Your camping buddy has an idea for a light to go inside your tent. He happens to have a powerful (and heavy!) horseshoe magnet that he bought at a surplus store. This magnet creates B = 0.15 T field between two pole tips 10 cm apart. His idea is to build a hand-cranked generator shown in Figure. He thinks you can make enough current to fully light a R = 1.0 ? lightbulb rated at 4.0W. That's not super bright, but it should be plenty of light for routine activities in the tent.
Crank 1.0 ?/4.0 w bulb
A. Find an expression for the induced current as a function of time if you turn the crank at frequency f. Assume that the semicircle has a radius of r = 5.0 cm and it is at its highest point at t = 0 s. Express your answer in terms of some or all of the variables B, R, r, f, t, and the constant ?.
B. With what frequency will you have to turn the crank for the maximum current to fully light the bulb?
C. Is this feasible? (Yes or no)

If a rose with the genotype Yy is pale yellow in color, then there is not complete dominance for neither allele and it is a case of incomplete dominance. Nonetheless, since allele Y is for pale yellow and the hybrid has this phenotype, then it is partially dominant (pale yellow, Y, option 3).

Incomplete dominance is a genetic phenomenon in which one of the two alleles present for a given gene locus is expressed more strongly when compared to the other allele, which is called partially dominant and partially recessive alleles, respectively.

Conversely, complete dominance is due to the presence of an allele that completely masks the expression of the recessive allele in heterozygous hybrid individuals.

Therefore, with this data, we can see that incomplete dominance is associated with the expression of both alleles in the heterozygous hybrid individuals.

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The acceleration due to gravitational force on the moon and the Earth are different because the masses of the moon and the sun are different. Owing to the fact that gravity is a universal force, it is not possible to shield the gravitational field in a vacuum.

We know that there is a force that acts on any object that is found on the earth's surface. Now this force tends to act towards the center of the earth. We must realize that force is a vector and a such there must be the direction of a force at any given time that we are trying to observe the force.

We can then say that this force that acts on an object that has its direction as the center of the earth is what we call the gravitational force. This force does not only act on the earth but in the moon as well as act on other planets.

Having said this, let us bear in mind that the value of the acceleration due to gravity depends on the mass of the body. We know that the earth is larger than the moon hence the acceleration due to gravity is larger on the earth than on the moon.

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Answer:

18 m/s

Explanation:

Range of a projectile on level ground is:

R = v₀² sin(2θ) / g

14.3 m = v₀² sin(2×13°) / 9.8 m/s²

v₀ = 17.9 m/s

Rounded to two significant figures, the launch speed was 18 m/s.

If the bullet is launched at an angle of 50 degrees above ground level, the target will be struck. The angle remains the same. The launch angle obtained is 50 degrees.

Given:

The initial shot was fired at an angle of 50 degrees above ground.

The projectile's starting velocity (v) and magnitude of velocity will remain constant if it is shot at the same pace.

Let the angle of the projectile is x,

The horizontal component of velocity can be calculated as follows:

\(v(x) = v * cos(x)\)

We can write:

since the horizontal part of velocity remains constant:

\(v(x1) = v(x2)\)

\(cos(50) = cos(x)\)

\(50 = x\)

Therefore, if the projectile is launched at the same speed at a 50° angle above ground level, it will strike the target.

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The correct response is given when the angle is asked a question.

The statement "B. Gravity exists only on Earth" and the statement "E. Gravity doesn't exist between Earth and the sun"  is not true about gravity.

Gravity is a fundamental force of nature that exists in the whole universe, not just on Earth. It is a force that acts between any two objects that have mass. This means that statement "C. Gravity is a force that pulls two objects together" and "D. Gravity exists between two objects that have mass" are both true. Gravity plays a significant role in the functioning of our solar system. The sun's gravitational force acts on the planets, including Earth, keeping them in their orbits. Similarly, Earth's gravitational force attracts objects towards its center, giving weight to objects on its surface. Gravity is the force that holds Earth in orbit around the sun and is responsible for the planets' motion in the solar system. Gravity is a universal force that exists throughout the universe, acts between objects with mass, and plays a crucial role in celestial bodies' movements, including the interaction between Earth and the sun.

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Answer:

i pick all of the above (D by the way) because saving money is a good thing and children need to be athletic and fit to live a healthy life and reduces the case of delinquent in children in the communities is good to.

Explanation:

Answer:

mass =  0.5679 Kg

hope this helps!

A piece of copper at 100°C is transferred to a copper calorimeter with a liquid at 30°C. The final temperature is 50°C. By applying the principle of conservation of energy, the specific heat capacity of the liquid is calculated to be approximately 2100 J/kg/°C.

To calculate the specific heat capacity of the liquid, we can apply the principle of conservation of energy. The heat lost by the copper piece will be equal to the heat gained by the liquid and calorimeter.

The heat lost by the copper piece can be calculated using the formula:

Heat lost = Mass of copper × Specific heat capacity of copper × Temperature change

Given:

Mass of copper = 400 g

Specific heat capacity of copper = 390 J/kg/°C (assuming it remains constant)

Temperature change of copper = 100°C - 50°C = 50°C

Heat lost = 400 g × 390 J/kg/°C × 50°C

Heat lost = 7,800,000 J

The heat gained by the liquid and calorimeter can be calculated using the formula:

Heat gained = (Mass of liquid + Mass of calorimeter) × Specific heat capacity of liquid × Temperature change

Given:

Mass of liquid = 100 g

Mass of calorimeter = 10 g

Temperature change of liquid = 50°C - 30°C = 20°C

Heat gained = (100 g + 10 g) × Specific heat capacity of liquid × 20°C

Now, by equating the heat lost and heat gained:

7,800,000 J = (110 g) × Specific heat capacity of liquid × 20°C

Specific heat capacity of liquid = 7,800,000 J / (110 g × 20°C)

Specific heat capacity of liquid ≈ 3545.45 J/kg/°C

Therefore, the specific heat capacity of the liquid is approximately 3545.45 J/kg/°C.

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Answer:

The induced emf  is  \(\epsilon = 0.1041 \ V\)  

Explanation:

From the question we are told that

   The  radius of the circular loop is  \(r = 9.50 \ cm = 0.095 \ m\)

     The  intensity of the wave is  \(I = 0.0215 \ W/m^2\)

      The wavelength is  \(\lambda = 6.90\ m\)

Generally the intensity is mathematically represented as

         \(I = \frac{ c * B^2 }{ 2 * \mu_o }\)

Here  \(\mu_o\) is the permeability of free space with value  

         \(\mu_o = 4 \pi *10^{-7} N/A^2\)

B is the magnetic field which can be mathematically represented from the equation as

          \(B = \sqrt{ \frac{ 2 * \mu_o * I }{ c} }\)

substituting values

          \(B = \sqrt{ \frac{ 2 * 4\pi *10^{-7} * 0.0215 }{ 3.0*10^{8}} }\)

          \(B = 1.342 *10^{-8} \ T\)

The  area is mathematically represented as

       \(A = \pi r^2\)

substituting values

       \(A = 3.142 * (0.095)^2\)

       \(A = 0.0284\)

The angular velocity is mathematically represented as

        \(w = 2 * \pi * \frac{c}{\lambda }\)

substituting values          

       \(w = 2 * 3.142 * \frac{3.0*10^{8}}{ 6.90 }\)  

        \(w = 2.732 *10^{8} rad \ s^{-1}\)  

Generally the induced emf is mathematically represented as

        \(\epsilon = N * B * A * w * sin (wt )\)

At maximum induced emf  \(sin (wt) = 1\)

    So

         \(\epsilon = N * B * A * w\)

substituting values

         \(\epsilon = 1 * 1.342 *10^{-8} * 0.0284 *2.732 *10^{8}\)  

         \(\epsilon = 0.1041 \ V\)  

It takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then the distance traveled by the load is 3 m.

Output force is the force exerted on an object by a simple machine.

If the output force is greater than the input force, the mechanical advantage is greater than 1.

The mechanical advantage ratio is output force divided by input force. The larger the mechanical advantage, the easier it is to do work.

Mathematically, the output force of a simple machine is given as;

output force = load x distance moved by load

Thus, it takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then the distance traveled by the load is 3 m.

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Explanation:

The comparison of an unknown physical quantity with the known standard quantity is called measurement....

Here are some tho.....

A speedometer or speed meter is a gauge that measures and displays the instantaneous speed of a vehicle. Now universally fitted to motor vehicles, they started to be available as options in the early 20th century, and as standard equipment from about 1910 onwards.

Speed gauge is a very useful device that can be used to measure the value of developersity of different objects it is used in roads by the police to measure the velocity of the incoming cars.

Fluid dynamics, Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure .

In the given data when we move the speed cost to different places in the pipe we find that the velocity of the water in different areas is different due to the variation in the cross section area of the pipe.

Velocity variation can be explained using the Bernoulli's principles of conservation of pressure energy and kinetic energy.

With the help of these with gorge we have seen that the pressure is increasing in the areas where the velocity is decreasing and where the velocity increases the pressure in the pipe is also decreasing.

Therefore it can be concluded from this that the speedometer application is in sink with the Bernoulli's principle and the additional variation with the actual value we will be expecting from the equations.

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Taking half of the given length and pulling it to a length of 2L as before, the frequency obtained by vibrating in the basic method is 6fo. option(ii)

When a bow vibrates in its fundamental mode with a length of 2L, the frequency is denoted as f. Now, let's consider the scenario where half of the given length (L) is pulled to a length of 2L.

In the fundamental mode of vibration, the frequency is inversely proportional to the length of the vibrating object. Therefore, if the length of the bow is halved to L, the frequency would double to 2f.

When this new length of L is pulled to a length of 2L, we need to determine the frequency obtained in the fundamental mode.

Since the frequency is inversely proportional to the length, we can use the inverse relationship to find the new frequency.

If the original frequency was 2f at length 2L, when the length is reduced to L, the new frequency would be (2f)/(2L) = f/L.

Now, if this length of L is stretched to 2L again, the new frequency in the fundamental mode would be (f/L) * (2L) = 2f. option(ii)

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Answer:27

Explanation:

If a roller coaster rider traveling in a straight line changes from a speed of 4 m/s to 16 m/s in 3 seconds, then the acceleration of the rider would be 4 m / s² , therefore the correct answer is option D.

There are three equations of motion given by  Newton,

v = u + at

S = ut + 1/2 × a × t²

v² - u² = 2 × a × s

As given in the problem, A roller coaster rider traveling in a straight line changes from a speed of 4 m/s to 16 m/s in 3 seconds.

By using the first equation of the motion,

v = u + at

16 = 4 + 3a

a = 16 -4 / 3

  = 12 / 3

  =  4 m / s²

Thus, the acceleration of the rider would be 4 m / s².

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Answer: 30 cm.

The situation described is that of two sources of sound waves that are separated by some distance. The two waves interfere with each other constructively at some points and destructively at others. When they interfere constructively, the amplitude (and intensity) of the sound wave is greater than when they interfere destructively.

When the speakers are 40 cm apart, the waves that they produce are in phase at some points on the axis, leading to constructive interference and a maximum in the intensity of the sound. As the distance between the speakers is increased beyond 40 cm, the points of constructive interference move farther apart, and the intensity of the sound decreases. When the speakers are 50 cm apart, the waves that they produce are exactly out of phase at some points on the axis, leading to complete destructive interference and a minimum in the intensity of the sound.

If the separation between the speakers continues to increase, the points of constructive interference will move closer together again, and the intensity of the sound will increase. The separation between the speakers at which the intensity of the sound will again be a maximum can be found using the following equation:

d = λ/2 + nλ

where d is the separation between the speakers, λ is the wavelength of the sound wave, and n is an integer that represents the number of half-wavelengths between the speakers.

At the maximum, the separation is an even multiple of half the wavelength, so we can use the formula above with n = 1. The wavelength can be found from the distance between the speakers at the minimum, which is 50 cm, and the distance at the maximum, which is 40 cm:

λ = 2(d_max - d_min) = 20 cm

Substituting λ and n into the formula gives:

d = λ/2 + nλ = 10 cm + 20 cm = 30 cm

Therefore, the sound intensity will be a maximum again when the separation between the speakers is 30 cm.

Answer:

The characteristics that determine how easily two substances change temperature are:

The volume and density of the substances and the amount of time they are in contact do not directly affect how easily they change temperature.

Explanation:

It takes 5.0 s for a wave to travel 3.0 m along the spring.

The time it takes for a wave to travel 3.0 m along the spring is 5.0 s. This can be calculated by dividing the distance (3.0 m) by the wave speed, which is equal to the frequency (2.5 Hz) multiplied by the distance between successive peaks (0.60 m).

3.0 m / (2.5 Hz x 0.60 m) = 5.0 s

What is frequency?

Frequency is a measure of the number of times a particular event or phenomenon occurs within a given period of time. It is usually expressed as an oscillations per second (Hertz). Frequency is an important measure in many fields, including physics, engineering, electronics, and music.

Therefore, It takes 5.0 s for a wave to travel 3.0 m along the spring.

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Answer:

a) DOWN direction,  b)  directed INTO THE SCREEN, c)    F = 0

Explanation:

The direction of the force is

for electric force

           F = q E

where we assume a positive test charge, for which the force has the direction of the electric field.

For a magnetic field

in this case the direction of the force is given by the right hand rule.

For a positive test charge, the thumb points in the direction of velocity, the other fingers extended in the direction of the magnetic field, and the palm gives the direction of force for a positive charge.

           F = q v x B

Let us apply these considerations to our case.

a) negative charge moving to the left

in a magnetic field points away from the screen

In this case the thumb goes to the left, the fingers extended outwards and the palm points upwards, but since the charge is negative the force has a DOWN direction.

b) negative charge moves to the left

in electric field it points off the screen.

The outside is in the direction of the electric field and since the charge is negative, the force is directed INTO THE SCREEN

c) positive charge moves down

in magnetic field points up

in this case the velocity and the field have the same direction so the vector product of them is zero

       F = q v  B sin 0

       F = 0

Time of flight = 1.6 s

Horizontal distance = 64 m

Projectile motion is the form of motion experienced by an object or particle projected into a gravitational field, such as from the surface of the Earth, and moves along a curvilinear path only under the action of gravity.

For the given case,

h = vt + ¹/₂gt²

h = height of tower

v = initial velocity

t = time of flight

55 = 50sin30t + ¹/₂9.8t²

55 = 25t + 4.9t²

4.9t² + 25t - 55 = 0

t = 1.6 s

X = vₓt

X = horizontal distance

vₓ = horizontal velocity

t = time of flight

X =  (50 x cos30) x 1.6

X =  64 m

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The period of oscillation of the sphere is 161 seconds.

What is oscillation?

Oscillation is the repetitive movement of a particle or system about a central position or equilibrium point. Oscillations can occur in a variety of forms, such as periodic oscillations (which repeat at regular intervals), damped oscillations (which gradually decrease in amplitude over time), and driven oscillations (which are driven by an external force).

To find the period of oscillation of the sphere, you need to know its angular frequency, which is given by the following formula:

angular frequency = sqrt(k / I)

where k is the angular spring constant (also known as the torsional spring constant), and I is the moment of inertia of the sphere.

The angular spring constant is given by the following formula:

k = torque / angle of twist

Plugging in the values from the problem, you get:

k = 0.20Nm / 0.85rad = 0.235Nm/rad

The moment of inertia of a solid sphere is given by the following formula:

I = (2/5) * mass * radius^2

Plugging in the values from the problem, you get:

I = (2/5) * 95kg * (15cm)^2 = 6750kg*cm^2

Plugging these values into the formula for angular frequency, you get:

angular frequency = sqrt(0.235Nm/rad / 6750kg*cm^2) = 0.0062rad/s

The period of oscillation is the reciprocal of the angular frequency, so you can calculate it using the following formula:

period = 1 / angular frequency

Plugging in the value for angular frequency that you calculated above, you get:

period = 1 / 0.0062rad/s = 161s

Therefore, the period of oscillation is 161 seconds.

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At the dew point, air can no longer absorb water vapor. When air cools above its dew point, water vapor becomes a liquid. This is a physical process known as condensation.

While you breathe out (exhale), your lungs put carbon dioxide again into the air. but, the breath you exhale doesn't only contain carbon dioxide. It additionally includes moisture from your mouth and lungs. This moisture is inside the form of water vapor, the gasoline shape of water.

While you exhale on a chilly day, the air that goes out is saturated and the temperature of the air you exhale is warmer than the encompassing air.

The water vapor to your breath condenses into many tiny droplets of liquid water and ice that you could see within the air as a cloud. It seems pretty similar to fog.

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Answer:

identify who they are as a person

Explanation:

Answer:

a camera employs camera lens to firm some images.

Explanation:

hope this helps.

The acceleration of the falling object with a mass of 2.55 kg that encounters 4.0 N of air resistance is 1.57m/s².

Acceleration is change of velocity with respect to time (can include deceleration or changing direction).

The acceleration of a body can be calculated by using the following expression;

a = F/m

Where;

According to this question, a mass of 2.55 kg encounters 4.0 N of air resistance. The acceleration of the object can be calculated as follows:

a = 4N ÷ 2.55kg

a = 1.57m/s²

Therefore, 1.57m/s² is the acceleration of the object.

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Answer:

A closed loop that electrons can travel in.

Explanation:

part a.

The source angular frequency is 2.23 rad/s.

part b.

The resistance of the resistor is 4.46 Ω.

The source angular frequency is given as:

ω = 1/√(LC)

where = is the inductance,

C =  capacitance,

ω= angular frequency.

Substituting the  values, we have:

ω = 1/√(20.0 mH x 10.0 mF) = 1/√(0.2) = 1/0.447 = 2.23 rad/s

part b.

We use the impedance in a parallel RLC circuit:

Z = R/(1 - ω^2LC)

impedance of the inductor branch is given as:

Z = jωL

impedance of the capacitor branch :

Z = -j/(ωC)

impedance of the resistor branch :

Z = R

We set all the impedances together at:

jωL = -j/(ωC) = R

We now solve for

R = ωL/ωC

R = = (2.23 rad/s)(20.0 mH)/(10.0 mF)(2.23 rad/s)

R = 4.46 Ω

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Answer:

h = 618.64 m

Explanation:

First we need to calculate the height gained by rocket while the fuel is burning. We use 2nd equation of motion for that purpose:

h₁ = Vit + (1/2)at²

where,

h₁ = height gained during the burning of fuel

Vi = Initial Velocity = 0 m/s

t = time = 7 s

a = acceleration = 8 m/s²

Therefore,

h₁ = (0 m/s)(7 s) + (1/2)(8 m/s²)(7 s)²

h₁ = 196 m

Now we use 1st equation of motion to find final speed Vf:

Vf = Vi + at

Vf = 0 m/s + (8 m/s²)(7 s)

Vf =  56 m/s

Now, we calculate height covered in free fall motion. Using 3rd equation of motion:

2ah₂ = Vf² - Vi²

where,

a = - 3.71 m/s²

h₂ = height gained during free fall motion = ?

Vf = Final Velocity = 0 m/s (since, rocket will stop at highest point)

Vi = 56 m/s

Therefore,

(2)(-3.71 m/s²)h₂ = (0 m/s)² - (56 m/s)²

h₂ = 422.64 m

So the total height gained will be:

h = h₁ + h₂

h = 196 m + 422.64 m

h = 618.64 m

Answer:

A terrestrial planet, telluric planet, or rocky planet is a planet that is composed primarily of silicate rocks or metals. Within the Solar System, the terrestrial planets are the inner planets closest to the Sun

The concept of time in space can be different from time on Earth due to the effects of time dilation. Time dilation occurs due to differences in gravitational fields and relative motion.

If we consider an astronaut who is in a relatively low-gravity environment and not traveling at a significant fraction of the speed of light, the time experienced by the astronaut in space would be very similar to the time experienced on Earth. In this scenario, one hour in space would be approximately the same as one hour on Earth.

However, if we consider extreme cases, such as an astronaut near a black hole or traveling at near-light speeds, time dilation effects would become significant. In these situations, the time experienced by the astronaut would be different from the time on Earth.

It's important to note that the magnitude of time dilation effects depend on the specific conditions and relative velocities involved. For most common space travel scenarios, the difference in time between space and Earth is negligible, and one hour in space would correspond to one hour on Earth.

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