A flashlight can be made that is powered by the induced current from a magnet moving through a coil of wire. The coil and magnet are inside a plastic tube that can be shaken causing the magnet to move back and forth through the coil. Assume the magnet has a maximum field strength of 0. 05 T.


Make reasonable assumptions and specify the size of the coil and the number of turns necessary to light a standard 1-watt, 3-V flashlight bulb

We can derive an expression in terms of the variables v0 (initial velocity) and d (distance to the moose). The expression for the acceleration is a = v0² / (2d).

To stop before hitting the moose, the car needs to come to a complete halt. We can assume the car's final velocity is zero. Using the kinematic equation

v² = u² + 2as, where

v is the final velocity,

u is the initial velocity,

a is the acceleration, and

s is the distance covered,

we have v = 0 and u = v0. Rearranging the equation, we get

0 = v0² + 2as.

Since the car needs to stop, s becomes -d (negative distance) because the car needs to cover a distance equal to d in the opposite direction. Substituting these values, we have 0 = v0² + 2a(-d).

Solving for a, we find a = v0² / (2d), which represents the magnitude of the minimum constant acceleration needed to stop before hitting the moose.

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The force between charges becomes 2.5 N, if the distance between them is doubled. Option d is the correct choice.

The force between two charged objects is inversely proportional to the square of the distance between them. This means that if the distance between the objects is doubled, the force between them will be reduced to one-fourth (1/2^2) of its original value.

Since the initial force between the objects is 10 N, if the distance between them is doubled, the force between them will become,

10 N / 2^2 = 2.5 N\

Therefore, the correct answer is (d) 2.5 N.

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--Two charged objects have an attractive force of 10 N. If the distance between them is doubled, the force between them is :

a. 40 N

b. 20 N

c. 5 N

d. 2.5 N--

The relative density of the substance is equal to the density of the substance concerning the density of the reference substance.

The relative density of the substance is known as the specific gravity.

Hence, option B is the correct answer.

A mechanical wave is created when a source of energy causes a vibration. Vibration causes disturbance in system.

A mechanical wave is a wave that is caused by the oscillation of matter and so conveys energy through a medium.

When an energy source causes a vibration to propagate across a medium, it is called a mechanical wave.

A mechanical wave is a type of wave in which the medium's vibration is perpendicular to the wave's travel direction.

Hence, vibration is the correct answer.

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Initial speed of the coin (u)= 0 (As the coin is released from rest)

Acceleration due to gravity (a) = g = 9.81 m/s²

Time of fall (t) = 1.5 s

From equation of motion we have:

\( \boxed{ \bf{v = u + at}}\)

By substituting values in the equation, we get:

\( \longrightarrow \) v = 0 + 9.81 × 1.5

\( \longrightarrow \) v = 14.715 m/s

\( \therefore \) Speed of the coin as it hits the ground/Final speed of the coin = 14.715 m/s

The speed of the coin as it hits the ground is 14.715 m/s.

We can solve the problem above using the equation of acceleration under gravity.

⇒ Equation:

v = u+gt................... Equation 1

⇒ Where:

From the question,

⇒ Given:

Substitute these values into equation 1

Note the speed has a negative sign because it acts in the same direction as the acceleration due to gravity

Hence, the speed of the coin as it hits the ground is 14.715 m/s.

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As there is no figure provided, I cannot provide a specific answer to this question. However, I can explain the concept of equilibrium and the conditions necessary for an object to be in equilibrium.

When an object is in equilibrium, it means that it is not accelerating and its net force is zero. There are two types of equilibrium: static equilibrium and dynamic equilibrium.

Static equilibrium is when the object is at rest and its net force is zero. Dynamic equilibrium is when the object is moving at a constant velocity and its net force is zero.

For an object to be in static equilibrium, two conditions must be met:

The net force acting on the object must be zero.

The net torque (rotational force) acting on the object must be zero.

In order to determine the magnitudes of the forces F_u1 and F_u2, we would need more information about the object and the forces acting on it.

We would need to know the direction and magnitude of all the forces acting on the object, as well as the distance between the forces and the point of rotation (if there is any).

Without this information, it is not possible to determine the magnitudes of F_u1 and F_u2.

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(a) The force is the spring exerting on the dart is 0.7 N.

(b) The elastic potential energy stored in the spring is 7 x 10⁻³J.

(c) The kinetic energy of the dart when it reaches the natural length of the spring is 7 x 10⁻³J.

(d) The speed of the dart when it reaches the natural length of the spring is 2.65 m/s.

F = kx

where;

F = 35 N/m x 0.02 m

F = 0.7 N

U = ¹/₂kx²

U = ¹/₂(35)(0.02)²

U = 7 x 10⁻³ J

The elastic potential energy of the spring will be converted into kinetic energy of the dart, with a magnitude of  7 x 10⁻³ J when it reaches natural length of the spring.

K.E = ¹/₂mv²

v² = (2K.E)/m

where;

v² = (2 x 7 x 10⁻³)/(0.002)

v² = 7

v = 2.65 m/s

Thus, the force is the spring exerting on the dart is 0.7 N.

The elastic potential energy stored in the spring is 7 x 10⁻³J.

The kinetic energy of the dart when it reaches the natural length of the spring is 7 x 10⁻³J.

The speed of the dart when it reaches the natural length of the spring is 2.65 m/s.

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Answer:

In physics and engineering, a resultant force is the single force and associated torque obtained by combining a system of forces and torques acting on a rigid body. The defining feature of a resultant force, or resultant force-torque, is that it has the same effect on the rigid body as the original system of forces.

I hope it's helpful!

Answer:

it is a force that result in anything to be done

The airline will need to have at least 167 passengers on each flight to break even.

To calculate the number of passengers needed to break even, we need to consider the total costs and the revenue generated per flight.

The total cost per flight consists of the fixed costs (£25,000) and the variable costs (£75 per passenger). The revenue per flight is determined by the ticket price (£225) multiplied by the number of passengers.

Let's denote the number of passengers as 'P'. The total cost per flight is given by:

Total Cost = Fixed Costs + (Variable Cost per Passenger * Number of Passengers)

Total Cost = £25,000 + (£75 * P)

The revenue per flight is given by:

Revenue = Ticket Price * Number of Passengers

Revenue = £225 * P

To break even, the total cost should equal the revenue:

£25,000 + (£75 * P) = £225 * P

Now, we can solve this equation for P to find the number of passengers needed to break even:

£25,000 + (£75 * P) = £225 * P

£25,000 = £225 * P - £75 * P

£25,000 = £150 * P

P = £25,000 / £150

P ≈ 166.67

Since the number of passengers must be a whole number, we round up to the nearest whole number:

P = 167

The airline will need at least 167 passengers on each flight to break even. However, since the maximum capacity of the aircraft is 200 passengers, the airline will need to fill the aircraft to its maximum capacity to break even on each flight.

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Answer:

0

Explanation:

since the object is in equilibrium

To determine the reject rate (RR) for each scenario, we need to consider the capability indices Cp and Cpk along with the specifications for tensile strength. The reject rate represents the proportion of parts that do not meet the specifications.

1. RR = 0.27%

2. RR = 16.03%

3. RR = 0%

4. RR = 0.003%

5. RR = 0.27%

6. RR = 2.28%

7. RR = 29.93%

8. RR = 0%

9. RR = 5.87%

Please note that these calculations assume a normal distribution of tensile strength and that the process is in statistical control. The reject rate is obtained by evaluating the proportion of values falling outside the specified limits based on the process capability indices Cp and Cpk.

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The momentum (p) of an object is defined as the product of its mass (m) and velocity (v). The formula for momentum is:

p = m * v

Here, the mass of the object is 700 kg and its velocity is 16 m/s. Substituting these values in the formula, we get:

p = 700 kg * 16 m/s

p = 11,200 kg*m/s

Therefore, the momentum of the object is 11,200 kg*m/s.

Answer:

March 21 = Vernal Equinox

Artic = North Pole

December 21 = Winter Solstice

Meridians = Longitude

September 23 = Autumnal Equinox

Greenwich, England = Prime Meridian

Antarctic = South Pole

Marianas Trench = Lowest point on earth

Parallels = Latitude

International Date Line = 180th Meridian

Explanation:

In order to reduce the current flowing through the lightbulb, the team wanted to find a way to increase resistance.​ Hence, option (D) is correct.

Ohm's law is one of the most fundamental and significant principles governing electrical circuits.

Under the assumption that all physical parameters and temperatures remain constant, Ohm's law asserts that the voltage across a conductor is directly proportional to the current flowing through it.

Mathematically, V = IR

Hence, The team was trying to figure out a technique to increase resistance at constant voltage supply in order to decrease the current flowing through the lightbulb.

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Answer:

Explanation:

Since forces are acting in opposite direction

Net force on the car = 50 - 30 = 20 N

mass of car

= weight / g

= 100 / 10

m = 10 kg

acceleration of car = net force / mass

= 20 / 10

= 2 m /s² .

The answer depends on the force-distance relationship for stretching the bands and the displacement of the stone from the equilibrium position.

The force required to stretch one rubber band by 1.0 cm is 15 N. Therefore, the force required to stretch it by 0.20 m is (15 N/0.01 m) * 0.20 m = 300 N.

The potential energy stored in each rubber band is given by the formula PE = (1/2) * k * \(x^2\), where k is the spring constant and x is the displacement. Since we have two rubber bands, the total potential energy stored in the two bands together is PE = 2 * (1/2) * k * \(x^2\).

Substituting the values, where k = 300 N/m and x = 0.20 m, we can calculate the potential energy:

PE = 2 * (1/2) * (300 N/m) * \((0.20 m)^2\) = 12 J.

Therefore, the potential energy stored in the two bands together when the stone is pulled back 0.20 m is 12 J.

(b) To determine the speed at which the stone leaves the slingshot, we can use the principle of conservation of mechanical energy. At the point of release, all the potential energy stored in the bands is converted into kinetic energy of the stone.

The potential energy stored in the bands is given by PE = (1/2) * m * \(v^2,\) where m is the mass of the stone and v is its velocity.

Equating the potential energy to the initial potential energy (12 J) and solving for v, we have:

(1/2) * m * \(v^2\) = 12 J.

Substituting the values, where m = 50 g = 0.05 kg, we can solve for v:

(1/2) * (0.05 kg) * \(v^2\) = 12 J.

\(v^2\) = (12 J) / (0.025 kg) = 480 \(m^2/s^2.\)

Taking the square root of both sides, we find v ≈ 21.9 m/s.

Therefore, the stone leaves the slingshot with a speed of approximately 21.9 m/s.

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Answer:

A, C, D

Explanation:

A, C and D are true.

B is false as energy can neither be created nor destroyed.

When a substance melts, it can exist in both the solid and liquid states, and when it boils, it can exist in either the liquid or gaseous states.

What are the Implications of Different Boiling Points?

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A ball held over a person's head | a ball rolling on the floor is an example of an object that has potential energy followed by an object that has kinetic energy.

This is the type of energy possessed by a body by virtue of its motion or movement.

The rolling ball therefore has kinetic energy while a ball being held over a person's head has potential energy which is the energy possessed by a body by virtue of its position.

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The cross product of A and B is perpendicular to both A and B.

A × B = (4i + 2j + 2k) × (4i - 4j + 8k)

A × B = 16 (i × i) - 16 (i × j) + 32 (i × k) + 8 (j × i) - 8 (j × j) + 16 (j × k) + 8 (k × i) - 8 (k × j) + 16 (k × k)

A × B = -16 (i × j) - 32 (k × i) - 8 (i × j) + 16 (j × k) + 8 (k × i) + 8 (j × k)

A × B = -16k - 32j - 8k + 16i + 8j + 8i

A × B = 24i - 24j - 24k

The magnitude of A × B is

||A × B|| = 24 ||i - j - k|| = 24√3

Dividing A × B by its magnitude gives a unit vector,

(A × B)/||A × B|| = 1/√3 (i - j - k)

Answer:

Explanation:

For acceleration due to gravity g , the expression is

g = GM / R² , where G is gravitational constant M is mass of the earth and R is radius of the earth .

At height h , let the value of it becomes g / 4 , so

g / 4 = GM / ( R + h )²

dividing

4 = [( R+ h)² / R² ]

2 = (R + h) / R

2 = 1 + h / R

h / R = 1

h = R

So at height equal to radius of the earth , acceleration due to gravity becomes 1 /4 of value on the surface of the earth .

Answer:

please find attached file

Explanation:

The ranking of the members based on the initial frequency of their low E string is as follows: Aiko, Evita, fleau, hrau, /bm/,\(ン.\)

Based on the given information, the ranking of the members can be determined by considering the changes in the frequency of their low E string when they increase the tension. The members are ranked from largest to smallest initial frequency.

The ranking indicates that Aiko has the highest initial frequency, followed by Evita. Fleau has a lower initial frequency than Evita, and hrau has a lower initial frequency than fleau. /bm/ has a lower initial frequency than hrau, and\(ン\)has the smallest initial frequency among all the members.

This ranking suggests that Aiko's low E string has the highest pitch, while \(ン'\)s low E string has the lowest pitch among the members. It provides an order based on the relative frequencies of their low E strings.

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The critical angle of the transparent material is 35.3 degrees.

The critical angle is the angle of incidence at which the angle of refraction is 90 degrees. In this case, the angle of refraction is 32 degrees. Therefore, the critical angle is calculated as follows:

sin(critical angle) = sin(90 degrees) / sin(angle of refraction)

sin(critical angle) = 1 / sin(32 degrees)

sin(critical angle) = 0.574

critical angle = arcsin(0.574)

critical angle = 35.3 degrees

Therefore, the critical angle of the transparent material is 35.3 degrees.

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Answer:

19 cm sq

Explanation:

you have to count one full and half area occupied by leaf in each box, then you have to multiply with 1 cm sq.

\(\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}\)

Answer:

y = m λ L / d

must use lasers of greater wavelength

Explanation:

The expression for the constructive interference of a double slit is

           d sin θ = m λ

let's use trigonometry to find the angle

          tan θ = y / L

in interference phenomena the angles are small

         tan θ= sin θ/ cos θ = sin θ

         sin θ = y / L

we subjugate

         d y / L = m λ

         y = m λ L / d

In this expression we see that the separation of the lines (and) increases linearly with the wavelength, therefore we must use lasers of greater wavelength

Answer:Single-Replacement, synthesis, decomposition, combustion.

Explanation:

Had to get it wrong to find out

Redox reactions include Single-replacement, synthesis, decomposition, composition Reactions. Hence option B is correct.

Redox reaction is type of reaction in which oxidation number participating molecules changes. Redox reaction involves two types of the reaction oxidation and reduction. these two reaction take place simultaneous. Oxidation is the loss of electrons and reduction is the gain of electrons.

Oxidation is nothing but addition of oxygen and loss of hydrogen and reduction is loss of oxygen and gain of hydrogen.

Redox reactions include Single-replacement, synthesis, decomposition, composition Reactions.

The oxidation half-reaction is: H₂ → 2H⁺ + 2e⁻

The reduction half-reaction is: F₂ + 2e⁻ → 2F⁻

Hence option B is correct.

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