a 1150-kg car is held in place by a light cable on a very smooth (frictionless) ramp. what is the tension the cable?

The volume flux inside the rectangular duct is 0.028 m³/s.

Volume flux, also known as volumetric flow rate, is a measure of the volume of fluid passing through a given area per unit time. It is commonly expressed in cubic meters per second (m³/s). To calculate the volume flux in the given scenario, we can use the formula:

Volume Flux = (Air flow rate) / (Cross-sectional area)

First, we need to calculate the cross-sectional area of the rectangular duct. The area can be determined by multiplying the length and width of the duct:

Area = (138 mm) * (346 mm)

To maintain consistent units, we convert the dimensions to meters:

Area = (138 mm * 10⁻³ m/mm) * (346 mm * 10⁻³ m/mm)

Next, we can calculate the air flow rate using the given information. The air flow rate is given as 17 N/s, which represents the mass flow rate. We can convert the mass flow rate to volume flow rate using the ideal gas law:

Volume Flow Rate = (Mass Flow Rate) / (Density)

The density of air can be determined using the ideal gas law:

Density = (Pressure) / (Gas constant * Temperature)

where the gas constant (R) is given as 28.5 m/K, the pressure is 112 kPa, and the temperature is 20 degrees Celsius.

With the density calculated, we can now determine the volume flow rate. Finally, we can divide the volume flow rate by the cross-sectional area to obtain the volume flux.

Learn more about volume

brainly.com/question/14568432

#SPJ11

Answer:

The maximum height is 2881.2 m.

Explanation:

Given that,

Acceleration = 29.4 m/s²

Time = 7.00 s

We need to calculate the distance

Using equation of motion

\(s=ut+\dfrac{1}{2}at^2\)

Put the value into the formula

\(s=0+\dfrac{1}{2}\times29.4\times7^2\)

\(s=720.3\ m\)

We need to calculate the velocity

Using formula of velocity

\(v=a\times t\)

Put the value into the formula

\(v=29.4\times7\)

\(v=205.8\ m/s\)

We need to calculate the height

Using formula of height

\(H=\dfrac{v^2}{2g}\)

Put the value into the formula

\(H=\dfrac{(205.8)^2}{2\times9.8}\)

\(H=2160.9\ m\)

We need to calculate the maximum height

Using formula for maximum height

\(H'=H+s\)

Put the value into the formula

\(H'=2160.9+720.3\)

\(H'=2881.2\ m\)

Hence, The maximum height is 2881.2 m.

Answer:

e.g. means "for example" but is physics is also stands for gravitational potential energy

The new angular velocity of the two disks is lower than the initial angular velocity of the first disk. This is because the moment of inertia of the combined system (the two disks) is higher than the moment of inertia of the first disk alone. When the second disk is added, the total moment of inertia increases, which means that more torque is required to maintain the same angular velocity.

However, since the system is still rotating with uniform angular velocity, the torque must remain constant. This means that the new angular velocity is lower in order to compensate for the increased moment of inertia. The exact relationship between the old and new angular velocities depends on the masses and radii of the disks, as well as the initial angular velocity of the first disk.

To know more about angular velocity  visit :-

https://brainly.com/question/30237820

#SPJ11

Answer:This is the Difference Between a Hypothesis and a Theory. ... In scientific reasoning, a hypothesis is an assumption made before any research has been completed for the sake of testing. A theory on the other hand is a principle set to explain phenomena already supported by data.

Explanation:

Answer:

As altitude increases, the amount of gas molecules in the air decreases—the air becomes less dense than air nearer to sea level. This is what meteorologists and mountaineers mean by "thin air." Thin air exerts less pressure than air at a lower altitude

Explanation:

1.Plastic

Thermal Degradation – Plastic materials subjected to prolonged exposure to high temperatures will lose strength and toughness, becoming more prone to cracking, chipping, and breaking, at a rate in proportion to the temperature and time of exposure.

2.Iron

At room temperature, the iron atoms are in an unusual loosely packed open arrangement; as iron is heated past 912 degrees Celsius, the atoms become more closely packed before loosening again at 1,394 degrees Celsius and ultimately melting at 1,538 degrees Celsius

The maximum resultant of two vectors , one 10m/s and 20 m/s will be 22.36.

The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object. Air resistance is the name for the frictional force that an object experiences as it moves through the air and slows it down. Air resistance does greatly change trajectory motion, but because it is difficult to calculate, it is not taken into account in basic physics.

The separation of horizontal and vertical motions is the most crucial idea in projectile motion.

To learn more about Projectile motion refer

https://brainly.com/question/11049671?referrer=searchResultssearchResults

#SPJ13

A driver should phone 911 to report an emergency vehicle if they see one coming.

Responders to "code 3" emergencies frequently pass stopped or slow-moving traffic or backed-up cars at stoplights by using opposing lanes. Allow the ambulance to pass: When you see an ambulance with its sirens on, move to the right and yield. Ensure there is sufficient room for the car to pass. In times of panic, you might make a mistaken turn. Reduce your speed, then come to a complete stop, to avoid that. If it's safe and practical, a driver should change lanes if they notice an emergency vehicle on the side of the road with its lights flashing and/or sirens on.

To learn more about speed click here https://brainly.com/question/28224010

#SPJ4

Answer:Acceleration= 2.5m/s^2and force =2500N

A) acceleration=30/12=2.5m/s^2

B)F=m*a=1000*2.5=2500N

Pls vote Brainliest

Explanation:

Telescopes designed to study the earliest stages in galactic lives should be optimized for observations in infrared light. Infrared light has longer wavelengths than visible light, allowing it to penetrate dust and gas clouds more effectively.

This is particularly important for studying the earliest stages of galactic evolution, as these stages often involve dense regions of dust and gas that can obstruct visible light observations. By observing in the infrared spectrum, astronomers can detect the faint emissions from warm dust, molecular clouds, and newly forming stars that are otherwise hidden in the visible range. This enables them to study processes such as star formation, protoplanetary disks, and the evolution of galaxies in their early stages.Therefore, optimizing telescopes for observations in infrared light is crucial for gaining insights into the earliest stages of galactic lives and unraveling the mysteries of galactic evolution.

To know more about telescopes, click here https://brainly.com/question/31634676

#SPJ11

If the rods P and Q repel each other, that means they have the same charge signs (both are positive or both are negative)

Since the rods P and R attract each other, that means they have opposite charge signs (one is positive and the other is negative).

Looking at the options, the only one that can represent the signs of the charges on the rods is the third option. (P and Q have the same charge sign, P and R have different charge signs)

The velocity of the river is 8 m/s. The standard unit for velocity is meters per second (m/s).

What is Velocity?

Velocity is a physical quantity that refers to the rate at which an object changes its position with respect to a reference point.  In other words, velocity describes both how fast an object is moving and in what direction it is moving.

This problem can be solved using vector addition.

Let the velocity of the swimmer be v_s = 4 m/s at an angle of 30 degrees to the normal to the riverbank.

Let the velocity of the river be v_r = ? m/s in an unknown direction.

The velocity of the swimmer relative to the river can be found using vector addition:

v_s/r = sqrt(v_s^2 + v_r^2 - 2v_sv_r*cos(theta))

where theta is the angle between the velocity of the swimmer and the velocity of the river.

Since the swimmer is crossing the river directly perpendicular to the river, theta = 90 degrees.

v_s/r = sqrt(v_s^2 + v_r^2 - 2v_sv_r*cos(90))

v_s/r = sqrt(v_s^2 + v_r^2)

Substituting in the values:

4/v_r = sqrt(4^2 + v_r^2)

16/v_r^2 = 16 + v_r^2

v_r^2 + 16v_r - 256 = 0

Using the quadratic formula:

v_r = (-16 ± sqrt(16^2 + 41256)) / 2*1

v_r = (-16 ± sqrt(1024)) / 2

v_r = (-16 ± 32) / 2

The negative solution is not physically meaningful, so we take the positive solution:

v_r = 8 m/s

Therefore, the velocity of the river is 8 m/s.

Learn more about Velocity from given link

https://brainly.com/question/80295

#SPJ1

Answer:

C. 2 N left

Explanation:

Subtract the smaller number from the bigger number, the difference will go to the side with the larger number.

Calculate the average velocity based on the given flow rate. b. Use the velocity profile equation to calculate the velocity (U) at a radial distance (r) from the tube center. c. Calculate the shear rate (γ_dot) using the given equation

a. Calculate the average velocity  based on the given flow rate: Flow rate = 3 L/min

Flow rate = 3,000 mL/min (1 L = 1,000 mL)

The cross-sectional area of the tube can be calculated using its diameter:

Diameter = 15 mm

Radius (R) = 15 mm / 2 = 7.5 mm = 7.5/10 cm = 0.75 cm

Area (A) = π * R^2

To calculate the average velocity (U_average), we divide the flow rate by the cross-sectional area:

U_average = Flow rate / Area

U_average = 3,000 mL/min / 1.7675 cm^2

U_average ≈ 1,697.48 mL/(min*cm^2)

Now let's move to step b:

b. Use the velocity profile equation to calculate the velocity (U) at a radial distance (r) from the tube center:

The velocity profile equation is given as U(r) = U_average(1 - (r/R))^0.15

r1 = 0 (tube center)

r2 = 0.75 mm (tube wall)

r3 = 1.5 mm (specified radial distance)

For r = 0:

U(0) = U_average(1 - (0/0.75))^0.15

U(0) = U_average

For r = 0.75 mm:

U(0.75) = U_average(1 - (0.75/0.75))^0.15

U(0.75) = U_average * 0.15^0.15

c. Calculate the shear rate (γ_dot) using the given equation:

The viscosity equation is given as μ = 0.15 γ_dot^0.25

We need to solve for γ_dot. Rearranging the equation:

γ_dot = (μ / 0.15)^4

γ_dot = (0.15 γ_dot^0.25 / 0.15)^4

γ_dot = γ_dot^0.25^4

γ_dot = γ_dot

To learn more about average velocity follow:

https://brainly.com/question/28512079

#SPJ11

The velocity of the stone is 0 after 5 seconds

We have the function h(t) = 400 + 60t - 6t^2 that gives the height of the stone at time t.

To find the time t at which the velocity is 0, we need to find the derivative of h(t) which will give us the velocity function.

So we have;h(t) = 400 + 60t - 6t^2

h'(t) = 60 - 12t

To find the time t at which the velocity is 0, we solve

h'(t) = 0 for t;

60 - 12t = 0

⇒ 12t = 60

⇒ t = 5 s

Therefore, After 5 seconds, the stone's velocity is 0.

Hence, the answer is "t = 5"

learn more about velocity from given link

https://brainly.com/question/16618732

#SPJ11

Answer:

3km due West

Explanation:

Displacement is the distance traveled in a specific direction. From this definition, we can see that displacement is a vector quantity that has magnitude and direction.

So;

 For the first day, the person walks 4km East:

                                                           4km

                                     Start ----------------------------→ first day

                                                            7km

              ← ------------------------------------------------------  Second day

The displacement of the boy  = 7km  - 4km  = 3km due West

Answer:

Yes

Explanation:

The magnitude of a physical quantity depends on system of units chosen.

Answer: (A) The number of waves that pass a point in a certain amount of time.  

Explanation:

Electromagnetic waves are categorized according to their frequency f or, equivalently, according to their wavelength λ = c/f. Visible light has a wavelength range from ~400 nm to ~700 nm.

Frequency: Is the number of waves that pass a certain point in a specified amount of time.

Trough: The low point of the wave cycle.

Wavelength: The distance between two successive peaks.

Electromagnetic wave: One of the waves that are propagated by simultaneous periodic variations of electric and magnetic field intensity.

Answer:

400grams

Explanation:

Mass is density × volume

0.5×800= 400 grams

Mass is density × volume

0.5×800= 400 grams.

Density is the number of things—which could be people, animals, plants, or objects—in a certain area. To calculate density, you divide the number of objects by the measurement of the area. The population density of a country is the number of people in that country divided by the area in square kilometers or miles.

density, the mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume.

Learn more about density here:  https://brainly.com/question/1354972

#SPJ2

Using this equation, the refractive index of a material with an angle of incidence of 24∘ and an angle of refraction of 17∘ was found to be approximately 1.33, consistent with common transparent materials.

When a beam of light passes from one medium into another, its direction changes due to the change in the speed of light in the different media. This phenomenon is known as refraction. The angle of incidence is the angle between the incident ray and the normal to the surface at the point of incidence, and the angle of refraction is the angle between the refracted ray and the normal.

The relationship between the angles of incidence and refraction is given by Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the speeds of light in the two media. Mathematically,

\($\frac{\sin{\theta_1}}{\sin{\theta_2}}=\frac{v_1}{v_2}$\)

where \("\theta_2"\) is the angle of incidence, \("\theta_2"\) is the angle of refraction, \(v_1\) is the speed of light in the incident medium (in this case, air), and \(v_2\) is the speed of light in the transparent material.

Assuming that the transparent material has a higher refractive index than air, we know that the angle of refraction will be smaller than the angle of incidence. In this case, we are given that \("\theta_1"\) = 24∘ and \("\theta_2"\) = 17∘. We can use Snell's law to find the refractive index of the transparent material.

First, we need to know the speed of light in the air and the speed of light in the transparent material. The speed of light in air is approximately \($3 \times 10^8 \text{ m/s}$\), and the speed of light in the transparent material depends on its refractive index. Let's denote the refractive index of the material by n. Then, we have:

\($\frac{\sin{24^\circ}}{\sin{17^\circ}}=\frac{3 \times 10^8 \text{ m/s}}{v_2}$\)

Solving for \(v_2\), we get:

\($v_2 = (3 \times 10^8 \text{ m/s}) \times \frac{\sin{17^\circ}}{\sin{24^\circ}} \approx 2.26 \times 10^8 \text{ m/s}$\)

Next, we can use the relationship between the speed of light and the refractive index to find n:

\($n = \frac{c}{v_2}$\)

where c is the speed of light in a vacuum

Thus,

\($n = \frac{3 \times 10^8 \text{ m/s}}{2.26 \times 10^8 \text{ m/s}} \approx 1.33$\)

This value of the refractive index is close to that of common transparent materials like water and glass.

In summary, when a beam of light travels from air into a transparent material at an angle of incidence of 24∘ and an angle of refraction of 17∘, the refractive index of the material can be found using Snell's law and the relationship between the speed of light and the refractive index. The calculated value of the refractive index is approximately 1.33, which is consistent with that of common transparent materials.

To learn more about refractive index

https://brainly.com/question/30761100

#SPJ4

A spherical drop of water carrying a charge of 41pC has a potential of 570 V at its surface (with V=0 at infinity) (a) The radius of the drop is approximately 5.88 micrometers (μm).

(b) The potential at the surface of the new drop formed by combining two drops of the same charge and radius is approximately 1140 V.

(a) To find the radius of the drop, we can use the formula for the potential of a charged sphere, which is given by V = (k * Q) / r, where V is the potential, k is the electrostatic constant, Q is the charge, and r is the radius of the sphere. Rearranging the formula to solve for the radius, we have r = (k * Q) / V. Plugging in the given values of Q = 41 pC (pico coulombs) and V = 570 V, and using the value of k = 8.99 × 10^9 Nm^2/C^2, we can calculate the radius to be approximately 5.88 μm.

(b) When two drops combine to form a single spherical drop, the total charge remains the same. Therefore, the potential at the surface of the new drop can be calculated using the same formula as before, but with the combined charge. Since each drop has the same charge and radius, the combined charge will be 2 times the original charge. Plugging in Q = 82 pC (2 * 41 pC) and using the given value of V = 570 V, we can calculate the potential at the surface of the new drop to be approximately 1140 V.

To know more about spherical drops click here:

https://brainly.com/question/13466465

#SPJ11

Answer:

The answer is D. Particles that bump into each other.

Explanation:

I took AP3X quiz.

"The statement that is correct is: ""Collisions and mergers between galaxies can sometimes change a galaxy's type (shape).""

Galaxies can interact with each other, leading to gravitational disturbances that can cause a change in their shape. For example, when two spiral galaxies collide, they can merge to form an elliptical galaxy. This process can also trigger the formation of new stars and other phenomena in the galaxies involved.

The other statements are incorrect:

Whatever type a galaxy is at its birth, that's what it will be for all time: This is not correct. The type of galaxy can change over time due to interactions with other galaxies, as mentioned above.

What type we see a galaxy to be just depends on the angle at which we happen to see it: This is also not correct. The shape of a galaxy can be determined by analyzing its structure and properties, such as the distribution of stars and gas.

All galaxies start out as ellipticals, but some later evolve to be spirals and irregulars: This is not correct either. Different types of galaxies can form through different mechanisms, and some galaxies may not fit neatly into any of the three main types (elliptical, spiral, irregular).

90% of all galaxies are spirals (including our Milky Way), the other two types are very unusual: This statement is also not correct. While spiral galaxies are common, there are also many elliptical and irregular galaxies in the universe.

Click the below link, to learn more about Shapes of galaxies:

https://brainly.com/question/14578967

#SPJ11"

The average electric field strength in the space between the plates is 3461.538  volts/meter. b)  the electric force on a 75.0 nc charge located halfway between the two plates is 225 × \(10^{-6}\)

D = 2.6 = 2.6 × \(10^{-3}\)

V = 9 v

Average electric field strength is E = v/d = 9 / 2.6 × \(10^{-3}\) = 3461.538

q = 75 nC = 75 × \(10^{-9}\)

Electric Fe = qE = 75 × \(10^{-9}\) × 3000 = 225 × \(10^{-6}\)

An electric field (also known as an E-field) is a physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them. It can also refer to the physical field of a charged particle system. Electric fields are created by electric charges and time-varying electric currents. Electric and magnetic fields are both aspects of the electromagnetic field, one of nature's four fundamental interactions (also known as forces).

Electric fields are significant in many areas of physics and are used in electrical technology. In atomic physics and chemistry, for example, the electric field is the attractive force that holds the atomic nucleus and electrons together in atoms. It is also the driving force behind chemical bonds between atoms.

Learn more about Electric field here:

https://brainly.com/question/15800304

#SPJ4

Answer: B

Explanation: it is perpendicular to a surface

Answer:

it is perpendicular to a surface

Explanation: