point of a roller coaster.