the current in a resistor decreases by 2.89 a when the potential difference applied across the resistor decreases from 15.0 v to 12.00 v. calculate the resistance of the resistor.

The wavelength, the speed of sound and the water level of the next resonant length (the fifth harmonics) are as follows;

An harmonics are waves with a frequency that is an integer multiple of the fundamental frequency.

The given frequency of the sound wave, f = 330 hz

The first water level that gives the first loud sound, l₁ = 17.8 cm

The water level from the open end at the second loud sound, l₂ = 57.3 cm

First part;

The first harmonics that gives the fundamental frequency for the pipe is expressed as follows;

\(\dfrac{\lambda}{4} = l_1+e\)
Where;

e = The distance to the antinode of the wave above the top of the pipe

The third harmonics is given by the formula

\(\dfrac{3\cdot \lambda}{4} = l_2+e\)

\(\dfrac{3\cdot \lambda}{4}- \dfrac{\lambda}{4} = \dfrac{\lambda}{2} = (l_2+e) - (l_1+e) = l_2 - l_1\)

\(\dfrac{\lambda}{2} = l_2 - l_1\)

λ = 2 × (l₂ - l₁)

λ = 2 × (57.3 - 17.8) = 79

The wavelength of the wave, λ = 79 centimeters = 0.79 meters

Second part;

Speed of sound, v = f × λ

Therefore; v = 330 Hz × 0.79 m = 260.7 m/s

Third part;

\(\dfrac{\lambda}{4} = l_1+e\)

\(\dfrac{3\cdot \lambda}{4} = l_2+e\)

Which gives; 3·(l₁ + e) = l₂ + e

3·l₁ + 3·e = l₂ + e

3·e - e = l₂ - 3·l₁

2·e = l₂ - 3·l₁

Therefore, 2·e = 57.3 - 3 × 17.8 = 2.9

The water level for the next resonant length, which is the fifth harmonics, is given by the formula;

\(\dfrac{5\cdot \lambda}{4} = l_3+e\)

Which gives;

\(l_3 = \dfrac{5\cdot \lambda}{4} - e\)

Therefore;

\(l_3 = \dfrac{5\times 79 }{4} - 1.95 = 96.8\)

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-- The overall distance he travels is (100m + 30m + 70m) = 200 meters.

-- His displacement when he arrives at his front door is

D = (100m East) + (30m West) + (70m East)

D = (100m + 70m)East + (30m)West

D = (170m East) + (30m West)

D = 140 meters East

It's interesting to notice that his displacement is 60 meters shorter than the distance he walked.  

That's because there's a stretch of 30 meters somewhere in the middle that he actually covered three times.

Two of those times added to the distance his shoes covered (2x30m=60m), but they cancelled out of the displacement.

His front door is 140 meters East of school.  He walked 60m farther than that, going back and forth over the 30m piece.

The theoretical density of BCC chromium is , 2.48g/cm³

ρ = \(\frac{N * M }{N_{A} * a^{3} }\)

where

ρ  = density of unit cell

a = edge length of unit cell

M = Atomic mass

Z = no. of atoms in unit cell

\(N_{A}\) = Avogadro's number

(given)

Z = 2 (BCC)

M = 52.0 g/mol

atomic radius = 0.125 nm

edge length of unit cell is a

r = 0.866a (BCC unit cell)

a = 0.125nm/0.866 = 0.144×10⁻⁷cm

1nm = 10⁻⁷cm

using above values

ρ = 2× 52.0 / (6.022×10²³mol⁻¹ )×(0.144×10⁻⁷cm)³

ρ =   2.48g/cm³

The theoretical density of BCC chromium is , 2.48g/cm³

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Magnesium is a versatile mineral that has several uses in the human body as well as various industries. It plays a crucial role in maintaining optimal health and has numerous therapeutic uses. Magnesium is also used in the manufacturing of various products, making it a valuable mineral in the industrial sector.

It is the fourth most abundant mineral in the human body. Magnesium is present in various food sources like leafy vegetables, nuts, legumes, and whole grains. In this answer, we will discuss the various uses of magnesium.Magnesium is essential for the proper functioning of the body's muscles and nerves. It is involved in the process of muscle contraction and relaxation. Magnesium is also involved in the synthesis of ATP (adenosine triphosphate) which is the primary source of energy for the body. It helps in maintaining a healthy heart rhythm and normal blood pressure levels.Magnesium has several therapeutic uses as well. It is used in the treatment of various medical conditions like migraines, asthma, high blood pressure, and type 2 diabetes. Magnesium is used as a laxative to relieve constipation. It is also used in antacids as it helps in neutralizing the stomach acid.Magnesium is used in the manufacturing of various products like alloys, aluminum cans, and fireworks. It is also used in the production of fertilizers and animal feed. Magnesium is used in the metallurgical industry for the production of titanium, zirconium, and other metals. It is also used in the production of magnesium oxide which is used as a refractory material in furnaces and kilns.

Magnesium  is an essential mineral that plays a crucial role in the functioning of various body systems.

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Answer:

Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: Dry friction is a force that opposes the relative lateral motion of two solid surfaces in contact.

Coefficient of friction, ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together. It is usually symbolized by the Greek letter mu (μ). Mathematically, μ = F/N, where F is the frictional force and N is the normal force.

I expect that they will add, and their effect at every location will be the sum of their individual effects at that location.

For example:

If they're acting at the same point and in opposite directions, the effect will be the same as a single force at that point, with strength equal to their difference, and in the direction corresponding to whichever one is stronger.

Answer:

a. increase

Explanation:

Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.

Places, where particles of the medium spread farther apart, are called compressions.

Mechanical waves are classified as longitudinal waves and transverse waves. Some examples of longitudinal waves are sound waves, seismic P-waves, and ultrasound waves. Transverse waves examples include electromagnetic waves and ocean waves. In this article, we will learn what is a longitudinal wave and its characteristics. Longitudinal waves are waves where the displacement of the medium is in the same direction as the direction of the traveling wave. The distance between the centers of two consecutive regions of compression or the rarefaction is defined by wavelength, λ. When the compression and rarefaction regions of two waves coincide with each other, it is known as constructive interference and if the regions of compression and rarefaction do not coincide, it is known as destructive interference.

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(1) Our entire solar system orbits around the center of the Milky Way Galaxy about once every 230 million years.

(2) The milky way and andromeda galaxies are among a few dozen galaxies that make up our Local Group.

(3) The sun appears to rise and set in our sky because earth rotates once each day.

(4) You are one year older each time earth orbits about the sun.

(5) On average, galaxies are getting farther apart with time, which is why we say our universe is expanding.

(6) Our solar system is moving toward the star vega at about 70,000 km/hr.

Our entire solar system orbits around the center of the Milky Way Galaxy about once every 230 million years.

The milky way and andromeda galaxies are among a few dozen galaxies that make up our Local Group.

The sun appears to rise and set in our sky because earth rotates once each day.

You are one year older each time earth orbits about the sun.

On average, galaxies are getting farther apart with time, which is why we say our universe is expanding.

Our solar system is moving toward the star vega at about 70,000 km/hr.

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Answer:

b

Explanation:

Answer:i think its the 3rd one

Explanation:

Answer:

Static Electricity.

Explanation:

The rubbing of hair (object) onto the balloon creates a negative charge that is carried by electrons, the electrons will soon build higher to create static electricity, thus keeping it onto the ceiling.

Hope this helps!

To determine the mass of granite, we must first understand the definition of density. Density is defined as the amount of matter present in a substance per unit volume.

We use the formula: density = mass/volume to calculate the mass of a substance given its density and volume. To calculate the mass of 54.3 m³ of granite, we use the following steps:

Given Density of granite = 2700 kg/m³Given volume of granite = 54.3 m³Let us substitute the values in the formula of density:density = mass/volume Solving for mass, we get:mass = density × volume Substitute the given values of density and volume into the formula:mass = 2700 kg/m³ × 54.3 m³

The m³ unit in the volume cancels out, leaving us with kg as the unit for mass.

We then solve the equation to get the mass:mass = 146,610 kg

Therefore, the mass of 54.3 m³ of granite is 146,610 kg.

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Answer:

B. 122N

Explanation:

f = 0.15 x 83 x 9.8 = 122.01

f = 122N

Answer:

Yes. The area around you would be a bit red I think.

When you exert a force on the pedals while cycling, you convert chemical energy stored in your body into mechanical energy to propel the bike forward.

Despite exerting force, you obey the laws of conservation of energy because the total energy of the system remains constant. The chemical energy from your body is transferred to the pedals, which in turn transfers it to the bike's wheels through the chain. This mechanical energy is then used to overcome friction and air resistance, ultimately propelling the bike forward. While you are exerting a force, the energy is conserved by converting it from one form to another, rather than creating or destroying it. When you pedal a bike, you apply a force on the pedals to generate power. This force causes the pedals to rotate, which transfers the energy from your muscles to the bike's drivetrain. This energy is then converted from chemical energy (stored in your body) to mechanical energy (the movement of the bike). According to the law of conservation of energy, energy cannot be created or destroyed, only converted from one form to another. Therefore, the energy you exert on the pedals is not lost but transformed into other forms, such as kinetic energy to move the bike forward, potential energy due to elevation changes, or heat energy due to friction and air resistance. The total energy of the system (you and the bike) remains constant throughout this process.

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1.3 m/s is the average speed of runner. Option D is the correct answer.

The total distance covered by the runner in one lap is equal to the distance around the two semicircles plus the distance along the two parallel lines. The distance around one semicircle is πr = π(49 m) and since there are two semicircles, the total distance around the semicircles is 2π(49 m). The distance along each parallel line is 96 m, and since there are two parallel lines, the total distance along the parallel lines is 2(96 m). Therefore, the total distance covered by the runner in one lap is:

Total distance = 2π(49 m) + 2(96 m) = 2π(49 m + 48 m) = 2π(97 m)

The time taken by the runner to complete one lap is given as 100 seconds. Therefore, her average speed is:

Average speed = Total distance / Time taken = [2π(97 m)] / (100 s) = 1.93 m/s

Rounding to two significant figures, the average speed of the runner is 1.9 m/s, which corresponds to option (D) 1.3 m/s.

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Answer:

It is True that Humans are not the only animals that pollute the air.

True

Every animal exhales CO2, that's why they pollute the air too, except that it is much less than that of humans.

The direction of their (joint) velocity after the collision is to the northeast.

To solve this problem, we need to use the conservation of momentum principle.

In this case, the truck and car form a closed system, and we can use the following equation to solve for their joint velocity:

(m1 * v1) + (m2 * v2) = (m1 + m2) * v

where:

First, we need to break down the initial velocities of the truck and car into their x and y components.

For the truck:

vx1 = 0 m/s (moving north)

vy1 = 26.0 m/s (moving north)

For the car:

vx2 = 13.0 m/s (moving east)

vy2 = 0 m/s (not moving in the y-direction)

Next, we need to find the total x and y momentum of the system before the collision.

Px = m1 * vx1 + m2 * vx2

= (3520 kg) * 0 m/s + (1480 kg) * 13.0 m/s

= 19240 kg*m/s (to the right)

Py = m1 * vy1 + m2 * vy2

= (3520 kg) * 26.0 m/s + (1480 kg) * 0 m/s

= 91520 kg*m/s (moving north)

The total momentum of the system before the collision is therefore:

P = √(Px^2 + Py^2)

= √((19240 kgm/s)^2 + (91520 kgm/s)^2)

= 97397.59 kg*m/s

Now we can use the conservation of momentum principle to solve for the joint velocity of the truck and car after the collision:

(m1 * v1) + (m2 * v2) = (m1 + m2) * v

(3520 kg * 0 m/s) + (1480 kg * 13.0 m/s) + (3520 kg + 1480 kg) * v = 97397.59 kg*m/s

v = (3520 kg * 0 m/s + 1480 kg * 13.0 m/s) / (3520 kg + 1480 kg)

= 8.60 m/s (to the northeast)

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The crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

According to Newton's third law of motion, action and reaction are equal and opposite.

The car with rigid body will exert maximum force to the driver while the car with crumple zone will exert lesser force to the driver since the crumple zone will act as shock absorber, reducing the impact of the force on the driver.

Thus, the crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

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As the weight lifter raises her arm toward a horizontal position, the force in the biceps muscle will decrease.

To find the force exerted by the biceps muscle on the forearm, we'll apply the principle of torque equilibrium.

The torque due to the weight of the forearm-hand combination, the external weight, and the biceps muscle must balance.

The total weight of the forearm-hand combination is 0.065 * 75 kg = 4.875 kg.

The torque due to the forearm-hand combination and the external weight is (4.875 kg * 9.81 m/s^2 * 0.175 m + 7.50 kg * 9.81 m/s^2 * 0.380 m) * sin(40°).

To find the force exerted by the biceps muscle (F_biceps), we'll divide this torque by the distance of the biceps attachment (0.055 m) and find F_biceps ≈ 981.29 N.

The elbow joint must exert a force equal in magnitude but opposite in direction to the sum of the biceps force and the combined weight of the forearm-hand and external weight. This force is directed both upward and horizontally toward the body.

As the weight lifter raises her arm toward a horizontal position, the force in the biceps muscle will decrease. This is because the angle between the arm and the vertical force of the biceps muscle becomes smaller, leading to a smaller torque component.

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The strand of Christmas lights is an example of a series circuit in use. When the bulbs in this circuit are linked in series, the current passes through one bulb before going on to the next.

The circuit may be damaged if one of the bulbs burns out, making the entire string of lights inoperable. Because the entire voltage of the circuit is shared among the resistors in proportion to their resistance, the biggest resistor in a series circuit—or the one with the highest resistance—dissipates the most power. The larger resistor wastes the greatest power since it has the highest resistance and hence gets the largest portion of the voltage. Understanding this is crucial since it may be helpful.

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The increasing order of the maximum height reached by individual bodies is: Solid sphere, solid disk, hollow sphere, hoop, solid cylinder.

The height reached by an object rolling down a curved incline is determined by the amount of rotational kinetic energy the object has. This, in turn, is determined by the object's moment of inertia, which is a measure of its resistance to rotational motion.

The moment of inertia of a body depends on its shape, size, and the axis about which it is calculated. The moment of inertia of the given bodies are listed below:

A larger moment of inertia means that an object has a greater resistance to rotational motion and therefore a smaller amount of rotational kinetic energy. Thus, an object with a larger moment of inertia will reach a smaller height along the curved incline.

So, the objects can be ranked in the order of increasing moment of inertia, with the object having the smallest moment of inertia reaching the greatest height.

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Answer:

The balloon will continue to expand and eventually burst.

Explanation:

Simply, the reason for this is because the density of the atmosphere decreases gradually as you increase in altitude closer to space. This means that the air on the outside of the balloon can't provide enough pressure over the surface of the balloon in order to counteract the gas on the inside of the balloon from expanding.

The new acceleration would be 5.62162m/s²

Given - acceleration a=8m/s²

As per question force = F/3.7

and mass = m/2.6

To find :- new acceleration α°

Formula: F=ma

Calculation : F/3.7= [mα°]/2.6

Divide these 2 equations

2.6= 3.7(α°/a)

α°= 2.6 x 8 / 3.7

α°=5.62162m/s²

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Answer:

actually you can't find it without acceleration.

you need to use one of these three equations

1- Vf = Vi + at

2- 2ad = Vf^2 - Vi^2

3- d = Vit + 1/2 at^2

Answer:

400m

Explanation:

From Newton's law of motion;

S = ut + 1/2 at2

Where U is initial velocity

a is acceleration

t is velocity hence;

S is distance covered

S = 20×10 + 1/2 × 4×(10)^2

= 200 + 200 = 400m

Answer:

hola

Explanation:

Answer:

Graph 2

Explanation: