Unit lestCurrent X is 25A and runs for 39 seconds. Current Y is 3.8A and runs for 24 seconds.Which current delivered more charge, and how much more charge did it deliver?

Answer:

The first one is the right answer

Explanation:

This is because a period is only completed when there is the completion of only one oscillation

Answer:

= weather

Explanation:

Answer:

Answer 1: 8

Answer 2: Protons and Valence Electrons

Answer 3: Hydrogen

Answer 4: When atoms have fewer than eight electrons, they tend to react and form more stable compounds.

Explanation:

.Atoms lose, gain, or share electrons to have a full valence shell of eight electrons. Hydrogen although is an exeption exception because it can hold a maximum of two electrons in its valence level. They may react and form more stable compounds.

The property that is oscillating would be the electric and magnetic fields.

For light, the property that is oscillating or vibrating at a particular frequency is the electric and magnetic fields.

Light is an electromagnetic wave, which means that it consists of oscillating electric and magnetic fields that are perpendicular to each other and to the direction of wave propagation.

The frequency of the wave corresponds to the number of complete oscillations of the electric and magnetic fields that occur per second, and is measured in hertz (Hz).

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The potential energy is at the maximum when you reach the top of your jump on a trampoline. The correct answer is option B.

Potential Energy is the type of energy an object possesses by virtue of its position relative to others, stresses within itself, electric charge, and other factors. Potential energy exists in various forms, including gravitational potential energy, elastic potential energy, chemical potential energy, and electrical potential energy.

This type of energy can be converted into another type of energies. Examples, a charged battery has potential energy and it can be used as electrical potential energy. Petrol, diesel and and gas have chemical potential energy and be used as kinetic energy.

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The potential difference across the each bulb and the current entering each bulb.

Each bulb in a straightforward parallel circuit receives the entire battery power. This is explains why the parallel circuit's lights will shine stronger than the series circuit's. The parallel circuit also has the benefit of maintaining an electricity even if one loop is disconnected.

The same brightness is produced when two identical bulbs are linked in parallel as it is when they are connected in a series, which is why.

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The minimum area for a pool and deck built as in the application such that the pool's area is 1800 square meters is \(1400 \mathrm{~m}^2\)

Let ' l ' be the length of the pool and ' b ' be the breadth of the pool.

\($\Rightarrow l \times b=1800$\)

This gives:

Length of Total area (deck and pool)

\($=(l+5+5) \mathrm{m}$\)

Breadth of Total area (deck and pool )

\(=(b+10+10) m$\)

Area of Total space (deck and pool)

\($=(l+10)(b+20)$\)

Area:

\($=(l+10)\left(\frac{1800}{l}+20\right)$\)

\(A(l)=1800+20 l+\frac{18000}{l}+200$\)

Our aim is to minimize A(l), for this put \(A^{\prime}(l)=0$\)

\(\Rightarrow 20-\frac{18000}{l^2}=0\\ \Rightarrow \frac{1800 \phi}{l^2}=2 x \\\Rightarrow l^2=900$\\$\Rightarrow l=\pm 30$.\)

But length can not be negative

\(\Rightarrow l=30 \mathrm{~m} \\\Rightarrow b=\frac{1800}{300}=60$ m\)

Now:

\(A^{\prime \prime}(l)=-\frac{18000}{l^3} \times\left(-2 l^{-3}\right)=\frac{36000}{l^{\prime \prime}}$\\$\Rightarrow A^{\prime \prime}(t=30)=\frac{36000}{(30)^3} > 0$\)

Therefore  \(A(l)$\) is minimum for l=30 m.

Hence minimum area:

\(=A(l=30)=(30+10)(60+20) \mathrm{m}$\\\\=40 \times 80 \mathrm{~m}^2$\\\\=3200 \mathrm{~m}^2$$\)

And minimum area of deck:

\(=(3200-1800) \mathrm{m}^2 \\& =1400 \mathrm{~m}^2\end{aligned}$$\)

Therefore the minimum area of deck is \(1400 \mathrm{~m}^2\)

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Answer: 44.57°C

Explanation:

The following can be deduced from the question:

Specific heat of water = 4.186 J/kg

From the question, we can infer that 625 × 4.186 joules of heat will be lost when there's a 1°C drop of water.

We then calculate the amount if degrees that it'll take to cool for 7.96 x 10⁴J. This will be:

= 7.96 × 10⁴ /(625 × 4.186)

= 79600/(625 x 4.186)

= 79600/2616.25

= 30.43°C

The final temperature will then be:

= 75.0°C - 30.43°C

= 44.57°C

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 car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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a) The thermal energy in Joules, W¹ = 45000 Joules

The thermal energy in kWh, W¹ = 0.0125 kWh

b) The electrical energy consumed by this conductor for the same duration = 0.0125 kWh

c) The thermal power = 25 Watts

d) The electrical energy, W² = 180 kJ

The resistance of the ohmic conductor, R = 100Ω

The time taken, t = 30 min

t = 30 x 60 seconds

t = 1800 seconds

The current, I = 0.50 A

a) The thermal energy, W¹ dissipated in the conductor is claculated as:

W¹ = I² x R x t

Substitute I = 0.50, t = 1800, R = 100 into the formula above

W¹ = 0.50² x 100 x 1800

W¹ = 45000 Joules

W¹ = 45 kJ

W¹ = 0.0125 kWh

b) The electrical energy consumed by the conductor for the same duration

According to the principle of energy conservation

The electrical energy consumed by the conductor = Thermal energy dissipated in the conductor

Therefore:

The electrical energy consumed by this conductor for the same duration = 0.0125 kWh

c) The value of the thermal power dissipated in this conductor

The thermal power = The thermal energy / Time

The thermal power = 45000/1800

The thermal power = 25 Watts

d) The electrical energy W², consumed by this conductor, for a period of 30 min, if the value of the intensity I is doubled

If the current intensity is doubled, I = 2(0.50)

I = 1 A

The resistance, R = 100 Ω

The time, t = 30 min = 30 x 60 seconds

t = 1800 seconds

W² = I² x R x t

W² = 1² x 100 x 1800

W² = 1 x 100 x 1800

W² = 180000 Joules

The electrical energy if the value of the intensity is doubled, W² = 180 kJ

The weight of the rover vehicle on Earth, given that it weighs 37 N on Mars is 99.5 N

We'll begin by obtaining the mass of the rover vehicle. This is shown below:

Weight (W) = mass (m) × Acceleration due to gravity (g)

W = mg

Divide both sides by g

m = W /g

m = 37 / 3.72

m = 9.95 Kg

Now, we shall determin the weight of the rover vehicle on Earth. Details below:

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 9.95 × 10

Weight = 99.5 N

Thus, we can conclude that the weight on Erath is 99.5 N

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Half maximum velocity occurs at the point of half maximum kinetic energy which is exactly halfway down.

The principle of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.

M.A = K.E + P.E

At the maximum height, the kinetic energy of the ball while potential energy is maximum.

At the half-way down, the ball kinetic energy of the ball is equal to the potential energy.

Thus, half maximum velocity occurs at the point of half maximum kinetic energy which is exactly halfway down.

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Over the time period from t₁ to just before t₃, the two-block-spring system is linear momentum does not change because there are no external forces acting on the system to change its momentum.

Explain why the linear momentum of the two-block–spring system is either constant or not during the time period between t₁ and the time just before t₃?

The linear momentum of the two-block-spring system remains constant from t₁ until just before t₃.

Prior to the collision at time t₂, block A has a momentum to the right that is Pa = ma ×va, whereas block B has a momentum that is Pb = 0 because it is at rest. Because there is no external force acting on the system, its overall momentum is conserved.

All out Ptotal = Dad + Pb = mama × va

Expect there is immaterial erosion between each block and the surface. Take into consideration the spring, block A, and the system for parts (a) to (d).

Following the collision at time t₂, block B experiences a velocity of vb to the right and comes to a stop. Because the collision is elastic, all of the system's kinetic energy is conserved, but momentum is still conserved:

The two-block system is moving to the right at a constant velocity vb from time t₂ to just before time t₃, so the momentum of the system is constant. Ptotal = ma₀ plus mbvb plus mb ×vb

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The moment of inertia (I) will changes and net torque (Tnet) will also change, while the angular acceleration (a) remains constant.

The formula for net torque acting on an object is given as;

T(net) = Ia

where;

The  moment of inertia of an object is given as;

I ∝ MR²

where;

So mass, M changes, the moment of inertia (I) changes and net torque will also change, while the angular acceleration remains constant.

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Answer:

Q = N * e       excess charge due to N electrons

N = Q / e = 4.3E-6 C / 1.6E-19  C = 2.69^13 electrons

Answer:  1. The function of a lightning rod is to protect buildings, structures, and people from lightning strikes by providing a path of least resistance for the electrical current to follow, directing it safely into the ground instead of through the structure or people.

2. Charge build-up is reduced on airplanes through various methods, such as using conductive materials in the airplane's structure, applying anti-static coatings on the airplane's surface, and installing static discharge wicks or similar devices on the airplane's trailing edges, which provide a way for any accumulated charge to safely dissipate into the air.

3. A ground strap is a necessary safety feature when transferring fuel because it provides an electrical connection between the fuel container and the receiving container, allowing any static charge to safely dissipate into the ground. Without a ground strap, the static charge could build up and potentially ignite the fuel.

4. Three different methods for reducing charge build-up in clothes dryers are: (1) using dryer sheets or fabric softeners, which can help neutralize static charges on the clothes, (2) adding a damp cloth to the dryer, which can help dissipate static charges, and (3) using metal dryer balls, which can physically separate clothes and prevent them from rubbing against each other and creating static charges.

5. Four different methods for reducing charge build-up in a computer room with a carpet are: (1) using conductive flooring or carpet tiles that can help dissipate static charges, (2) using anti-static mats or wrist straps for personnel who work in the room, (3) using air ionizers or humidifiers, which can help neutralize static charges in the air, and (4) grounding all equipment and devices in the room to prevent the buildup of static charges.

Explanation:

I hope this helps!

Vector C = 15/4x - 13y

A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction. The direction of the vector is from its tail to its head.

Two examples of vectors are those that represent force and velocity. Both force and velocity are in a particular direction. The magnitude of the vector would indicate the strength of the force or the speed associated with the velocity.

From the question;

Vector A = 3x + 5y

Vector B = -3x + 6y

2A + 7B + 4C = 0

Substituting the vectors A and B

2(3x + 5y) + 7(-3x + 6y) + 4C = 0

6x +10y - 21x + 42y +4C = 0

Taking like terms

-15x +52y + 4C = 0

4C = 15x - 52y

Dividing both sides by 4

Vector C = 15/4x - 13y

In conclusion, our Vector C is derived by substituting in the equation given.

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The speed of the cars as they stuck together is 16 m/s.

We know that the momentum after the Collison must be equal to the total momentum before the Collison and thus is what we call the principle of the conservation of linear momentum and that is what we are going to apply here so that it can help us to solve this problem at hand here.

Given that;

Momentum before Collison= Momentum after Collison

Then we have;

( 15,000 kg * 32.0 m/s) + (15,000 kg * 0 m/s) = (15,000 kg + 15,000 kg)v

v = ( 15,000 kg * 32.0 m/s) / (15,000 kg + 15,000 kg)

v = 16 m/s

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The perpendicular force exerted by the incline on the car is Fw cosθ.

Normal reaction force is defined as a contact force that is exerted by the surface on an object which is in contact with it. It prevents the object from passing through the surface.

Here,

Weight of the car is Fw

The incline makes an angle θ with the horizontal.

From the figure,

The perpendicular force exerted by the incline, N = Fw cosθ

Hence,

The perpendicular force exerted by the incline on the car is Fw cosθ.

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The exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

To determine the values of the resistors, we can use Ohm's Law:

Voltage (V) = Current (I) × Resistance (R)

Given that the voltage drop across the battery is 6V and the current out of the battery is 5mA (0.005A), we can calculate the total resistance:

Total Resistance (R_total) = Voltage (V) / Current (I)

R_total = 6V / 0.005A

R_total = 1200 Ω

Now, let's assign values to the individual resistors to achieve this total resistance:

R1 = 220 Ω

R2 = 470 Ω

R3 = 330 Ω

R4 = 680 Ω

R5 = 820 Ω

R6 = 350 Ω

With these values, the total resistance of the circuit would be:

R_total = R1 + (R2 || R3) + (R4 || R5) + R6

R_total = 220 Ω + (470 Ω || 330 Ω) + (680 Ω || 820 Ω) + 350 Ω

R_total ≈ 220 Ω + 214.8 Ω + 351.5 Ω + 350 Ω

R_total ≈ 1136.3 Ω

The slight deviation from the exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

Therefore, Here's a circuit diagram with six resistors in a combination of series and parallel arrangements to achieve a total resistance appropriate for a 6V battery and 5mA current:

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Answer: the radius of the circular path is approximately 1637.58 meters.

Explanation:

The centripetal force acting on the airplane is provided by the component of the gravitational force that acts towards the center of the circular path. This component is given by:

F_c = m * g * tan(banking angle)

Where:

F_c is the centripetal force

m is the mass of the airplane

g is the acceleration due to gravity

tan(banking angle) is the tangent of the banking angle

Now, the centripetal force is also given by the formula:

F_c = (m * v^2) / r

Where:

v is the speed of the airplane

r is the radius of the circular path

Equating the two expressions for F_c, we get:

(m * g * tan(banking angle)) = (m * v^2) / r

Canceling out the mass (m) on both sides of the equation, we have:

g * tan(banking angle) = v^2 / r

Solving for r, we get:

r = (v^2) / (g * tan(banking angle))

Substituting the given values:

v = 400 km/h = 400,000 m/h

g = 9.8 m/s^2

banking angle = 20°

Converting the speed to m/s:

v = 400,000 m/h * (1/3600) h/s = 111.11 m/s

Converting the banking angle to radians:

banking angle = 20° * (π/180) rad/° = 0.3491 rad

Now, substituting the values into the formula:

r = (111.11^2) / (9.8 * tan(0.3491))

r ≈ 1637.58 meters

Therefore, the radius of the circular path is approximately 1637.58 meters.

Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.

Frequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).

Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.

Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.

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Answer:

Explanation: The correct equation for Newton's second law in the horizontal direction for the block-spring system when it is displaced a distance x from the equilibrium position is:

m(d^2x/dt^2) + kx = 0

where m is the mass of the block, k is the spring constant, and x is the displacement from the equilibrium position. This equation represents the balance of forces acting on the block-spring system, with the restoring force of the spring (proportional to x) opposing the force required to accelerate the mass (proportional to d^2x/dt^2).

Answer:

Explanation:

d

A rock, a book and a can of soda all have the same mass. They each contain the same amount of matter.

Hence, the correct option is D.

Since the rock, book, and can of soda all have the same mass, it means that they contain the same amount of matter, regardless of their size or the material they are made of.

Mass is a measure of the amount of matter in an object, so if their masses are equal, it implies that the quantity of matter is the same in each of them.

The size, shape, and material composition can be different for each object, but their masses remain the same in this scenario.

Hence, A rock, a book and a can of soda all have the same mass. They each contain the same amount of matter.

Hence, the correct option is D.

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Given:

Car P and Q are travelling toward each other.

The speed of P is,

Acceleration of car P is,

The speed of Q is,

The cars meet after 5 s.

Acceleration of car Q is,

To find:

The graph of V-T of the cars

Explanation:

The slope of v-T graph shows the acceleration of the object.

AS the cars both have acceleration, the speed vs time graph will be a straight line with positive slopes.

The speed of P in 5 s is,

The speed of Q after 5 s,

The graphs will not intersect each other after 5 s.

Hence, the third one is the correct graph.

The bus resultant displacement is approximately 4.14 km at an angle of 59.5 degrees north of east.

The first movement is 2 km due east, which means it has an x-component of 2 km and a y-component of 0 km.

The second movement is 5 km at 45 degrees north of east. This can be broken down into x and y components using trigonometry: x = 5 km * cos(45) = 3.54 km y = 5 km * sin(45) = 3.54 km

The third movement is 4 km at 30 degrees north of west. This can also be broken down into x and y components using trigonometry: x = -4 km * cos(30) = -3.46 km (negative because it’s towards the west) y = 4 km * sin(30) = 2 km

The fourth movement is 2 km due south, which means it has an x-component of 0 km and a y-component of -2 km.

Adding up all the x and y components, we get: x_total = 2 + 3.54 + (-3.46) + 0 = 2.08 km y_total = 0 + 3.54 + 2 + (-2) = 3.54 km

The magnitude of the resultant displacement can be calculated using the Pythagorean theorem: resultant_displacement = sqrt(x_total^2 + y_total^2) = sqrt(2.08^2 + 3.54^2) ≈ 4.14 km

The direction of the resultant displacement can be calculated using the arctan function: direction = arctan(y_total / x_total) ≈ 59.5 degrees north of east

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Answer:

Check pdf

Explanation:

The skater's final angular velocity is approximately 9.86 rad/s.

The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:

L = Iω

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

Initially, the skater has an angular momentum of:

L_initial = I_initial * ω_initial

Substituting the given values:

L_initial = 2.12 kg m² * 3.25 rad/s

The skater's final angular momentum remains the same, as angular momentum is conserved:

L_final = L_initial

The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:

L_final = I_final * ω_final

0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s

Solving for ω_final:

ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²

Hence, the skater's final angular velocity is approximately 9.86 rad/s.

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