Imagine you are running PE class. You run the first 1000 meters in 3 minutes and then get tired and run the last 600 meters in 5 minutes. What was your *average* speed?

Explanation:

\(thank \: you\)

A. The output voltage, Vout, as a function of time, t, in a series RL circuit can be determined using the equation: Vout(t) = Vmax * (1 - e^(-t/τ)), where τ = L/R.

B. When the time interval T is very short (T → 0) and the maximum voltage Vmax is quite high (VmaxT ≈ Φimp), we can approximate the output voltage Vout using the equation: Vout(t) ≈ Φimp * e^(-t/τ), where τ = L/R.

A. To determine the output voltage Vout as a function of time t in a series RL circuit, we use the following equation:

Vout(t) = Vmax * (1 - e^(-t/τ))

Here, Vmax is the maximum input voltage, τ = L/R is the time constant of the circuit (where L is the inductance and R is the resistance).

B. When the time interval T is very short (T → 0) and the maximum voltage Vmax is quite high (VmaxT ≈ Φimp), we can make the following approximation:

Vout(t) ≈ Vmax * e^(-t/τ)

In this case, we substitute VmaxT with Φimp, which is the total magnetic flux in the circuit.

Rearranging the equation, we get:

Vout(t) ≈ Φimp * e^(-t/τ)

This approximation is valid when the time interval T is very small compared to the time constant τ of the circuit and when the maximum voltage is sufficiently high.

The time constant τ is determined by the values of inductance (L) and resistance (R) in the circuit. It represents the characteristic time scale over which the current and voltage in the circuit change in response to a voltage or current input.

Therefore, in the given scenario, when T is very small and Vmax is high, we can approximate the output voltage Vout(t) in the series RL circuit by the equation: Vout(t) ≈ Φimp * e^(-t/τ), where τ = L/R.

Note: The symbol Φimp in the equation represents the total magnetic flux in the circuit.

For more such questions on output voltage, click on:

https://brainly.com/question/27672220

#SPJ8

The final velocity of the ball 2 if the collision is perfectly elastic is 5.87 m/s.

The final velocity of the ball 2 if the collision is perfectly elastic  7.12 m/s.

The final velocity of the ball 1 if the collision is perfectly inelastic 4.4 m/s

The final velocity of the ball 2 if the collision is perfectly inelastic 4.4 m/s

Momentum is defined as product of mass and velocity of the body. It is denoted by letter p and it is expressed in kg.m/s. Mathematically p = mv. it discuss the moment of the body. body having zero mass or velocity has zero momentum. The dimensions of the momentum is [M¹ L¹ T⁻¹].

according to conservation law of momentum,

momentum before collision is equal to momentum after collision.

for elastic collision,

m₁v₁ +m₂v₂ = m₁v₁' + m₂v₂'

for inelastic collision,

m₁v₁ +m₂v₂ = (m₁+ m₂)v

where,

mass of the ball 1 m₁ = 110g = 0.11 kg

mass of the ball 2 m₂ = 340 g = 0.34kg

initial velocity of ball 1 v₁ = 15 m/s

initial velocity of ball 2 v₂ = 0 m/s

final velocity of ball 1 v₁' = ?

final velocity of ball 2 v₂' = ?

velocity of both ball v = ?

for elastic collision,

m₁v₁ +m₂v₂ = m₁v₁' + m₂v₂'

putting all the values,

0.11× 15 = 0.11v₁' + 0.34v₂'

1.65 = 0.11v₁' + 0.34v₂' _______1)

According to conservation energy in elastic collision,

1/2m₁v₁² + 1/2m₂v₂² = 1/2m₁v₁'² + 1/2m₂v₂'²

1/2×0.11×15² = 1/2×0.11×v₁'² + 1/2×0.34×v₂'²

12.37 = 0.055×v₁'² + 0.17×v₂'²______2)

Solving this simultaneous equation we get,

v₁' = 5.87 m/s

v₂'= 7.12 m/s

for inelastic collision,

m₁v₁ +m₂v₂ = (m₁+ m₂)v

0.11×18 + 0 = (0.11 + 0.34 )v

v = 4.4 m/s

To know more about velocity :

https://brainly.com/question/17127206

#SPJ1.

To calculate the final temperature of an air-metal mixture, we need to use the principle of heat transfer.

The heat transfer equation states that the heat gained by the metal is equal to the heat lost by the air. This equation can be written as:

mcΔT = mairCpΔT

To make a prediction of the final temperature, we need to consider factors such as the thermal conductivity of the metal and air, the specific heat capacities of the materials, and the heat transfer coefficients at the metal-air interface. Additionally, the shape and size of the metal object and the surrounding environment can affect the final temperature.

Learn about heat transfer here https://brainly.com/question/25898569

#SPJ1

Answer:

27%

Explanation:

15.999 divided by 58.32 = .27433128

Move the decimal place over 2 places.

27%

Make use of percentages. Given that the molecular mass of magnesium hydroxide (MOH.) is 58.32 amu and the atomic mass of an oxygen atom is 15.999 amu, oxygen accounts for 27% of this compound.

Chemical substances known as molecular compounds assume the shape of distinct molecules. Examples include common compounds like carbon dioxide (CO2) and water (H2O) (Figure 3.1.1 ).

These substances differ significantly from ionic substances like sodium chloride (NaCl). When metal atoms give up one or more of their electrons to non-metal atoms, ionic compounds are created. The cations and anions that result

Therefore,

58.32 / 15.999 (27.3%) =.27433128

Add two places to the decimal place.

27%

The molar mass, which is stated in g/mol, is defined as the mass of a specific material divided by the amount of a substance. In light of this, the molar mass is average. Amu, short for atomic mass units, is the unit used to quantify molecular mass.

To learn more about Molecular versions, refer to:

https://brainly.com/question/6459197

#SPJ2

Answer: Mount Nevado Huascarán

Explanation: Mount Nevado Huascarán in Peru has the lowest gravitational acceleration, at 9.7639 m/s2, while the highest is at the surface of the Arctic Ocean, at 9.8337 m/s2

Answer:

The horizontal displacement of the projectile is 25.98 m

Explanation:

Given;

angle of projection, θ = 30°

initial velocity of the projectile, v = 15 m/s

time of flight, t = 2 seconds

The horizontal displacement or range is given by;

R = vₓt

where;

vₓ is the horizontal component of the velocity

t is the time of flight

R = (15cos30)(2)

R = 25.981 m

R = 25.98 m (to the nearest hundredth)

Therefore, the horizontal displacement of the projectile is 25.98 m

Answer:

25.98

Explanation:

I just took the quiz and I hope you pass.

Answer:

\(\boxed {\boxed {\sf 3.75 \ seconds }}\)

Explanation:

Average acceleration is found by dividing the change in acceleration by the time.

\(a=\frac{ v_f-v_i}{t}\)

The shuttle bus has an acceleration of -2.4 meters per square second. It slows from 9.0 meters per second to rest, or 0 meters per second. Therefore:

\(a= -2.4 \ m/s^2 \\v_f= 0 \ m/s \\v_i= 9 \ m/s\)

Substitute the values into the formula.

\(-2.4 \ m/s^2=\frac{0 \ m/s - 9 \ m/s}{t }\)

Solve the numerator.

\(-2.4 \ m/s^2 = \frac{-9 \ m/s}{t}\)

We want to solve for t, the time. We have to isolate the variable. Let's cross multiply.

\(\frac{-2.4 \ m/s^2}{1} = \frac{-9 \ m/s}{t}\)

\(-9 \ m/s *1= -2.4 \ m/s^2 *t\)

\(-9 \ m/s=-2.4 m/s^2*t\)

t is being multiplied by -2.4. The inverse of multiplication is division, so divide both sides by -2.4

\(\frac{-9 \ m/s }{-2.4 \ m/s^2} =\frac{ -2.4 \ m/s^2*t}{-2.4 \ m/s^2}\)

\(\frac{-9 \ m/s }{-2.4 \ m/s^2} =t\)

\(3.75 \ s=t\)

It takes 3.75 seconds.

Answer:

Role of government in regulating production

Explanation:

The role of government in regulating show , provides the legal and social framework, uphold competition, provides public goods and services.

The community's role in conserving and enhancing common-property resources is well known.

In extra, its role in helping market growth by its power to execute trade agreements among transacting parties belonging to the community network is stressed.

Thus, it provides the legal and social framework, maintains competition, and provides public goods and services.

To learn more about  economics in community click here:

https://brainly.com/question/1344575

The correct answer to the statement " Do two bodies have to be in physical contact to exert a force upon one another " is:

No, the gravitational force is a field force and does not require physical contact to exert

a force.

The correct option is a.

It has been practically proven that two bodies can exert a force upon each other even if there is no physical contact between them. This can as a result of gravity.

That being said, a magnetic attraction can also exert a force between two different bodies upon one another.

So therefore, it can be deduced from above that two different bodies do not have to be in physical contact before they exert a force upon one another.

Read more on force:

https://brainly.com/question/12970081

#SPJ1

Answer:

The Anatomy of a Lens

Refraction by Lenses

Image Formation Revisited

Converging Lenses - Ray Diagrams

Converging Lenses - Object-Image Relations

Diverging Lenses - Ray Diagrams

Diverging Lenses - Object-Image Relations

The Mathematics of Lenses

Ray diagrams can be used to determine the image location, size, orientation and type of image formed of objects when placed at a given location in front of a lens. The use of these diagrams was demonstrated earlier in Lesson 5 for both converging and diverging lenses. Ray diagrams provide useful information about object-image relationships, yet fail to provide the information in a quantitative form. While a ray diagram may help one determine the approximate location and size of the image, it will not provide numerical information about image distance and image size. To obtain this type of numerical information, it is necessary to use the Lens Equation and the Magnification Equation. The lens equation expresses the quantitative relationship between the object distance (do), the image distance (di), and the focal length (f)

Answer:

The change in momentum is:  \(13.5\,\frac{kg\,m}{s}\)

Explanation:

Let's define that vectors pointing up are positive, and vectors pointing down negative.

Then we express the initial momentum of the ball as the product of its mass times the velocity, and include the negative sign since this momentum is pointing down (velocity vector is pointing down):

\(P_i=-0.5\,(15) \frac{kg\,m}{s} =-7.5\, \frac{kg\,m}{s}\)

the final momentum is positive (pointing up) and given by the product:

\(P_f=0.5\,(12) \frac{kg\,m}{s} =6\, \frac{kg\,m}{s}\)

Therefore, since the change in momentum is defined as the difference between the final momentum minus the initial one, we get:

\(P_f-P_i=6-(-7.5)\,\frac{kg\,m}{s} =13.5\,\frac{kg\,m}{s}\)

We want to find the combined volume of 3 tennis balls. We will get that the combined volume is 493.7 cm^3

First, remember that for a sphere of diameter D, the volume is:

\(V = \frac{4}{3}*3.14*(\frac{D}{2})^3\)

Where 3.14 is pi.

Here we know that the average diameter of a tennis ball is 6.8cm, then we can replace that in the above equation to find the volume (in average) of a single tennis ball:

\(V = \frac{4}{3}*3.14*(\frac{6.8cm}{2})^3 = 164.5 cm^3\)

Now, in 3 balls of tennis, the combined volume will be 3 times the above one, this is:

\(3*V = 3*164.5cm^3 = 493.7 cm^3\)

If you want to learn more about volumes, you can read:

https://brainly.com/question/10171109

Answer:

Felipe's average speed over the 20s period is 14.4 km/h.

Explanation:

To determine the speed at which Felipe has walked, the distance traveled and the time it took him must be considered.

Thus, Felipe walked 80 meters (20 towards the truck, and 60 inside it) in a total of 20 seconds. That is, he traveled 4 meters per second (80/20 = 4).

Now, to transfer said speed to kilometers per hour, the following calculation must be performed:

1 hour = 60 minutes

1 = 60 seconds

Number of seconds in an hour: 60 x 60 = 3600

Thus, Felipe has walked at an average speed of 14,400 meters per hour (4 x 3,600 = 14,400). So, since a kilometer consists of 1000 meters, its average speed in kilometers per hour was 14.4 km / h (14,440 / 1,000 = 14.4).

Answer: the answer is 4.0 for both

Explanation: on khan academy !!!

Answer:

Approximately \(3.967\; {\rm kg\cdot m\cdot s^{-1}}\).

Explanation:

Convert velocity to the standard units (meters per second):

\(\begin{aligned}v &= 246.2 \; {\rm km \cdot h^{-1}} \\ &= 246.2 \; {\rm km \cdot h^{-1}}\times \frac{1\; {\rm h}}{3600\; {\rm s}} \times \frac{1000\; {\rm m}}{1\; {\rm km}} \\ &\approx 68.389\; {\rm m\cdot s^{-1}}\end{aligned}\).

Convert mass to standard units (kilograms):

\(\begin{aligned} m &= 58\; {\rm g} \\ &= 58\; {\rm g} \times\frac{1\; {\rm kg}}{1000\; {\rm g}}\\ &= 0.058\; {\rm kg}\end{aligned}\).

When an object of mass \(m\) travels at a velocity of \(v\), momentum of that object would be \(p = m\, v\). In standard units, the momentum of this tennis ball would be:

\(\begin{aligned}p &= m\, v \\ &\approx (0.058\; {\rm kg})\, (68.389\; {\rm m\cdot s^{-1}}) \\ &\approx 3.967\; {\rm kg \cdot m\cdot s^{-1}}\end{aligned}\).

Widening the prism adds additional glass, which slows light down even further and increases the amount of refraction.

The angles and plane sides of a prism cause light to be bent, or refracted, when it flows through them; the degree of refractive distortion varies somewhat depending on the wavelength of light.

When light travels from the air to the prism's glass, its speed changes, causing the light to bend and shift course. Once light enters the prism, it bends because the refraction indices of the air and glass differ. The light exits the prism bent even more since the sides are slanted.

learns more about prism

https://brainly.com/question/23963432

#SPJ1

Answer:

The correct answer is A) It is upright and 1.5m behind the mirror

Explanation:

Your reflection must be upright, meaning vertical/erect, and the distance will be the exact same. Also, the reflected ray appears as if it had traveled from an object located behind the mirror.

Answer:

Tension

Explanation:

Answer:

  k y -b \(\frac{dy}{dt}\)dy / dt = m \(\frac{d^2y}{dt^2}\)

give us some initial conditions

1) friction force fr = 1N when v = 4m / s

2) an initial displacement of x = 0.08 m for t=0 s

Explanation:

In this exercise, you are asked to state the problem you are posing. We are going to find the equation of motion for this exercise. Let's start with Newton's second law

Let's set a reference system with the y-axis in a vertical and positive direction upwards.

We have four forces: an external downward force, negative in sign, the but that goes down and is negative, the Hook force that goes up and is positive and the friction force that opposes the movement, in this case it goes down being negative

let's write Newton's second law

          F_e -F -fr - W = m a

where

          F_e = -kDy = - k y

          fr = - b v = -b dy / dt

          W = mg

we substitute for the specific case, that is, using the signs

          k y  -b \(\frac{dy}{dt}\) - m g - F = m \(\frac{d^2y}{dt^2}\)

In the initial condition of the problem, before starting the movement, the friction force is zero and the acceleration is also zero

         k y - m g - F = 0

from this equation you can find the spring constant, y= 9m and F=2 N

It is not clear if when the movement starts this external force becomes zero, but since it balances the weight we can eliminate the two forces that have the same magnitude and opposite direction, so the equation remains

              k y - b \(\frac{dy}{dt}\)dy / dt = m \(\frac{d^2y}{dt^2}\)

give us some initial conditions

1) friction force fr = 1N when v = 4m / s

2) an initial displacement of x = 0.08 m for t=0 s

therefore, to initiate the movement, a small external force F 'is applied that moves the system to a new equilibrium position and this small force F' is made zero, thus initiating an oscillatory movement, described by the equation.

             k y -b \(\frac{dy}{dt}\)dy / dt = m \(\frac{d^2y}{dt^2}\)

This is a differential equation of the second degree, therefore it needs two initial conditions for its complete solution

The initial amount of displacement corresponds to the amplitude of movement A = 0.08 m

(a) The area of the leaf is  0.064 m².

(b) The length of the fiber is 10,359.2 m.

The area of the leaf is calculated from the volume of the leaf, while the volume of the leaf is calculated from the density and mass of the leaf.

V = m / ρ

where;

V = ( 4.295 g ) / ( 19.32 g/cm³ )

V = 0.22 cm³ = 0.22 x 10⁻⁶ m³

Ah = V

A = V / h

where;

A = ( 0.22 x 10⁻⁶ m³ ) / ( 3.449 x 10⁻⁶ m )

A = 0.064 m²

The length of the fiber is calculated as follows;

V = πr²h

h = V / πr²

h = ( 0.22 x 10⁻⁶ m³ ) / ( π x 2.6 x 10⁻⁶ m x 2.6  x 10⁻⁶ m )

h = 10,359.2 m

Learn more about area here: https://brainly.com/question/25292087

#SPJ1

The minimum stopping distance of the car is determined as 8 m.

The minimum stopping distance of the car is calculated as follows;

d = (u²)/(2a)

where;

when the minimum stopping distance = 2 m, initial velocity = 40 km/hr = 11.11 m/s

2 = (11.11²)/(2a)

a = (11.11²)/(2 x 2)

a = 30.86 m/s²

when the speed becomes 80 km/h, the minimum stopping distance is calculated as;

u = 80 km/h = 22.22 m/s

d = (22.22² )/ (2 x 30.86)

d = 8 m

Learn more about minimum stopping distance here: https://brainly.com/question/13030196

#SPJ1

Answer:

The bumper will be able to move by 0.01155m.

Explanation:

The magnitude of deceleration of the car in the front end collision.

\(a = \frac{F_m}{m} \\\)

\(a = \frac{80000}{1500} \\\)

\(a = 53.33\)

This is the deceleration of the car that is generated to stop due to a front end collision.

4 km/h = 1.11 m/s

Now, the initial speed of the bumper in the relation of car, Vi = 0

Now, the initial speed of the bumper in the relation of car, Vf = 1.11 m/s

Use the below equation:

\(s = \frac{(Intitial \ speed)^2 – (Final \ speed)^2}{2a} \\\)

\(s = \frac{(1.11)^2 – (0)}{2 \times 53.33} \\\)

\(s = 0.01155 \\\)

Thus, the bumper can move relative to the car is 0.01155 m .

The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.

Given:

Object height (h) = 5 cm

Focal length of the convex lens (f) = 10 cm

Object distance (u) = 15 cm (positive since it's on the same side as the incident light)

To determine the nature, position, and size of the image, we can use the lens formula:

1/f = 1/v - 1/u

Substituting the given values:

1/10 = 1/v - 1/15

To simplify the equation, we find the common denominator:

3v - 2v = 2v/3

Simplifying further:

v = 30 cm

The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.

To find the magnification (M), we use the formula:

M = -v/u

Substituting the values:

M = -30 / 15 = -2

The magnification is -2, indicating that the image is inverted and twice the size of the object.

For more such information on: convex lens

https://brainly.com/question/30010355

#SPJ8

We need the position vectors of a particle at two points along its path and also know the time it took to move from one point to the other to find the instantaneous velocity but not the average velocity.

We need to take a moment to be able to explain to ourselves again the meaning of the term velocity. Let us recall that the term velocity would have to do with the change in the position of an object with time.

We know that the velocity is a vector quantity and as such we must have to look at the direction in which the distance that has been covered has passed through and this is something that we must keep in  mind as we work through this question.

Now, we know that the velocity is the change in position as such we need the two positions of the object and the approximate time taken to make the change.

Learn more about velocity:https://brainly.com/question/18084516

#SPJ1

Answer:V(t)=20t^2-100t+50t

as we know accl means derivatives of velocity.

a/q,

dv/dt =0

dv/dt=20t^2-100t+50t=0

dv/dt=4t-100+50=0

=>40t-50=0

=>40t=50

=>t=1.25

therfore Vs= 20t^2-100t+50t

Vs=20(1.25625)-125+62.5

Vs=31.25-125+62.5

Vs=-31.25

The distance traveled by the object during the time interval from t = 2 s to t = 3s is 3m. Option C.

From the formula d = ½ at2 the displacement is proportional to the square of time. If you run twice as far from the rest, the displacement will quadruple (or 4m). Since the object has already moved 1 m in the first second, the remaining 3 m have moved in time intervals from 1 to 2 seconds.

This means that the velocity and net force in the direction normal to the plane must be zero. Assuming the plane is frictionless means that the plane exerts no force on the block parallel to the surface. For angular frictionless tilt, the acceleration is the result of the gravitational acceleration multiplied by the sine of the angle.

Learn more about A frictionless incline here:-https://brainly.com/question/13538001

#SPJ9

The ways to solve this problem is through knowledge dissemination, citizens who were outraged by the article about the negative statements and malicious stories about Filipinos, could submit positive articles about the culture of the Filipino people.

Another way could be through open dialogue, with Filipino internet users, publicly apologizing seeking to become more involved with the Filipino community.

Therefore, the best way to solve the problem is through ethically-based freedom of expression, avoiding stereotypes of a culture you don't belong to, and looking for a way to disseminate respectful and empathetic information about a people.

Learn more here:

https://brainly.com/question/19561423

The distance traveled by the body in the given time is 1,250 m.

The given parameters;

The distance traveled by the body in the given time is calculated as follows;

\(s =ut + \frac{1}{2} at^2\\\\s = 0 \ + \ \frac{1}{2} (4)(25^2)\\\\s =1,250 \ m\)

Thus, the distance traveled by the body in the given time is 1,250 m.

Learn more here:https://brainly.com/question/17067013

It means that a material transmits waves can pass through the material and propagate or travel through it. without being absorbed or reflected.

When a material is said to transmit waves, it means that the wave can pass through the material and propagate or travel through it. The material allows the wave to pass through it without being absorbed or reflected. This means that the wave maintains its amplitude, frequency and wavelength as it travels through the material, and it doesn't lose energy. For example, light waves can pass through a transparent material such as glass and air, while they are absorbed by opaque materials such as wood and metal. Solids, liquids, and gases can all be penetrated by sound waves. Some materials, such as anisotropic materials, can transmit waves in different directions. For example, a material that is more conductive in one direction than in another, a wave that is propagating through it will travel differently depending on the direction it's coming from. The properties of a material that allow it to transmit waves are determined by the material's elastic and electromagnetic properties, density, and structure.

To know more about waves please refer: https://brainly.com/question/20712406

#SPJ4