Ben runs from a position 3 m west of Main Street to a new position 45 m west of Main Street in 6 seconds. What is Ben's velocity?

Answers

Answer 1
7m/ s west is the answer that you are looking for.

Related Questions

The pioneer in the technique of photographic collage was:

Answers

The correct answer is Raoul Hausmann. He was an Austrian artist and writer. And he was a forefather and dominant figure of the Dada movement in Berlin, who was known particularly for his ironic photomontages and his provocative writing on art. One of the important figures there also includes the experimental photographic collages, sound poetry and institutional reviews that has a profound influence on the European Avant-Garde in the aftereffects of World War I.

a speeding car traveling north at 80mph passes the tramway intersection when the police begin pursuit. The police start 6 miles south of tramway traveling at 100mph. How many miles north of tramway will they be when they catch up with the speeding car?

Answers

Refer to the diagram shown below.

Define
x =  distance, miles, that the speeding car travels before the police catch up.
t = time, hrs, before the police catch up.
Then
(80 m/h)*(t h) = (x mi)
80t = x                 (1)

(100 mi/h)*(t h) = (x+6 mi)
100t = x + 6          (2)

Subtract (1) from (2).
100t - 80t = x+6 - x
20t = 6
t = 6/20 = 0.3 h

From (1), obtain
x = 80*0.3 = 24 mi.

Answer:  24 miles

Astronaut mark uri is space-traveling from planet x to planet y at a speed of relative to the planets, which are at rest relative to each other. when he is precisely halfway between the planets, a distance of 1.0 light-hour from each one as measured in the planet frame, nuclear devices are detonated on both planets. the explosions are simultaneous in mark's frame. what is the difference in the time of arrival of the flashes from the explosions as observed by mark?

Answers

Final answer:

The time of arrival of the flashes from the explosions will be different for Mark due to time dilation. Mark's velocity relative to the planets will cause a time difference between the observed arrival times. The Lorentz transformation formula can be used to calculate the time dilation factor.

Explanation:

The difference in the time of arrival of the flashes from the explosions as observed by Mark can be calculated using the concept of time dilation. According to the theory of special relativity, time is relative and depends on the observer's frame of reference. As Mark is traveling at a speed relativistic to the planets, the time measured by Mark will be different from the time measured by an observer at rest on the planets.

In this scenario, Mark is traveling halfway between the planets, so the distance to each planet from Mark is 1.0 light-hour. The explosions on both planets are simultaneous according to Mark's frame of reference. However, due to time dilation, the time of arrival of the flashes from the explosions will be different as observed by Mark.

The time dilation factor can be calculated using the Lorentz transformation formula:
t' = t * sqrt(1 - (v^2 / c^2))

Where:
t' is the time measured by Mark
t is the time measured in the planet frame
v is Mark's velocity relative to the planets
c is the speed of light

Since Mark is traveling at a speed relativistic to the planets, his velocity v will be a significant fraction of the speed of light, resulting in a noticeable time dilation effect.

Harry is reading an online summary of the law of reflection. The site states that after light hits a mirror, the angle of reflection is the angle between the reflected ray and the normal, which is the surface of the mirror.Which statement corrects an error on the site?

Answers

'A line perpendicular to the mirror's surface is called the normal. This is the right statement for correcting a website error.

What is the law of reflection?

The law of reflection states that when a ray is reflected off a downy surface, the reflected ray's slope is equivalent to the incident ray's slope.

The incident ray and the reflected ray are always in the same plane as the incident ray and perpendicular to the surface at the incident ray's point of reference.

The angle of reflection is comparable to the angle of incidence when light rays fall on a flat surface, and the incident ray, reflected ray, and normal to the surface all lie in the same plane.

Hence 'A line perpendicular to the mirror's surface is called the normal. This is the right statement for correcting a website error.

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A bullet is fired horizontally with an initial velocity of 144.7 m/s from a tower 11 m high. if air resistance is negligible, what is the horizontal distance the bullet travels before hitting the ground?

Answers

h = 11 m, the vertical distance that the bullet falls.
Initial vertical velocity  = 0
Horizontal velocity  = 144.7 m/s

The time, t, taken to fall 11 m is given by
(1/2)*(9.8 m/s²)*(t s)² = (11 m)
4.9t² = 11
t = 1.4983 s

If aerodynamic resistance is ignored, the horizontal distance traveled before the bullet hits the ground is
d = (144.7 m/s)*(1.4983 s) = 216.8 m

Answer: 216.8 m

Final answer:

To find the horizontal distance a bullet travels before hitting the ground when fired from a certain height, one must calculate the time of fall due to gravity and then multiply by the horizontal velocity. In the given scenario, the bullet would travel approximately 216.5 meters.

Explanation:

The problem of calculating the horizontal distance a bullet travels before hitting the ground involves understanding projectile motion, specifically when an object is fired horizontally from a certain height. The question states that a bullet is fired horizontally with an initial velocity of 144.7 m/s from a tower 11 m high, and we need to assume air resistance is negligible. To find the horizontal distance, we first need to determine the time it takes for the bullet to reach the ground.

In the absence of air resistance, the horizontal motion of the bullet is at a constant velocity. Meanwhile, the vertical motion is influenced by gravity and can be calculated using the following kinematic equation for free fall:

t =√(2h/g)

Where:

t is the time in seconds

h is the height in meters

g is the acceleration due to gravity (approximately 9.81 m/s²)

Once we have the time, we can calculate the horizontal distance using the equation:

x = v * t

Where:

x is the horizontal distance

v is the horizontal velocity

t is the time

Applying these calculations:

t = √(2 * 11 m / 9.81 m/s²) = √(2.24 s²) = 1.497 s (approximately)

Then:

x = 144.7 m/s * 1.497 s = 216.5329 m (approximately)

Therefore, the bullet will travel approximately 216.5 meters horizontally before hitting the ground.

a piano has a mass of 185 kg, and the coefficient of friction between it and the floor is 0.39. What is the maximum force of friction between the piano and the floor?

707 N
523 N
1813 N
1208 N

Answers

The mass of the piano is 185 kg, therefore its weight is
W = (185 kg)*(9.8 m/s²) = 1813 N

The normal reaction force on the piano from the floor is N = 1813 N, according to Newton's 3rd Law.

The coefficient of friction between the piano and the floor is given as μ = 0.39.

By definition, the frictional force is
F = μN 
   = 0.39*1813
   = 707.07 N

Answer: 707 N

Calculate the speed of a proton that is accelerated from rest through an electric potential difference of 163 v. (b) calculate the speed of an electron that is accelerated through the same potential difference.

Answers

We could use the energy conservation:

      Kinetic energy = Potential energy
=> [tex] \frac{1}{2} [/tex] M [tex] v^{2} [/tex]   =  eV
where, M = mass of proton
            v = speed
            e = charge 
            V = potential difference through which it is accelerated

So, finding speed using the above equation:

v = [tex] \sqrt{\frac{2eV}{M}} [/tex]

Putting values,
v =  [tex] \sqrt{\frac{2 \times 1.6 \times 10^{-19} \times 163}{1.67 \times 10^{-27}}} [/tex]
v = 177.15 Km/s

Now, let  m  = mass of electron

So, Above we got the formula for the speed of proton accelerated through V.

For electron, just replace the mass M (proton) with m (electron) and that's it. Because V is same for both.

So, Speed of electron, v =  [tex] \sqrt{\frac{2eV}{m}} [/tex]

Putting values.

v =  [tex] \sqrt{\frac{2 \times 1.6 \times 10^{-19} \times 163}{9.1 \times 10^{-31}}} [/tex]

On solving
v = 7.56 x [tex] 10^{6} [/tex] m/s   or  7560 km/s


You are given the electric potential difference of a proton at 163V. You are asked to find the speed of a proton from rest and when moving but the same potential difference. Use the energy of photon equation.

from rest with potential difference of 163 V
E = 1/2 mv² = eΔV
v = √[tex] \sqrt{ \frac{2e(deltaV)}{ m_{p} } } = \sqrt{ \frac{2 * 1.6 x 10^{-19} *163 }{1.67 x 10^{-27} } } [/tex]
v = 176,730 m/s or 176.73 km/s

electron that is accelerated through the same potential difference
E = 1/2 mv² = eΔV
v = √[tex] \sqrt{ \frac{2e(deltaV)}{ m_{e} } } = \sqrt{ \frac{2 * 1.6 x 10^{-19} *163 }{9.11 x 10^{-31} } } [/tex]
v = 7566753 m/s = 7,566.8 km/s

A metal smith pours 3.00 kg of lead shot at 99oc into 1.00 kg of water at 25oc in an isolated container. what is the final temperature of the mixture?

Answers

The answer is in attachment.

A grocery cart with a mass of 15 kg is pushed at constant speed along an aisle by a force fp = 12 n which acts at an angle of 17° below the horizontal. find the work done by each of the forces on the cart if the aisle is 14 m long.

Answers

Given:

Mass of cart: 15kg

Aisle length = 14m

Angle = 17° below the horizontal

Force fp = 12 N

 

So, the solution would be like this for this specific problem:

 

1)    W(by applied force) = F(applied) x s x cosθ 
=>W(a) = 12 x 14 x cos17* = 160.66 J 

2)    By F(net) = F(applied) - F(friction) 
=>As v = constant => a = 0 => F(net) = 0 
=>F(applied) = F(friction) 
=>W(friction) = -F(friction) x s
=>W(friction) = -F(applied) x s 
=>W(f) = -12 x 14 x cos17* = -160.56 J 

3)    0, as the displacement is perpendicular to Force 

4)    0, as the displacement is perpendicular to Force  

To add, the force that is applied to an object by a person or another object is called the applied force.

You have developed a method in which a paint shaker is used to measure the coefficient of static friction between various objects and a known surface. the shaker oscillates with a fixed amplitude of 40 mm , but you can adjust the frequency of the motion. you have affixed a horizontal tabletop (the known surface) to the shaker so that the tabletop oscillates with it. then you put an object on the tabletop and increase the frequency until the object begins to slip on the surface. part a if a frequency f = 1.75 hz is required before a penny positioned on the tabletop starts to slide, what is the coefficient of static friction between penny and tabletop?

Answers

So we want find the coefficient of friction, which comes from F = (mu)*N, where F is the force of static friction, mu is the coefficient of friction and N is the normal force of the object. We can talk about how the penny would move after this force is reached with F = ma, where a is acceleration and m is the mass of the penny. The maximum acceleration of an oscillatory motion is a = Aω², where A is the amplitude and ω is the angular frequency. To turn ω into the regular frequency we're given, we can use ω = 2πf. Using this, our max acceleration becomes a = A(2πf)², which we can put into F=ma, so it becomes F = m(4Aπ²f²), then we can set it equal to F = (mu)N, so 4Amπ²f² = (mu)N. N, the normal force, will equal the weight force of the penny (draw a free body diagram), W = mg, where m is the mass of the penny and g is the gravitational constant (9.8m/s²). So N = W = mg, so we sub mg in for N, and we get 4Amπ²f² = (mu)mg, we solve for mu, cancelling our m's (good thing too since we don't know the mass of the penny) and we get mu = 4Aπ²f²/g, then we plug stuff in (convert mm to m by multiplying by 10⁻³) mu = 4(40*10⁻³)(3.14)²(1.75)²/(9.8) = 0.49 for our coefficient of friction. Lots of equations, but I hope that made sense!

The price at which a nations currency can be bought using another nations currency is known as
A. The rate of exchange
B.consumer advantage
C.globalization
D.currency trade

Answers

A) the rate of exchange (a.k.a the exchange rate)

Answer:

A. The rate of exchange

Explanation:

The starship enterprise returns from warp drive to ordinary space with a forward speed of 50 km/s. to the crew’s great sur- prise, a klingon ship is 100 km directly ahead, traveling in the same direction at a mere 20 km/s. without evasive action, the enterprise will overtake and collide with the klingons in just slightly over 3.0 s. the enterprise’s computers react instantly to brake the ship. what magnitude acceleration does the enterprise need to just barely avoid a collision with the klingon ship? assume the acceleration is constant.

Answers

Final answer:

The magnitude of the acceleration the Enterprise needs to just barely avoid a collision with the Klingon ship is 3.27 x 10^10 m/s^2.

Explanation:

To find the magnitude acceleration the Enterprise needs to just barely avoid a collision with the Klingon ship, we can use the impulse-momentum relation. The change in momentum can be determined by subtracting the initial momentum from the final momentum. The mass of the Enterprise is given as 2 x 10^9 kg. The initial momentum can be calculated by multiplying the mass of the Enterprise by its initial speed, and the final momentum can be calculated by multiplying the mass of the Klingon ship by its final speed. Using the formula for impulse, which is the change in momentum divided by the time interval, we can solve for the acceleration.

The initial momentum of the Enterprise is (2 x 10^9 kg) x (50 km/s) = 1 x 10^11 kg m/s. The final momentum of the Klingon ship is (100 km) x (20 km/s) = 2 x 10^8 kg m/s. The change in momentum is (2 x 10^8 kg m/s) - (1 x 10^11 kg m/s) = -9.80 x 10^10 kg m/s. The time interval is given as 3.0 s.

Using the formula for impulse, we have:

Force x Time Interval = Change in Momentum

Force = Change in Momentum / Time Interval

Force = (-9.80 x 10^10 kg m/s) / (3.0 s) = -3.27 x 10^10 N

The magnitude of the acceleration the Enterprise needs to just barely avoid a collision with the Klingon ship is 3.27 x 10^10 m/s^2. The negative sign indicates that the acceleration is in the opposite direction of the initial velocity of the Enterprise.

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To avoid the collision, the Enterprise needs an acceleration of approximately 2.22 km/s². This calculation involves initial speeds, distances, and applying the constant acceleration formula. The relative speed and distance are critical factors in determining the necessary braking acceleration.

To prevent a collision with the Klingon ship, we need to determine the magnitude of acceleration required by the starship Enterprise. Here’s a step-by-step breakdown:

The initial relative speed between the Enterprise and the Klingon ship: [tex]\Delta v = 50 km/s - 20 km/s = 30 km/s.[/tex]The distance to the Klingon ship:[tex]d = 100 km[/tex].The time to collision without evasive action:[tex]t = 3 s[/tex].Using the equation for constant acceleration: [tex]d = v_i * t + 0.5 * a * t^2[/tex]. Here, d is the distance, v_i is the initial speed, a is acceleration, and t is time.Since the Enterprise needs to stop before reaching 100 km, [tex]v_i * t[/tex] must be subtracted from d:

[tex]100 km = (30 km/s) * 3 s + 0.5 * a * (3 s)^2[/tex]

Simplifying the equation:

[tex]100 km = 90 km + 4.5a[/tex]

Solve for a:

[tex]10 km = 4.5a[/tex]

[tex]a = - (10 km) / (4.5 s^2) = -2.22 km/s^2[/tex]

Thus, the magnitude of the required acceleration is approximately 2.22 km/s².

What is the mass, in kilograms, of an avogadro's number of people, if the average mass of a person is 150 lb ?

Answers

First step is to convert the lb to kg as follows:
1 lb = 0.45 kg
Therefore, 150 lb = 150 x 0.45 = 67.5 kg

Avogadro's number = 6.02 x 10^23

Mass of Avogadro's number of people = 6.02 x 10^23 x 67.5  
                                                              = 4.0635 x 10^25 kg

Battery life is what distinguishes one type of mobile computer from another.

Answers

I think the statement is false. It is not only the battery life that would distinguish one type of mobile computer from another. There are other aspects that would characterize every mobile computer. It could be the brand, the size, the operating system, the hardware specifications like the RAM, processor and the video card. Every mobile computer would vary depending on the brand, model and intended use.

The common balance works on the principle of equality of

Answers

Balance is the equal distribution of weight. In design the weight is visual.
The common balance works on the principle of equality of the moment of weight. Equilibrium is attained when the weights are balanced. 

Answer:

HAve two arms suspended and one known weight

Explanation:

the common balance is a balance that we all have seen in examples of Justice, it was well known in the old times, but nowadays its more common seeing it as a jsutice symbol, it works in the principle of having two weights accross a balance and letting gravity work on them, while you have an object on one side of the balance of which you know the mass and you add mass to the object in the othar side of the balance to equalize the weights.

A certain automobile manufacturer claims that its super-deluxe sports car will accelerate from rest to a speed of 42.3 m/s in 8.02 s. find the acceleration of the car. assume that the acceleration of the car is constant. answer in units of m/s 2 .

Answers

acceleration equals change in velocity divided by time taken

Answer:

5.27 m/s²

Explanation:

Given data

Initial velocity (v₀): 0 m/s (rest)Final velocity (vf): 42.3 m/sElapsed time (t): 8.02 sAcceleration (a): ?

We can determine the acceleration of the car using the following kinematic expression.

a = Δv / t

a = vf - v₀ / t

a = (42.3 m/s - 0 m/s) / 8.02 s

a = 5.27 m/s²

The acceleration of the car is 5.27 m/s².

Efforts to relate gamma-ray bursts with specific sources has had what results so far?

Answers

X-rays are high energy electrons that can cause damage when exposed under extreme conditions. The best technology that can block it is using a lightweight type of metal foam. It can take in high energy collisions which also exhibits high forces. it does not only block x-rays but also, neutron radiation and gamma rays. A gamma ray primarily consists of pure energy and no mass is true. In fact it consists of high energy photons and massless. They have no charge and when exposed to any kind of material, it just passes through as if nothing is blocking it.

A fish swimming in a horizontal plane has velocity v with arrowi = (4.00 i + 1.00 j) m/s at a point in the ocean where the position relative to a certain rock is r with arrowi = (12.0 i − 2.00 j) m. after the fish swims with constant acceleration for 17.0 s, its velocity is v with arrow = (23.0 i − 1.00 j) m/s. (a) what are the components of the acceleration of the fish? ax = m/s2

Answers

To determine the acceleration of the fish, we use one of the kinematic equation which relates velocity and acceleration. Using the given velocities, we substitute it to the equation. As we see, the velocities include their directions where i represents the x direction and j represents the y direction. We do as follows:

a = (v-vi) / t
a = [ (20.0 i - 5.00 j) - (4.00 i + 1.00 j)] / 23
Combining like terms,
a = [16i - 6j] / 23
TO determine the components of the acceleration, we do as follows:
 
ax = 16.0/23.0 m/s2 = 0.70 m/s^2 ( to the right)
ay = -6.0/23.0 m/s2  = -0.26 m/s^2 ( accelerating down)

Final answer:

To find the acceleration components of the fish, the change in velocity components is divided by the time interval. The x-component is 1.12 m/s² and the y-component is -0.12 m/s².

Explanation:

The student is asking how to calculate the components of acceleration given the initial and final velocity of a fish over a certain time period. To find the acceleration components, we use the formula a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time over which the change occurred. For the x-component: ax = (23.0 m/s - 4.00 m/s) / 17.0 s = 1.12 m/s². For the y-component: ay = (-1.00 m/s - 1.00 m/s) / 17.0 s = -0.12 m/s².

Two children standing on opposite sides of a merry-go-round are trying to rotate it. they each push in opposite directions with forces of magnitude 10.2 n. (a) if the merry-go-round has a mass of 180 kg and a radius of 1.8 m, what is the angular acceleration of the merry-go-round? (assume the merry-go-round is a uniform disk.)

Answers

Final answer:

The angular acceleration of the merry-go-round can be found using Newton's second law for rotation and the moment of inertia. To calculate the total moment of inertia, we can approximate the child as a point mass and add it to the moment of inertia of the merry-go-round which is 1.8

Explanation:

The angular acceleration of the merry-go-round can be found using Newton's second law for rotation which states that the torque is equal to the moment of inertia times the angular acceleration. In this case, the torque is equal to the product of the force applied by each child and the radius of the merry-go-round. The moment of inertia of the merry-go-round can be found using the equation [tex]I = 1/2 * MR^2,[/tex] where M is the mass and R is the radius of the merry-go-round.  

Thus,

F = m a

a = F / m

a = 10.2 N / 180 kg

[tex]a = 0.057 m / s^2[/tex]

The relationship between angular velocity (a) and angular velocity (ω) is:

w = a / r

[tex]w = (0.057 m / s^2) / 1.8 m[/tex]

[tex]w = 0.031 rad / s^2[/tex]

To get an answer in terms of degrees per s^2, we multiply it with the conversion factor = 180˚ / π

[tex]w = (0.031 rad / s^2) (180 / \pi rad)[/tex]

[tex]w = 1.8 / s^2[/tex]

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PLEASE GO ANSWER MY 3 MOST RECENT QUESTION I NEED HELP!!!!!!!!!!!!!!
3. Compare how a positively charged object and a negatively charged object interact with a neutral object.

4. What happens to the composition of an atom to cause it to become positively or negatively charged?

5. If you rub a balloon on a piece of fabric or carpeting and then hold it against your head, your hair can stand on end. Use what you have learned in this lesson to explain why this happens

Answers

Positive or negative charged will induce a dipole on the neutral charge, causing it to attract to either charge. Adding protons to an atom causes positive charge and adding electrons to an atom adds negative charge. Your hair and the gallon are naturally charged, so they induce a dipole in each other and cause themselves to mutually attract. Inducing a dipole is when a neutral charge has some of its positive or negative charges dragged to one side creating net positive charge on one side and net negative charge on the other.

Bright white shadings on infrared images indicate cloud tops that have relatively ________ temperatures

Answers

Infrared is created by detecting the produced radiation coming off of clouds. The temperature of the cloud will define the wavelength of radiation produced from the cloud. The benefit of the infrared imagery is that can be used day and night to conclude the temperature of the cloud tops and earth surface structures and to get the general idea of how clouds are. Based on the general guidelines to define cloud features, if the cloud is bright white on infrared then it is a high cloud or has a cloud top that is developed high into the troposphere. In this way infrared images actually display patterns of temperature on a gray scale such that at one extreme dark gray is warm and at the other extreme bright white is cold. A color scale is used to portray temperature and some improved infrared images show two or more gray scale sequences. High cold clouds are brighter white than low warm clouds.

Which of these should you not do when merging onto a freeway? A. Select a gap large enough to fit your vehicle. B. Change lanes smoothly. C. Change two lanes at once and speed up. D. Adjust your speed to create a safe following interval.

Answers

the answer is C. change two lanes at once and speed up.

A test rocket is launched vertically from ground level (y = 0 m), at time t = 0.0 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 49 m and acquired a velocity of 30m/s. How long did the burn phase last?

Answers

The important thing to note here is the direction of motion of the test rocket. Since it mentions that the rocket travels vertically upwards, then this motion can be applied to rectilinear equations that are derived from Newton's Laws of Motions.These useful equations are:

y = v₁t + 1/2 at²
a = (v₂-v₁)/t

where
y is the vertical distance travelled
v₁ is the initial velocity
v₂ is the final velocity
t is the time 
a is the acceleration

When a test rocket is launched, there is an initial velocity in order to launch it to the sky. However, it would gradually reach terminal velocity in the solar system. At this point, the final velocity is equal to 0. So, v₂ = 0. Let's solve the second equation first.

a = (v₂-v₁)/t
a = (0-30)/t
a = -30/t

Let's substitute a to the first equation:
y = v₁t + 1/2 at²
49 = 30t + 1/2 (-30/t)t²
49 = 30t -15t
49 = 15 t
t = 49/15
t = 3.27 seconds

At a certain temperature, a 29.5-l contains holds four gases in equilibrium. their masses are: 3.5 g so3, 4.6 g so2, 22.6 g n2, and 0.98 g n2o. what is the value of the equilibrium constant at this temperature for the reaction of so2 with n2o to form so3 and n2 (balanced with lowest whole-number coefficients)?

Answers

Kc = conc. products/ conc. reactants Check their mole ratios: Equation: SO2(g) + N2O(g) ⇌ SO3(g) + N2(g) All 1:1 ratios, so Kc = [SO3][N2]/[SO2][N2O] Moles: 4.6g SO2 x 1 mol SO2/ 64.066g = 0.0718 moles SO2 0.98g N2O x 1 mol N2O/ 44.0g = 0.0223 moles N2O 3.5g SO3 x 1 mol SO3/ 80.1g = 0.0437 moles SO3 16.8g N2 x 1 mol N2/ 28.0g = 0.600 moles N2 Concentrations: 0.0718 mol/ 22L = 3.26 x 10^-3 M SO2 0.0223 mol/ 22L = 1.01 x 10^-3 M N2O 0.0437 mol/ 22L = 1.99 x 10^-3 M SO3 0.600 mol/ 22L = 2.73 x 10^-2 M N2 Kc = (1.99x10^-3)(2.73x10^-2)/(1.01x10^-3)(3.... = 16.5

The equilibrium constant for the reaction of SO2 with N2O to form SO3 and N2 is approximately 22.2.

The given problem involves finding the equilibrium constant for the reaction of SO2 with N2O to form SO3 and N2. The balanced chemical equation is:

SO2 (g) + N2O (g) ↔ SO3 (g) + N2 (g)

First, we need to calculate the number of moles of each gas using their masses and molar masses:

[tex]\text{Molar mass of }SO_2: 64.07 g/mol\\\text{Molar mass of }SO3: 80.07 g/mol\\\text{Molar mass of }N_2: 28.02 g/mol\\\text{Molar mass of }N_2O: 44.01 g/mol[/tex]

Using the formula: moles = mass / molar mass, we find:

[tex]\text{Moles of }SO_2 = 4.6 g / 64.07 g/mol = 0.0718 mol\\\text{Moles of }SO_3 = 3.5 g / 80.07 g/mol = 0.0437 mol\\\text{Moles of }N_2 = 22.6 g / 28.02 g/mol = 0.8065 mol\\\text{Moles of }N_2O = 0.98 g / 44.01 g/mol = 0.0223 mol[/tex]

The equilibrium constant expression, [tex]K_c[/tex], for the reaction is:

[tex]K_c = [SO_3][N_2] / [SO_2][N_2O][/tex]

In a 29.5 L container, the concentrations of each gas are:

[tex]SO_2= 0.0718 mol / 29.5 L = 0.00243 M\\SO_3 = 0.0437 mol / 29.5 L = 0.00148 M\\N_2 = 0.8065 mol / 29.5 L = 0.0273 M\\N_2O= 0.0223 mol / 29.5 L = 0.000756 M[/tex]

Now substitute these concentrations into the equilibrium expression:

[tex]Kc = (0.00148 M) \times (0.0273 M) / (0.00243 M) \times (0.000756 M)\\Kc = 22.2[/tex]

Cl is highly reactive you would expect NaCl to
Have similar properties
Be highly reactive
To have completely different properties
Take on some of the properties of Cl

Answers

Although it might be true that the chemical identity of Cl (Chlorines) is known to be highly reactive, but when it combines with another element, it loses its former chemical identity. This means that Cl and NaCl would definitely have different chemical identities and therefore different reactivities. Another great example would be O (Oxygen). It is a gas in its natural state when alone but then it becomes a liquid when combined with H (Hydrogen) to form what we called water (H2O). Therefore the correct answer among the choices would be:

Cl is highly reactive you would expect NaCl “To have completely different properties”.

A 100 N force pulls a box horizontally across a floor for 2 m. How much was done by the force of gravity (which pulls straight down on the box)?

Answers

The work done by the force of gravity will be 200 J.

What is work done?

Work done is defined as the product of applied force and the distance through which the body is displaced on which the force is applied.

Work may be zero, positive and negative. it depends on the direction of the body displaced. if the body is displaced in the same direction of the force it will be positive.

The given data in the problem is;

F is the force applied = 100 N

d is the displacement =  2 m

W is the work done

The done by the force of gravity will be ;

W = F × d

W= 100 N × 2 m

W = 200 Nm

W = 200 J

Hence, the work done by the force of gravity will be 200 J.

To learn more about the work done refer to the link ;

https://brainly.com/question/3902440

#SPJ2

Suppose you are an astronaut and you have been stationed on a distant planet. you would like to find the acceleration due to the gravitational force on this planet so you devise an experiment. you throw a rock up in the air with an initial velocity of 11 m/s and use a stopwatch to record the time it takes to hit the ground. if it takes 7.0 s for the rock to return to the same location from which it was released, what is the acceleration due to gravity on the planet?

Answers

Answer: g = -3.143 m/s²

Explanation: To determine acceleration due to the gravitational force, it can be used the following formula:

v = v₀ + gt, where:

v₀ is the initial velocity;

g is acceleration due to gravity

t is the time to return to the point of origin

When the rock return to the point of origin, there is no velocity, so v = 0.

The time to go up is the same to go down, so t = [tex]\frac{t}{2}[/tex] = [tex]\frac{7}{2}[/tex].

Substituing in the formula:

v = v₀ + gt

0 = 11 + g.[tex]\frac{7}{2}[/tex]

g = [tex]\frac{(0 - 11).2}{7}[/tex]

g = - 3.143

The acceleration due to the gravitational force is g = - 3.143 m/s².

With the switch closed, how does the voltage across the 20-ω resistor compare to the voltage across the 10-ω resistor?

Answers

In electricity, the most famous and basic equation is the Ohm's Law which relates the parameters voltage, current and resistance. One form of this law as written in equation is V = IR, where V is the voltage in volts, I is the current in amperes and R is the resistance in ohms. These parameters depends in the arrangements, whether it's series or parallel.

In a series connection, the voltage is greater across a high-resistance resistor. Therefore, the voltage is much greater for the 20-ohm resistor. However,if it is a parallel circuit, the voltage is just the same for both resistors.

What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 35.0 cm?

Answers

First, you find the pressure experience by the car at that depth. This pressure is called the hydraulic pressure with the equation: P=density*gravity*depth. The density of water is 1000 kg/m^3; the acceleration due to gravity is 9.81 m/s^2. So, we need a value for the depth. Suppose, the car was underwater 6 m deep. Then the pressure would be:

Pressure = 1000 kg/m3*9.81 m/s^2*6m = 58,860 Pascals

Pressure, by definition, is the force over unit area. Since we know the are of the circular window, we can therefore determine the force exerted by the water to the car's window.

P =F/A
P=F/(π*(0.35/2)^2)
58,860 = F/0.0962
F = 5,663 Newtons
Final answer:

To calculate the force exerted by the water on the window of an underwater vehicle at a certain depth, use the formula Force = Pressure x Area. Calculate the pressure using the formula Pressure = Density x Gravity x Depth. Calculate the area using the formula Area = π x (radius)^2.

Explanation:

The force exerted by the water on the window of an underwater vehicle at a certain depth can be calculated using the formula:

Force = Pressure x Area

The pressure exerted by water at a given depth is given by the formula:

Pressure = Density x Gravity x Depth

Using the given diameter of the window, you can calculate the area of the window by using the formula for the area of a circle:

Area = π x (radius)^2

By substituting the values into the formulas and calculating, you can find the force exerted by the water on the window.

The position of a 55 g oscillating mass is given by x(t)=(2.0cm)cos(10t), where t is in seconds. determine the velocity at t=0.40s

Answers

For this problem, we combine the concepts learned in physics and in calculus. The velocity, by definition, is the total distance travelled per time elapsed. It can also be expressed in Δx/Δt, This is also a definition in calculus where dx/dt is equal to velocity. Therefore, to solve the velocity, differentiate the equation in terms of t.

x = 2 cos(10t)
dx/dt = 2*(-sin(10t))*(10)
dx/dt = -20sin (10t)

We are asked to find the velocity at 0.40 seconds. Thus, we substitute t = 0.40 to the equation

dx/dt = -20sin(10*0.4)
dx/dt = v = -1.395 m/s

Therefore, the velocity at t=0.04 seconds is -1.395 m/s. The negative sign connotes that the direction of the motion is south or to the left based on the sign convention.

The velocity of the oscillating mass at time [tex]t = 0.40\,{\text{s}}[/tex] is [tex]\boxed{15\times{10^{-2}}\,{\text{m/s}}}[/tex] or [tex]\boxed{15\,{\text{cm/s}}}[/tex] or [tex]\boxed{0.15\,{\text{m/s}}}[/tex].

Further explanation:

Velocity of a particle or a mass at any instant is defined as the rate of change of position of particle with respect to time.  

Mathematically,

[tex]V\left( t \right) = \dfrac{d}{{dt}}\left( {X\left( t \right)} \right)[/tex]

If position of a particle or mass is a function of time then velocity of mass at any instant will change with respect to time.

Given:

The position of an oscillating mass varies according to the function  [tex]X(t)=({2.0\text{ cm}}})\cos({10t})[/tex].

Mass of an oscillating object is [tex]55\text{ g}[/tex].

Concept:

The velocity of mass at any instant is calculated by using the following relation

[tex]\begin{aligned}V(t)&=\frac{{dX\left( t \right)}}{{dt}}\\&=\frac{d}{{dt}}\left[{\left( {2.0{\kern 1pt} {\text{cm}}} \right)\cos \left( {10t} \right)} \right]\\&=-\left( {20\,{\text{cm/s}}}\right)\sin\left( {10t}\right)\\\end{aligned}[/tex]

Therefore the velocity of the mass at any instant is given by

[tex]V\left( t \right)=-\left( {20{\kern 1pt} {\text{cm/s}}} \right)\sin \left( {10t} \right)[/tex]                                                                          

From the above expression of velocity it can be observed that velocity is changing with time according to the sin function.

Substitute [tex]0.40\,{\text{s}}[/tex] for t in the above expression

[tex]\begin{aligned}V\left( {0.4\,{\text{s}}} \right)&=-\left( {20\,{\text{cm/s}}} \right)\sin \left( 4 \right)\\&=-\left( {20\,{\text{cm/s}}} \right)\left( { - 0.757} \right)\\&=15.14\,{\text{cm/s}}\\\end{aligned}[/tex]

 

Thus, the velocity of the oscillating mass at time [tex]t = 0.40\,{\text{s}}[/tex] is [tex]\boxed{15\times{10^{-2}}\,{\text{m/s}}}[/tex] or [tex]\boxed{15\,{\text{cm/s}}}[/tex] or [tex]\boxed{0.15\,{\text{m/s}}}[/tex].

Learn More:

1.  The units expressing the rotational velocity https://brainly.com/question/2887706

2.  Find the vertical displacement as a function of time https://brainly.com/question/2887706

3. A remote controlled car is moving in a vacant parking lot https://brainly.com/question/2005478

Answer Details:

Grade: College

Subject: Physics

Chapter: Force

Keywords:

position, oscillating, 55 g, mass, time, x(t)=(2.0cm)cos(10t), t=4 s, determine, velocity, 15 cm/s, 0.15 m/s, rate, change in position.

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