Two jets leave denver at 9:00 am, one flying east at a speed 50 km/hr faster than the other, which is traveling west. at 11:00 am, the planes are 2500 km apart. find their speeds

In a series-parallel circuit, the total power is equal to the sum of the individual resistor power values.

In a series-parallel circuit, the total power is equal to the sum of the individual resistor power values. To calculate the total power, follow these steps:

1. Determine the total resistance of the circuit by combining series and parallel resistances.
2. Calculate the total current using Ohm's Law (I = V/R), where V is the voltage and R is the total resistance.
3. Calculate the power across each resistor using the formula P = I^2 * R, where I is the current through the resistor and R is the resistor's resistance.
4. Sum up the power values for each resistor to find the total power in the circuit.

To know more about Ohm's Law:

https://brainly.com/question/1247379

#SPJ11

Answer:

KE = 1/2 M v^2      initial KE

Wf = μ M g S       work done by friction in stopping puck

1/2 v^2 = μ g S

S = v^2 / (2 μ g) = 6^2 / (2 * .2 * 9.8) = 9.2 m

(C) is correct

The index of refraction of the liquid can be calculated using the formula: sin(critical angle) = (index of refraction of liquid) / (index of refraction of air). Therefore, the index of refraction of the liquid is 1.333. To find the index of refraction of the liquid, we can use Snell's Law and the concept of the critical angle.

Step 1: Recall Snell's Law
Snell's Law states that n1 * sin(θ1) = n2 * sin(θ2), where n1 and n2 are the indices of refraction, and θ1 and θ2 are the angles of incidence and refraction, respectively.
Step 2: Consider the critical angle
At the critical angle, θ1 = 54.6 degrees and θ2 = 90 degrees (because the refracted light travels along the liquid-air interface).
Step 3: Apply Snell's Law with the given values
We are given that the index of refraction of air (n2) is 1.00029. Using Snell's Law, we can write the equation as follows:
n1 * sin(54.6) = 1.00029 * sin(90)
Step 4: Solve for the index of refraction of the liquid (n1)
We can now solve for n1:
n1 = (1.00029 * sin(90)) / sin(54.6)
By calculating the values:
n1 ≈ 1.00029 * 1 / 0.80998
n1 ≈ 1.235
The index of refraction of the liquid is approximately 1.235.

To know more about Snell's Law click here:

brainly.com/question/1278278

#SPJ11

To calculate the total mass of the hawk population in the habitat, we need more information such as the number of hawks present in the habitat and their average mass. Without this information, it is impossible to accurately calculate the total mass of the hawk population. To calculate the total mass of the hawk population in the habitat, we need to use the concept of the ecological pyramid, specifically the biomass pyramid. In this pyramid, energy and mass decrease as you move up through the trophic levels, which are the positions in a food chain. Answer: The total mass of the hawk population in the habitat is 80 kg.

Step 1: Identify the trophic levels
- Grass represents the producers (first trophic level)
- Assume there is a primary consumer, such as a herbivore (second trophic level)
- Hawk represents the secondary consumer (third trophic level)
Step 2: Understand the energy transfer between trophic levels
Generally, only about 10% of the energy (and thus, mass) is transferred from one trophic level to the next.
Step 3: Calculate the mass at each trophic level
- First trophic level (producers): 8000 kg of grass
- Second trophic level (primary consumers): 10% of 8000 kg = 800 kg
- Third trophic level (secondary consumers - hawks): 10% of 800 kg = 80 kg

To know more about ecological paramid click here:

brainly.com/question/18186964

#SPJ11

The acceleration of the crate is 4 m/s²

To find the acceleration of the crate, we can use Newton's second law of motion,

Force (F) = mass (m) × acceleration (a).

In this case, we have an applied force of 300 N and a frictional force of 100 N acting against it.

The net force (F_net) will be the difference between the applied force and frictional force:

F_net = 300 N - 100 N = 200 N.

Now, we can use Newton's second law:

F_net = m × a
200 N = 50 kg × a

To solve for acceleration (a), divide both sides by the mass (50 kg):

a = 200 N / 50 kg
a = 4 m/s²

So, the acceleration of the crate is 4 m/s².

Know more about Newton's second law here :

https://brainly.com/question/25545050

#SPJ11

The formula for torque is T = F x r, where T is torque, F is force, and r is radius.  Therefore, the answer is C. 6,000 N-m.

The torque around the center of the wheel can be calculated using the formula:

Torque = Force x Radius

where Force is the force applied to the wheel, and Radius is the distance from the center of the wheel to the point where the force is applied.

In this case, the force applied to the wheel is 300 N, and the radius of the wheel is 20 m. Therefore, the torque around the center of the wheel can be calculated as:
Torque = 300 N × 20 m = 6,000 N-m

So, the correct answer is C. 6,000 N-m.

To learn more about force visit;

https://brainly.com/question/13191643

#SPJ11

The average forces on the ball during its contact with the spring and the pillow, we'll use the impulse-momentum theorem

Which states that the impulse (force × time) acting on an object is equal to its change in momentum (mass × velocity).

Given that the time of contact is the same for both the spring and the pillow, we can use the following equation to compare the average forces:

Average force = Impulse / Time

Let's denote the average force acting on the ball by the spring as F_spring and by the pillow as F_pillow.

Since the time of contact is the same for both cases (t_spring = t_pillow = t), we can write the equation for each scenario:

F_spring = Impulse_spring / t
F_pillow = Impulse_pillow / t

Now, we know that both the spring and the pillow stop the ball, so they have the same change in momentum (Δp). Therefore, we can rewrite the equations as:

F_spring = Δp / t
F_pillow = Δp / t

Since Δp and t are the same in both equations, we can conclude that the average forces on the ball (F_spring and F_pillow) are equal.

learn more about forces here: brainly.com/question/13191643

#SPJ11

The image of a real object formed by a converging lens can be either real or virtual. It depends on the position of the object relative to the lens and the distance between the object and the lens. If the object is placed beyond the focal point of the lens, the image will be real and inverted.

If the object is placed between the lens and its focal point, the image will be virtual and upright. The nature of the image formed by a converging lens is determined by the principles of optics and the properties of the lens itself.When a real object interacts with a converging lens, the image formed can be real or virtual, depending on the object's position relative to the lens's focal point. Here's a step-by-step explanation:
1. When the object is placed beyond the focal point of the converging lens, the image formed is real, inverted, and can be projected on a screen.
2. When the object is placed between the focal point and the lens, the image formed is virtual, upright, and cannot be projected on a screen.a
So, the image of a real object formed by a converging lens can be real or virtual, depending on the object's position relative to the lens's focal point.

learn more about lenses here

https://brainly.com/question/12530595

#SPJ11

The mechanical advantage of a pulley system is calculated as the ratio of output force to input force. In this case, the output force is the weight of the load being lifted, which is 120 N, and the input force is the force applied to the pulley system, which is 20 N. Therefore, the mechanical advantage of the pulley system is:

Mechanical advantage = output force / input force

Mechanical advantage = 120 N / 20 N

Mechanical advantage = 6

Therefore, the mechanical advantage of the pulley system is 6. This means that for every 1 unit of force applied to the pulley system, the load is lifted with 6 units of force.

A 20-N falling object encounters 4 N of air resistance. The magnitude of the net force on the object is 16 N

When a 20-N falling object encounters 4 N of air resistance, the net force acting on the object can be calculated by subtracting the force of air resistance from the gravitational force. In this case, the gravitational force is 20 N, and the air resistance is 4 N.

To find the magnitude of the net force, simply subtract the air resistance from the gravitational force,

20 N - 4 N = 16 N.

Therefore, the magnitude of the net force on the falling object is 16 N. This net force represents the unbalanced force acting on the object, which determines its acceleration according to Newton's second law of motion (F = m * a). The 16 N net force causes the object to accelerate downwards but at a reduced rate due to the air resistance counteracting a portion of the gravitational force.

In summary, a 20-N falling object experiencing 4 N of air resistance has a net force of 16 N acting on it, which dictates the object's acceleration during its descent. This net force takes into account both gravitational force and air resistance and provides insight into the object's motion as it falls.

The Question was Incomplete, Find the full content below :

A 20-N falling object encounters 4 N of air resistance. The magnitude of the net force on the object is ___ N

Know more about Gravitational force here :

https://brainly.com/question/72250

#SPJ11

The kinetic energy needed to overcome the coulomb repulsion between the two nuclei is 3.85 x 10⁻¹³ J and  the gas is to be heated to a temperature of 5.57 x 10¹⁰ K initiate the reaction.

The deuterium-tritium fusion reaction is,

D + T → He + n + 17.59 MeV

where D is deuterium, T is tritium, He is helium, n is a neutron, and 17.59 MeV is the energy released in the reaction.

E = (kq₁q₂)/r, Coulomb's constant (8.987 x 10⁹ Nm²/C²) is k, the charges of the two nuclei (which are both positive, since they are protons) are q₁ and q₂, distance between the nuclei is r. Plugging these values into the formula, we get,

E = (8.987 x 10⁹ Nm²/C²)(1C)(1C)/(2.3 x 10⁻¹⁵m)

E = 3.85 x 10⁻¹³ J

The exact temperature needed to achieve this depends on the distribution of kinetic energies in the gas, but we can use the formula,

T = (2*E)/k_B

where T is the temperature in Kelvin, E is the energy needed to initiate the reaction, and k_B is the Boltzmann constant (1.38 x 10⁻²³ J/K). Plugging in the value of E that we calculated, we get,

T = (2*3.85 x 10⁻¹³ J) / (1.38 x 10⁻²³ J/K)

T = 5.57 x 10¹⁰ K

This temperature is extremely high and is not achievable in most laboratory conditions. However, in the core of the sun and other stars, temperatures and pressures are high enough to sustain nuclear fusion reactions.

To know more about coulomb repulsion, visit,

https://brainly.com/question/9261306

#SPJ4

The angular displacement of the car tires during the 0.65-second acceleration period is 7.17 radians.

To find the angular displacement, follow these steps:

1. Calculate the final velocity: vf = vi + at, where vi = 14 m/s, a = 1.22 m/s², and t = 0.65 s.

2. Calculate the average velocity: v_avg = (vi + vf) / 2.

3. Find the linear displacement: d = v_avg * t.

4. Convert linear displacement to angular displacement: θ = d / r, where r = 0.33 m (converted from 33 cm).

so θ = 2.3661/0.33

=> 7.17 radians

By following these steps, we determine the angular displacement of the car tires during the period of acceleration.

To know more about angular displacement click on below link:

https://brainly.com/question/14769426#

#SPJ11

The spring constant, k, is 10 N/m.

The weight of 20 N is equal to the force exerted by the spring: F = k * x, where F is the force, k is the spring constant, and x is the stretch distance (0.20 m).

Solve for k: k = F / x = 20 N / 0.20 m = 10 N/m.

Summary: By using Hooke's Law, we calculated the spring constant to be 10 N/m.

The period of oscillation, T, is approximately 1.41 seconds.

First, find the equivalent mass, m, of the 5.0 N weight: m = F / g = 5.0 N / 9.81 m/s² ≈ 0.51 kg, where g is the gravitational acceleration (9.81 m/s²).
Next, use the formula for the period of oscillation in a spring-mass system: T = 2 * pi * sqrt(m / k), where T is the period, m is the mass, and k is the spring constant.
Plug in the values: T = 2 * pi * sqrt(0.51 kg / 10 N/m) ≈ 1.41 seconds.

Hence, Using the formula for the period of oscillation in a spring-mass system, we calculated the period to be approximately 1.41 seconds.

learn more about Hooke's Law click here:

https://brainly.com/question/2648431

#SPJ11

A. A real-life example of a sound with a decibel level of approximately 84.77 dB would be a food blender.

B. This means that a 60 dB sound is 100 times less intense than an 80 dB sound.

(a) If a sound is three times as intense as the sound of a toilet flush (80 decibels), the decibel level can be calculated using the formula: dB2 = dB1 + 10 * log10(I2/I1). In this case, dB1 = 80, I1 = 1, and I2 = 3. Plugging these values into the formula, we get:

dB2 = 80 + 10 * log10(3/1) ≈ 84.77 decibels

A real-life example of a sound with a decibel level of approximately 84.77 dB would be a food blender.

(b) To determine how much less intense a 60 dB sound is compared to the 80 dB toilet flush, you can use the same formula and rearrange it to find the intensity ratio (I2/I1):

10 * log10(I2/I1) = dB2 - dB1
log10(I2/I1) = (60 - 80) / 10
I2/I1 = 10^(-2) = 0.01

This means that a 60 dB sound is 100 times less intense than an 80 dB sound. A real-life example of a sound with a decibel level of 60 dB would be normal conversation.

I hope this answers your question! Let me know if you need any further clarification.

To learn more about sound, refer below:

https://brainly.com/question/29707602

#SPJ11

The force that affects James when he uses the seesaw is force of  gravity. Option C.

Gravity may be a constrain that exists between any two objects within the universe that have mass. It is an appealing constrain, meaning it pulls objects towards each other. The size of the gravitational constrain depends on the mass of the objects and the separate between them. The bigger the masses of the objects and the closer they are to each other, the more grounded the gravitational drive between them.

Hence, gravity is the force that pulls James down towards the center of the Soil. This drive is dependable for keeping James situated on the teeter-totter and making him move up and down as he plays. The other alternatives, power, contact, and attractive drive, are not pertinent in this situation and don't play a part within the functioning of the teeter-totter.

Learn more about gravity from

https://brainly.com/question/14874038

#SPJ1

The speed of the car is approximately 27 m/s. This is the correct option.

This is an example of the Doppler effect, which describes the change in frequency of a wave due to the relative motion of the source and the observer.

The frequency of sound waves that an observer hears depends on the relative motion between the observer and the source of the sound waves.

If the source is moving toward the observer, the frequency of the sound waves will be higher than the emitted frequency.

If the source is moving away from the observer, the frequency of the sound waves will be lower than the emitted frequency.

In this case, the observer hears a frequency of 76 Hz when the car approaches, and a frequency of 65 Hz after the car passes by.

This means that the frequency of the sound waves emitted by the car changes as it moves relative to the observer.

The change in frequency of the sound waves is given by the following equation:

Δf/f = v/c

where Δf is the change in frequency, f is the emitted frequency, v is the velocity of the car, and c is the speed of sound.

Substituting the given values, we get:

(76 - 65)/76 = v/343

Solving for v, we get:

v = 27 m/s

to know more about Doppler effect refer here:

https://brainly.com/question/15318474#

#SPJ11

Part A:To rank the forms of light in order of increasing wavelength, arrange them as follows:1. Gamma rays;2. X rays;3. Ultraviolet;4. Visible light;5. Infrared;6. Radio waves

Shortest wavelength (left) to longest wavelength (right): Gamma rays < X rays < Ultraviolet < Visible light < Infrared < Radio waves
Part B:
To rank the forms of light in order of increasing frequency, arrange them in the opposite order of wavelength:1. Radio waves;;2. Infrared;3. Visible light;4. Ultraviolet;5. X rays;6. Gamma rays
Lowest frequency (left) to highest frequency (right): Radio waves < Infrared < Visible light < Ultraviolet < X rays < Gamma rays

learn more about wavelength Refer: https://brainly.com/question/28466888

#SPJ11

Explanation:

The heat energy required to raise the temperature of a substance of mass 1 kg by 1 K is the specific heat capacity of that substance.

When two freely-falling objects with different masses are in free fall, their acceleration is the same due to gravity.

This occurs because gravity acts uniformly on all objects, regardless of their mass. In this context, the acceleration due to gravity is approximately 9.81 m/s² on Earth.

The relationship between mass, acceleration, and force can be explained using Newton's second law of motion, which states that the force (F) acting on an object is equal to its mass (m) multiplied by its acceleration (a):

F = m * a

Although the acceleration is the same for both objects, the force on each mass is not the same. Since the two objects have different masses, the force acting on each object will also be different, as per the equation above.

The object with the larger mass will experience a greater force due to gravity, while the object with the smaller mass will experience a lesser force.

In summary:

1. The acceleration of two freely-falling objects with different masses is the same because gravity acts uniformly on all objects.

2. The force on each mass is not the same, as it depends on the mass of the object according to Newton's second law of motion (F = m * a).

learn more about acceleration here: brainly.com/question/12550364

#SPJ11

C) via fluid movements. Convection involves the transfer of thermal energy through the movement of fluids, such as liquids or gases, as a result of temperature differences.

This can occur in natural processes, such as the circulation of hot air rising and cool air sinking, or in artificial processes, such as in convection ovens. In summary, convection is a method of thermal energy transfer that relies on the movement of fluids.
Convection is the transfer of thermal energy via fluid movements.
Convection occurs when warmer fluids (liquids or gases) rise due to their lower density, and cooler fluids descend due to their higher density.

This creates a continuous cycle of fluid movement, transferring heat throughout the fluid.

Convection transfers thermal energy through fluid movements, making option c) the correct choice.

learn more about convection click here:

https://brainly.com/question/9382711

#SPJ11

The scale would read less than the object's actual weight, specifically E)2 N less.

The scale reading is determined by the normal force acting on the object, which is equal in magnitude to the object's weight in the absence of any other forces. In this case, the elevator is accelerating downward, which means there is a net force acting on the object in the same direction as its weight.

Therefore, the normal force exerted by the scale must be less than the object's weight to balance out the net force and keep the object at rest relative to the elevator. The magnitude of the net force is given by the equation F_net = ma, where m is the mass of the object and a is the acceleration of the elevator.

In this case, F_net = m(-2 m/s^2) = -2m, which means the normal force exerted by the scale must be N = mg - 2m, where g is the acceleration due to gravity.

Since g = 9.8 m/s^2 and the mass of the object is not given, the exact value of the scale reading cannot be determined. However, it is clear that the scale reading will be less than the object's weight by 2 N(e).

For more questions like Force click the link below:

https://brainly.com/question/13191643

#SPJ11

The redshift of the quasar 3c 273 can be calculated using the formula (change in wavelength / original wavelength) = (redshift + 1).

In this case, the change in wavelength is 563.9 nm - 486.1 nm = 77.8 nm, and the original wavelength is 486.1 nm.

Plugging these values into the formula, we get:

(77.8 nm / 486.1 nm) = (redshift + 1)

Simplifying, we get:

redshift = (77.8 nm / 486.1 nm) - 1

redshift = 0.160

Therefore, the redshift of the quasar 3c 273 is approximately 0.160.
Hi! To calculate the redshift of the quasar 3C 273, we need to use the following formula:

Redshift (z) = (Observed Wavelength - Rest Wavelength) / Rest Wavelength

In this case, the rest wavelength corresponds to the hydrogen Balmer line Hβ at 486.1 nm, and the observed wavelength is 563.9 nm. Plugging in these values:

z = (563.9 nm - 486.1 nm) / 486.1 nm
z ≈ 0.16

The redshift of this quasar, 3C 273, is approximately 0.16.

To know more about wavelength click!

https://brainly.in/question/16073180

#SPJ11

0.160 is the redshift of this quasar if  the hydrogen balmer line hb has a wavelength of 486.1 nm and it is shifted to 563.9 nm in the spectrum of 3c 273.

Define redshift

When the wavelength of electromagnetic radiation (like light) increases while the frequency and photon energy decreases, this phenomenon is known as a redshift. A negative redshift, also referred to as a blueshift, is a shift in which the wavelength decreases while the frequency and energy increase simultaneously.

The quasar 3c 273's redshift is calculated as follows: (wavelength change / initial wavelength) = (redshift + 1).

563.9 nm - 486.1 nm, or 77.8 nm h, is the difference in wavelength.The first wavelength is 486.1 nanometers.

We obtain: redshift = (77.8 nm / 486.1 nm)

Redshift = (77.8 nm / 486.1 nm). -1 i.e. 0.160

To learn more about wavelength :

https://brainly.com/question/10750459

#SPJ4

To find the power imparted to the particle by the force, we can use the formula:

Power (P) = Force (F) × Velocity (v) × cos(θ)

where θ is the angle between the force and the velocity.

Given:
- Mass of the particle = 6 kg
- Speed along the y-axis = 4.6 m/s
- Force along the x-axis = 19 N

Since the force is along the x-axis and the particle is moving along the y-axis, the angle between the force and velocity is 90 degrees. The cosine of 90 degrees is 0.

Therefore,

P = 19 N × 4.6 m/s × cos(90°)
P = 19 N × 4.6 m/s × 0
P = 0 W

The power imparted to the particle by the force is 0 Watts.

To know more about Power :

https://brainly.com/question/16019780

#SPJ11

To solve this problem, we need to first convert the initial speed from miles per hour to feet per second. There are 5280 feet in one mile and 3600 seconds in one hour, so:

55 miles per hour = (55 x 5280) feet per hour
= 290,400 feet per hour
= (290,400 / 3600) feet per second
= 80.6667 feet per second (rounded to 4 decimal places)

Next, we can use the equation:

average speed = distance / time

to find the average speed while stopping. We are given that the car comes to rest in 7.5 seconds while traveling 450 feet. However, we want to find the average speed while stopping, which means we need to calculate the distance traveled while stopping.

Since we know the initial speed and the time it takes to come to a stop, we can use the equation:

distance = (initial speed) x (time) + (1/2) x (acceleration) x (time)^2

where acceleration is the rate at which the car slows down, and we assume it is constant. We can rearrange this equation to solve for acceleration:

acceleration = (2 x distance) / (time)^2 - (2 x initial speed) / time

Plugging in the values we have:

distance = 450 feet
time = 7.5 seconds
initial speed = 80.6667 feet per second

acceleration = (2 x 450) / (7.5)^2 - (2 x 80.6667) / 7.5
= -32.2667 feet per second squared (rounded to 4 decimal places)

Note that the negative sign indicates that the car is slowing down.

Now that we have the acceleration, we can use the equation:

average speed = (initial speed + final speed) / 2

where final speed is zero (since the car comes to a stop). We can rearrange this equation to solve for the average speed while stopping:

average speed = 2 x acceleration x time / 2

Plugging in the values we have:

time = 7.5 seconds
acceleration = -32.2667 feet per second squared

average speed = 2 x (-32.2667) x 7.5 / 2
= 241.0 feet per second (rounded to 1 decimal place)

Finally, we can convert the average speed from feet per second to miles per hour by dividing by the conversion factor:

241.0 feet per second = (241.0 x 3600) feet per hour
= 867,600 feet per hour
= 164.5 miles per hour (rounded to 1 decimal place)

Therefore, the average speed while stopping is approximately 164.5 miles per hour.

Learn more about acceleration here:

https://brainly.com/question/12550364

#SPJ11

When a person is standing in an elevator that is moving downward and slowing down, the magnitude of the normal force on the person is greater than the magnitude of the weight force on the person.

This is because the elevator is decelerating and the person's body is trying to continue moving at a constant velocity due to inertia. The normal force, which is the force exerted by the elevator floor on the person, is therefore greater to counteract this motion.  As the elevator moves downward and slows down, it experiences an upward acceleration. According to Newton's Second Law, the net force acting on the person is equal to their mass multiplied by the acceleration (F = ma).
The net force on the person includes two forces: the normal force (Fn) exerted by the elevator floor, and the weight force (Fw) acting downward due to gravity. Since the elevator is accelerating upward, the normal force must be greater than the weight force to create a net upward force (Fn > Fw). Therefore, the magnitude of the normal force on the person is greater than the magnitude of the weight force on the person.

Learn more about Newton's Second Law here:

https://brainly.com/question/13447525

#SPJ11

The reason that you don't observe a Doppler shift when you listen to the car radio when you travel in your car is that the source and observer are moving at the same speed. The answer is a.

When an object emits sound waves, the waves propagate through the medium, such as air, with a certain velocity, which is the speed of sound. The frequency of the sound wave determines its pitch, and the frequency received by an observer is affected by the motion of the source and observer relative to each other. This is known as the Doppler effect.

If the source and observer are moving at the same speed, the frequency of the sound waves received by the observer is not changed, and there is no Doppler shift. In the case of a car radio, the source of the radio waves is the radio station, which is not moving relative to the Earth.

The observer is the person in the car, which is also moving at a constant velocity relative to the Earth. Since the speed of the car is much smaller than the speed of sound, the difference in the speeds of the car and the air inside the car is negligible, and the observer and source are effectively moving at the same speed. Therefore, there is no noticeable Doppler shift.

To know more about doppler shift, refer here:
https://brainly.com/question/15427494#
#SPJ11

The magnitude of the average velocity of the truck was most nearly b. 3.4 m/s

To find the average velocity of the truck, we need to calculate the total displacement of the truck and divide it by the total time taken.

The truck traveled 400 meters north in 40 seconds, which gives us an initial velocity of:

v1 = d1 / t1 = 400 m / 40 s = 10 m/s (north)

Then the truck stopped at a red light for 30 seconds, which means its velocity during this time was zero.

Finally, the truck traveled 4.0 m/s north for 50 seconds, which gives us a final velocity of:

v2 = d2 / t2 = 4.0 m/s (north)

To find the total displacement, we need to add the displacement during the first and second legs of the journey:

d = d1 + d2 = 400 m (north)

The total time taken is the sum of the time taken during each leg of the journey:

t = t1 + 30 s + t2 = 40 s + 30 s + 50 s = 120 s

Now we can find the average velocity:

vavg = d / t = 400 m (north) / 120 s = 3.33 m/s (north)

Therefore, the magnitude of the average velocity of the truck was nearly 3.4 m/s (option b).

Know more about Velocity here :

https://brainly.com/question/80295?source=archive

#SPJ11

The power dissipated in the wire changes by a factor of 6.8.

When a wire of resistance r is stretched uniformly to 2.6 times its initial length, its cross-sectional area reduces.

Since the wire's volume and density remain constant, the new resistance (R') can be found using the formula R' = (2.6)²* r.

This is because resistance is directly proportional to length and inversely proportional to the cross-sectional area. So, R' = 6.76r (approximately).

Now, the power dissipated (P) in a resistor is given by P = V² / R, where V is the voltage. Since the voltage source remains the same, we can find the factor by which the power changes using the ratio of the new resistance to the original resistance:

Factor = (V² / R') / (V² / r) = r / R' = r / (6.76r) ≈ 1 / 6.8.

Thus, the power dissipated in the wire changes by a factor of 6.8.

To know more about voltage source click on below link:

https://brainly.com/question/30192746#

#SPJ11

When traveling to China and bringing electronic devices from another country, it's important to consider the difference in voltage. China's standard voltage is 220V, while countries like the United States use 120V. To power a stereo from the United States in China, you would need a transformer to step down the voltage from 220V to 120V.

To calculate the number of turns needed for a transformer to step down Chinese power from 220V to 120V, we can use the formula:

(Voltage ratio) = (Number of turns in primary coil) / (Number of turns in secondary coil)

In this case, the voltage ratio is:

(220V) / (120V) = 1.83

To step down the voltage by a factor of 1.83, we need the secondary coil to have 1.83 times fewer turns than the primary coil. Therefore, we can calculate the number of turns in the secondary coil (n2) by dividing the number of turns in the primary coil (n1) by 1.83:

n2 = n1 / 1.83

If the primary coil has 700 turns, then the number of turns in the secondary coil would be:

n2 = 700 / 1.83 = 383.06

We cannot have a fraction of a turn, so we would need to round up to the nearest whole number. Therefore, the number of turns in the secondary coil would be:

n2 = 384

So, the transformer's secondary coil should have 384 turns to step down the Chinese power from 220V to 120V for a stereo.

n1 / n2 = V1 / V2

where n1 is the number of turns in the primary coil, V1 is the voltage of the primary coil (220 V in this case), and V2 is the desired output voltage (120 V in this case).

First, let's plug the given values into the transformer equation:

700 turns (n1) / n2 = 220 V (V1) / 120 V (V2)

Step 1: Rearrange the equation to solve for n2:

n2 = 700 turns * (120 V / 220 V)

Step 2: Calculate n2:

n2 = 700 turns * (0.5455)

Step 3: Round n2 to the nearest whole number:

n2 ≈ 382 turns

So, the secondary coil of the transformer should have approximately 382 turns.

To know more about Voltage ratio refer to

https://brainly.com/question/11683246

#SPJ11

The compound with the most number of moles is 50g of carbon (option 2).

The number of moles of a substance can be calculated by dividing the mass of the substance by its molar mass as follows:

moles = mass ÷ molar mass

According to this question, the mass of three elements are given as follows:

Therefore, 100g of carbon has the most number of moles.

Learn more about moles at: https://brainly.com/question/26416088

#SPJ1