A wheel has eight spokes and a radius of 30 cm. It is mounted on a fixed axle and is spinning at 2.5 rev/s. You want to shoot a 24- cm arrow parallel to this axle and through the wheel without hitting any of the spokes Assume that the arrow and the spokes hitting any of the spokes. Assume that the arrow and the spokes are very thin. (a) What minimum speed must the arrow have to pass through (a) What minimum speed must the arrow have to pass through without contact

Answers

Answer 1

Answer:

4.8 m/s

Explanation:

Given: angular velocity of wheel ω = 2.5 rev/sec

radius r = 30 cm

length of arrow = 24 cm

For arrow to pass through spinning ring it has to pass between any two spokes of the wheel.

angle between two spokes = π/4

time taken by a spook to reach the position of adjacent spoke t =θ/ω

=  π/4/(2.5×2π) = 1/20 sec

for the arrow to pass through the spokes of the wheel it should take time t <1/20 sec to pass through the wheel

a) therefore, minimum speed = (24/100)/(1/20) = 4.8 m/s


Related Questions

When played properly, this instrument makes sounds. The instrument makes sounds directly because of which action in the wire? I think its Vibration i dont know

Answers

Answer : Yes it’s vibration

Determine the direction of the force on a charge.

a. along the line between the charge and the center of the square outward of the center
b. along the side of the square outward of the other charge that lies on the side
c. along the line between the charge and the center of the square toward the center
d. along the side of the square toward the other charge that lies on the side

Answers

Answer:

hi your question is incomplete below is the complete question

A charge of 2.15 mC is placed at each corner of a square 0.500 m on a side. Determine the direction of the force on a charge.

answer : Along the line between the charge and the center of the square outward of the center ( A )

Explanation:

The direction of the force on a charge is along the line between the charge and the center of the square outward of the center

Given that; Fnet = 3.17 * 10^-1 N ( calculated value )

The nature of the Force is repulsive in nature

attached below is a Pictorial representation of the direction of the force on a charge

What makes a 10 year old girl perfect?

Answers

Answer:

kindness

Explanation:

Which two waves combine to form a surface wave?


a transverse wave and a light wave

two transverse waves

two longitudinal waves

a transverse wave and a longitudinal wave

Answers

Answer:

i beilieve that the answer is a transverse wave and a longitudinal wave

Explanation:

i dont really have an explanation

The two waves combine to form the surface wave will be the transverse wave and the longitudinal waves.

What are surface waves?

Surface waves are generated from the point of the earthquake inside the earth. There are generally three types of waves are generated primary, secondary, and surface waves.

Now this surface wave is the slowest wave which reach to the surface of earth very slowly and is the most destructive wave.

The surface waves travel both in the vertical as the well horizontal direction along their direction of flow.

An example of surface waves is the car park in the parking that goes up down just like the waves in the oceans.

Thus the two waves combine to form the surface wave will be the transverse wave and the longitudinal waves.

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(a) A simple pendulum oscillates back and forth on a space vehicle. An astronaut on the space vehicle measures the period of the pendulum to be 22.58 seconds (it is a big pendulum). A passing observer in another space ship measures the period to be 31.87 seconds. Determine the relative velocity between the two observers. Show all calculation steps.​

Answers

Answer:

0.706

Explanation:

Since the other astronaut measures a longer time, this is a time dilation problem. So, our equation for time dilation is given by

T = T₀/√(1 - β²) where T = period on passing space ship = 31.87 s, T₀ = period on other space vehicle = proper time = 22.58 s and β = relative velocity of between the two observers.

T = T₀/√(1 - β²)

√(1 - β²) = T₀/T

squaring both sides, we have

[√(1 - β²)]² = (T₀/T)²

1 - β² = (T₀/T)²

β² = 1 - (T₀/T)²

taking square root of both sides, we have

√β² = √[1 - (T₀/T)²]

β = √[1 - (T₀/T)²]

substituting the values of the variables into the equation, we have

β = √[1 - (22.58 s/31.87 s)²]

β = √[1 - (0.7085)²]

β = √[1 - 0.502]

β = √0.498

β = 0.706

Naming covalent compounds
P4S5

Answers

Answer:

what the heck is sakurfa

Explanation:

difference between concave and convex lens​

Answers

Answer:

convex lens:converging lens

focal length:positive

magnification; positive

concave lens:diverging lend

focal length:negative

magnification :negative

types:concavoconcave,planoconcave

A convex lens or converging lens focuses the light rays to a specific point whereas a concave lens or diverging lens diverges the light rays. A lens is a transparent material (either curved or flat surface) based on the principles of refraction. Concave lenses and convex lenses are often used together which is known as the Concave – Convex lens. When these lenses are combined, they produce sharper images. Most of the eyeglass lenses use combinations of convex and concave lenses. Cameras, telescopes and microscopes use different lens, helping us to see the world in a better

Read it and make it as table.

How much heat is needed to warm 365 mL of water in a baby bottle from 240C to 38C

Answers

Answer:98.6 degrees Fahrenheit

Explanation:

Ways if improving soil fertility

Answers

Answer:

Soil fertility can be further improved by incorporating cover crops that add organic matter to the soil, which leads to improved soil structure and promotes a healthy, fertile soil; by using green manure or growing legumes to fix nitrogen from the air through the process of biological nitrogen fixation; by micro-dose ........

Answer:

Continuous cultivation of water intensive crops like sugarcane and rice has resulted in their water tables running low at 149 percent. Alternating crops with millet, which consumes less water and has a high nutritional value, can increase the soil fertility and balance nutrients present in it.Apr 19, 2019

Explanation:

pls mark me as a brainlist

hope my answer is helpful

A cold block of metal feels colder than a block of wood at the same temperature. Why? A hot block of metal feels hotter than a block of wood at the same temperature. Again, why? Is there any temperature at which the two blocks feel equally hot or cold? What temperature is this?

Answers

: In general, metals feel colder or hotter to the touch than other materials at the same temperature because they're good thermal conductors. This means they easily transfer heat to colder objects or absorb heat from warmer objects

It is because the metal conducted heat faster than it feels colder than the wood, which conducted heat slower. Even tho they are similar temperatures. The metal will feel colder than the wood because of the thermal conductivity of the metal, compared to the wood.  

The coefficient of linear expansion of lead is 29 x 10 K What change in temperature will cause a 5-m long lead bar to change in length by 3.0 mm?

Answers

Answer:

These linear thermal expansion coefficients are room temperature values of metals. Linear thermal expansion coefficient is defined as material's fractional change in length divided by the change in temperature.

Explanation:

The change in temperature caused is 0.0000207 K.

To calculate the change in temperature we use the formula of linear expansivity below.

⇒ Formula:

∝ = ΔL/(LΔT).................. Equation 1

⇒ Where:

∝ = Coefficient of linear expansionΔL = Change in lengthL = Original lengthΔT = Change in Temperature.

⇒ Make ΔT the subject of the equation

ΔT = ΔL/(∝L)................ Equation 2

From the question,

⇒ Given:

∝ = 2.9×10 K⁻¹ΔL = 3 mm = 3×10⁻³ mL = 5 m

⇒ Substitute these values into equation 2

ΔT = (3×10⁻³)/(29×5)ΔT = 0.003/145ΔT = 0.0000207 K

Hence, the change in temperature caused is 0.0000207 K

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When antimatter interacts with an equal mass of ordinary matter, both matter and antimatter are converted completely into energy, in the form of photons. In an antimatter-fueled spaceship, a staple of science fiction, the newly created photons are shot from the back of the ship, propelling it forward. Suppose such a ship has a mass of 2.00×10^6kg, and carries a mass of fuel equal to 4% of its mass, or 4.00×10^4kg of matter and an equal mass of antimatter.

Required:
What is the final speed of the ship, assuming it starts from rest, if all energy released in the matter-antimatter annihilation is transformed into the kinetic energy of the ship?

Answers

Answer:

  v = 5.88 10⁷ m / s

Explanation:

For this exercise we use the relation

          E = m c²

also indicate that all energy is converted into kinetic energy

          E = K = ½ (M-2m) v²

where m is the mass of antimatter and M is the mass of the ship's mass. Factor two is due to the fact that equal amounts of matter and antimatter must be combined

we substitute  

         m c² = ½ (M-2m) v²

        v² = [tex]2 \frac{m}{M+2m} \ c^2[/tex]

         

let's calculate

        v = [tex]\sqrt{2 \ \frac{4 \ 10^4 }{2 \ 10^6 + 2 \ 4 \ 10^4} \ (3 \ 10^8)^2}[/tex]

         v = [tex]\sqrt{ 34.615 \ 10^{14}}[/tex]

        v = 5.88 10⁷ m / s

Below are the ingredients of photosynthesis. Organize them to show what is used and what is produced
during this process.

carbon dioxide
water
oxygen
glucose
sunlight

_____plus_____in the presence of_____result in_____plus_____

Answers

Answer:

carbon dioxide plus water in the presence of energy from light, results in glucose plus oxygen

The process is like carbon dioxide plus water in the presence of sunlight result in glucose plus oxygen.

What is photosynthesis?

Photosynthesis is a process that plants and other organisms use to convert light energy into chemical energy that can then be released to fuel the organism's activities via cellular respiration.

Photosynthesis is important because it is the process by which plants convert carbon dioxide into oxygen using sunlight. Animals require oxygen to survive, and plants serve as nature's air filter, filtering out harmful carbon dioxide.

Photosynthesis is the conversion of light energy by phototrophs into chemical energy, which is then used to power cellular activities. Sugars, which are formed from water and carbon dioxide, are used to store chemical energy.

The process of photosynthesis includes:

[tex]6CO_2+6H_2O \frac{Sunlight}{chlorophyll} > C_6H_1_2O_6+6O_2[/tex]

Thus, this is the basic process of photosynthesis.

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Why do we experience winter during the time the Earth is closest to the sun’s heat.

Answers

Answer:

Because the earth's axis is tilted. ... It is all about the tilt of the Earth's axis. Many people believe that the temperature changes because the Earth is closer to the sun in summer and farther from the sun in winter. In fact, the Earth is farthest from the sun in July and is closest to the sun in January

A truck is traveling on a level road. The driver suddenly applies the brakes, causing the truck to decelerate by an amount g/2. This causes a box in the rear of the truck to slide forward. If the coefficient of sliding friction between the box and the truckbed is 2/5, find the acceleration of the box relative to the truck and relative to the road.

Answers

Answer:

Truck [tex]\dfrac{g}{10}[/tex]

Road [tex]-\dfrac{g}{10}[/tex]

Explanation:

[tex]a_1[/tex] = Acceleration of truck = [tex]-\dfrac{g}{2}[/tex]

[tex]\mu[/tex] = Coefficient of friction = [tex]\dfrac{2}{5}[/tex]

Frictional force is given by

[tex]f=-\mu mg\\\Rightarrow f=-\dfrac{2}{5}mg\\\Rightarrow ma_2=-\dfrac{2}{5}mg\\\Rightarrow a_2=-\dfrac{2}{5}g[/tex]

Net acceleration is given by

[tex]a=a_2-a_1\\\Rightarrow a=-\dfrac{2}{5}g+\dfrac{g}{2}\\\Rightarrow a=\dfrac{g}{10}[/tex]

The acceleration of the box relative to the truck is [tex]\dfrac{g}{10}[/tex] and [tex]-\dfrac{g}{10}[/tex] relative to the road.

define projectile in your own .​

Answers

Answer:

a body which was thrown in space ,moves under the influence of gravity only is defined as projectile.

Answer:

projectile is defined as a body thrown in space , moves under the influence of gravity .

hope it is you

500 J of work is used to decrease the angular velocity of a disk from 65 rad/s to 52 rad/s.What is the rotational inertia of the disk?

Answers

Answer:

The correct answer is "0.66 kg.m²".

Explanation:

The given values are:

K.E = 500 J

w₁ = 65 rad/s

w₂ = 52 rad/s

As we know,

⇒  [tex]K.E=\frac{1}{2}I[w_1^2-w_2^2][/tex]

then,

⇒  [tex]I=\frac{2(K.E)}{w_1^2-w_2^2}[/tex]

On putting the given values, we get

⇒     [tex]=\frac{2\times 500}{(65)^2-(52)^2}[/tex]

⇒     [tex]=\frac{1000}{4225-2704}[/tex]

⇒     [tex]=\frac{1000}{1521}[/tex]

⇒     [tex]=0.66 \ kg.m^2[/tex]

a rocket sled decelerates from 400m/s to 0 in 5 seconds. Calculate the acceleratio

Answers

Answer:

80m/s2

Explanation:

a = v-u/ t

=>a = 0- 400/ 5

= -400/5

= -80m/s2

v- sign is negligible

How does the presence of a nucleus provide a method of basic cell classification?

Answers

Answer:D.

Explanation:

5. A 6.0-kilogram mass is moving with a speed of 2.0 m/s. What is the kinetic energy of the mass?

Answers

Answer:

K.E. = ½ × mv²

= ½ × 6 × (2)²

= ½ × 6 × 4

= 3 × 4

= 12 J

Which of the following statements is true concerning the induced current in a coil of wire for a magnet approaching or moving away from the coil?

a. The induced magnetic field repels an approaching magnet.
b. The induced magnetic field attracts a departing magnet.
c. The induced magnetic field always opposes the motion of the magnet.
d. All of the above statements are correct.

Answers

Answer:

c

Explanation:

it is c because I hade got it right

An iron wire has a length of 1.50 m and a cross sectional area of 0.290 mm2. If the resistivity of iron is 10.0 ✕ 10−8 Ω · m and a potential difference of 0.700 V is maintained across its length, determine the current in the wire (in A).

Answers

Answer:

1.35 A

Explanation:

Applying,

V = IR

I = V/R..................... Equation 1

I = Current, V = Voltage, R = Resistance.

But,

R = Lρ/A............... Equation 2

Where L = Length of the wire, ρ = resistivity, A = Cross-sectional area of the wire.

Sustitute equation 2 into equation 1

V = AV/Lρ............... Equation 3

From the question,

Given: V = 0.7 V, A = 0.290 mm² = 2.9×10⁻⁷ m², L = 1.5 m, ρ = 10×10⁻⁸ Ω.m

Substitute these values into equation 3

I = (0.7× 2.9×10⁻⁷)/(1.5× 10×10⁻⁸ )

I = (2.03×10⁻⁷)/(15×10⁻⁸)

I = 1.35 A

help fast lol- sience!!! giving brainliest answer too!

Answers

Answer:

I think it's C. Long root systems to reach water deep underground.

Answer:

C

stilt roots provide extra support

If F = force, which equation illustrates the Law of Conservation of Momentum?
A) F1 = F2
B) F1 = - F2
C) - F1 = -F 2
D) F1 + - F2 = F3

Answers

Answer:

b

Explanation:

f1=-f2 that could be thank u

15 points!

a. Calculate the electric potential energy stored in a 1.4 x 10-7 F capacitor
that stores 3.40 x 10-6 C of charge at 24.0 V.

Answers

Answer:

[tex]4.12\times 10^{-5}\ J[/tex].

Explanation:

Given that,

Capacitance, [tex]C=1.4\times 10^{-7}\ F[/tex]

Charge stored in the capacitor, [tex]Q=3.4\times 10^{-6}\ C[/tex]

We need to find the electric potential energy stored in the capacitor. The formula for the electric potential energy stored in the capacitor is given by :

[tex]E=\dfrac{Q^2}{2C}[/tex]

Put all the values,

[tex]E=\dfrac{(3.4\times 10^{-6})^2}{2\times 1.4\times 10^{-7}}\\\\=4.12\times 10^{-5}\ J[/tex]

So, the required electric potential eenergy is equal to [tex]4.12\times 10^{-5}\ J[/tex].

Particles q1, 92, and q3 are in a straight line.
Particles q1 = -1.60 x 10-19 C, 92 = +1.60 x 10-19 C,
and q3 = -1.60 x 10-19 C. Particles qi and q2 are
separated by 0.001 m. Particles q2 and q3 are
separated by 0.001 m. What is the net force on q2?

Answers

Answer: 0

Explanation: Acellus

The charge q2 is kept in between the  charges q1 and q3. The net force on charge q2 is zero.

What is force?

The force is the action of push or pull in order to move or stop the object.

Given, q1 = -1.60 x 10⁻¹⁹ C, q2 = +1.60 x 10⁻¹⁹ C, and q3 = -1.60 x 10⁻¹⁹ C. Particles q1 ,q2 and q2 , q3 are separated by d =0.001 m.

Net electrostatic force on q2 will be

F12 =F23

k q1 q2 / d² = kq2 q3 /d²

q1 q2 = q2 q3

Substitute the values of forces, we get

1.60 x 10⁻¹⁹ x 1.60 x 10⁻¹⁹  =  1.60 x 10⁻¹⁹ x 1.60 x 10⁻¹⁹  

1 =1

The net force F12 - F23 =0

Thus, the net force on q2 is zero.

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What type of force is F-?

Answers

Answer:

Frictional Force

Explanation:

i think so

the answer is F- is fractional force

Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 167 cm , but its circumference is decreasing at a constant rate of 13.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 1.00 T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.
(a) Find the emf induced in the loop at the instant when 9.0 s have passed.
(b) Find the direction of the induced current in the loop as viewed looking along the direction of the magnetic field.

Answers

Answer:

a)     fem = - 0.0103 V,  b) the applied field is in a vertical upward direction, the induced current is clockwise.

Explanation:

a) For this exercise we use Faraday's law

         fem =  [tex]- \frac{d \phi}{dty}[/tex]

   

the magnetic flux is

         Ф = B. A = B A cos θ

The bold letters indicate vectors, in this case the direction of the magnetic field and the normal to the circumference is parallel therefore the angle is zero and the cos 0 = 1

         fem = - B dA / dt

the area of ​​a circle is

        A = π r²

l

et's perform the derivative

         dA / dt =π 2r [tex]\frac{dr}{dt}[/tex]

we substitute

          fem = - B 2π r [tex]\frac{dr}{dt}[/tex]

the circumference of a circle is

         L = 2π r

we substitute

          fem = - B L  ( L  )

          fem =  

Let's find the circumference for the 9 s, let's use a direct rule of proportions

If the circumference changes 13cm at t = 1. how much does it change at t=9s

         ΔL = 13cm (9s / 1s) = 117cm

the circumference that is

        L = Lo - ΔL

        L = 167 - 117

        L = 50 cm

let's reduce all magnitudes to the SI system

         L = 0.50 m

          = 0.130 m / s

calculate us

         fem = - 1.00 0.50 0.130

         fem = - 0.0103 V

b) the electromotive force induced in the opposite direction to the change of the radius and is decreasing with time, the current follows the direction of the decreased voltage therefore the current is induced in the opposite direction to the change of the magnetic flux.

If the applied field is in a vertical upward direction, the induced current is clockwise.

In a little league baseball game, the 145 grams ball enters the strike zone with a speed of 11.0 meters per second. The batter hits the ball and it leaves his bat with a speed of 25.0 meters per second in exactly the opposite direction. If the bat is in contact with the ball for 1.0 m/s, what is the magnitude of the average force exerted by the bat on the ball?​

Answers

Answer:

Force = 5.22 N

Explanation:

According to Newton's Second Law of motion:

[tex]Force = Rate\ of\ Change\ of\ Momentum\\\\Force = \frac{mv_f-mv_i}{t}\\[/tex]

where,

m = mass of ball = 145 g = 0.145 kg

vf = final speed of ball after hit = 25 m/s

vi = initial speed of ball before hit = -  11 m/s (negative sign due to opposite direction)

t = time of contact = 1 s

Therefore,

[tex]Force = \frac{(0.145\ kg)(25\ m/s)-(0.145\ kg)(-11\ m/s)}{1\ s} \\\\[/tex]

Force = 5.22 N

A compact disc (CD) is played by a cd player, which uses a laser to read the tracks on the disc. The disc spins initially at approximately 200 rotations per minute (rpm), and increases to a maximum of approximately 500 rpm as the laser spirals inward towards the center of the disc. This ensures that the laser covers equal distance in an equal amount of time during playback. During the time that the cd is played, which of the following statements is true?

a. The laser tracking mechanism experiences a changing tangential velocity
b. The laser tracking mechanism experiences a constant angular velocity
c. The laser tracking mechanism experiences a non-zero angular acceleration
d. The laser tracking mechanism experiences a non-zero tangential acceleration

Answers

Answer:

a. The laser tracking mechanism experiences a changing tangential velocity

c. The laser tracking mechanism experiences a non-zero angular acceleration

d. The laser tracking mechanism experiences a non-zero tangential acceleration

Explanation:

a. The laser tracking mechanism experiences a changing tangential velocity

This is because the tangential velocity v = rω where r = radius of disc and ω  = angular speed of discs. Since r is constant, v ∝ ω.

Since the angular speed changes from 200 rpm to 500 rpm, thus, the tangential velocity would also change.

So, the laser tracking mechanism experiences a changing tangential velocity

c. The laser tracking mechanism experiences a non-zero angular acceleration

Since angular acceleration, α = Δω/Δt where Δω = change in angular speed and Δt = change in time.

Since there is a change in angular speed from 200 rpm to 500 rpm in time Δt, there is thus a non-zero angular acceleration.

So, The laser tracking mechanism experiences a non-zero angular acceleration

d. The laser tracking mechanism experiences a non-zero tangential acceleration

Since tangential acceleration, a = rα where r = radius of disc and α = angular acceleration.

Since there is an angular acceleration of the disc, there is thus going to be a tangential acceleration given by a = rα.

So, the laser tracking mechanism experiences a non-zero tangential acceleration

Statement b is false because, the disc experiences a changing angular speed from 200 rpm to 500 rpm.

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Find the volume of the prism.The volume is cubic meters. the supreme court ruled ..? Which side lengths could form a triangle? Check all that apply.A) 20,6,15B) 8,8,17C) 2,11,12D) 19,34,15 The inspectors' job was challenged bySelect all that apply.the number of immigrantsthe language barrierthe low paythe location of Ellis Island 1. Meat is a major staple in our diets. What is Forgacs suggesting, and how realistic do you feel that his ideas are?2. What is the reasoning behind Forgacs ideas on biofabrications?3. Forgacs explains how manufactured leather from animal cells works in detail. Does this sound like a viable opinion? Would you wear leather manufactured from animal cells rather than the traditional method? Help pleaseeeeeeeeeeee Read the excerpt from Does My Head Look Big in This? by Randa Abdel-Fattah.Now the next thing, and its really very simple, is that while Im not going to abandon my fashion senseyoud better believe Id never give up my shopping spreesIm sick of obsessing about my body, what guys are going to think about my cleavage and calves and shoulder-to-hip ratio. And for the love of everything that is good and holy I am really sick of worrying what people are going to think if I put on a few pounds or have a pimple. I mean, homeroom on Monday morning can be such a stress attack.Which statement best explains how the narrative tone reveals a unique perspective? What is the volume of a hemisphere with a radius of 3.6 cm, rounded to the nearest tenth of a cubic centimeter? In the rock cycle this is when sediments are placed into a new location eventually become new sedimentary rick Which statements about waves are true? (Select TWO)A Light waves are mechanical waves.B Sound waves are mechanical wavesC Sound waves are electromagnetic wavesD Only mechanical waves can travel through a vacuum.E Only electromagnetic waves can travel through a vacuum.F Only electromagnetic waves can transport energy. Commonlit: 'The emperor's new clothes'PART A: What is the meaning of the word "swindlers" as it is used in paragraph 2? A Traveling people who weave clothes B Magicians who weave magical clothes C Scammers who con people for money D Spies who lie for information who invented white privilege may we please hel me What is Wiesel trying to do in this passage?A. Define what the word indifference means to himB. Remind his audience of the horrors of the 20th centuryC. Show his excitement for advancements in technologyD. Thank the United States for fynghting against suffering in kasovo what is the meaning of padre Mark buys Apple stock for $100 and its value increases by a factor of 1.5 each week. Which equation represents the relationship between the number of weeks past since purchase, t, and the current value of the stock, V? Context clues notes , ela The reaction between dihydrogen sulfide and sulfur dioxide is outlined below. 2 H2S(g) S02(g) -Y 3 S(s) 2 H20(g) a. Identify the limiting reactant when 3.89 g of dihydrogen sulfide react with 4.11 g of sulfur dioxide. Justify your answer. d. Based on your answer from part (a), determine the maximum mass of sulfur that can be produced in this reaction. c. Ifthe actual yield of sulfur is found to be 4.89 g, find the percent yield in this reaction. If a person meets an accident, which of the following factors will have more effect on his Kinetic energy and hence on the fatality of the accident?A.velocity of the vehicleB.Mass of the vehicle Given the funtion f(x) =g(x-3)+2, describe transformation of f(x) on a coordinate plane relative to g(x). Please show work...