A ball is thrown straight upward at 10 m/s. Ideally (no air resistance), the ball will return to the thrower's hand with a speed of

Answers

Answer 1

The ball will return to the thrower's hand with a speed of 10 m/s.

What is straight upward motion:

It is the motion when an object is projected upward, it moves in the opposite direction of the force of gravity.

The velocity is negative while the object moves up and positive while it moves downward due to upward motion.

Here,

A ball is thrown straight upward, u = 10 m/s

final velocity since ball momentarily stops at highest point, v= 0 m/s

According to Newton's 3rd equation of motion:

2gh = V² - u²

where,

g = acceleration due to gravity = -9.8 m/s²

h = height

substituting the values,

2(-9.8)h = (0)² - (10)²

h = 100 / 19.6

h = 5.10 m/s

Now, we consider downward motion:

2gh = v² - u²

where,

g  = 9.8 m/s²

h = height = 5.10  m

v = return velocity of ball

u = 0 m/s

substituting the values,

2(9.8)(5.10 m) = V² - (0)²

V = √(99.96)

V = 9.99 m/s

V ≈ 10 m/s

Hence,

the ball will return to the thrower's hand with a speed of 10 m/s.

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Related Questions

LSST stands for Long Space Standard Telescope.
True
Or False

Answers

think the answer is false

Suppose you are an engineer building a road across a mountain. From a prudential point of view, it would be easier and cheaper to build it through a family’s farm. This option would require compelling the family to move, which would be an extreme hardship for them. From a moral point of view, the family should be allowed to stay on their farm. Which view should take precedence?

Answers

Compensation may be provided, and a temporary residence provided, to the family so that they may make necessary adjustments to their living arrangements and other work-related matters. Even if it's not the nicest way to go about things, it's the most effective.

What is compensation due to damages?

Generally, Money given to a successful plaintiff in civil litigation is known as "compensatory damages." Damage awards are handed out by the civil justice system.

In conclusion, Engineers have a responsibility to find optimal solutions that satisfy the demands of the public in a manner that is both practical and beneficial to the progress of the country as a whole. In this case, forcing the farm family to relocate would be very difficult and upsetting for them, but it would be quite useful for the community as a whole if a road were to be constructed.

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a child is stationary on a swing. The child is given a push by a parent and the child starts swinging

Answers

Answer:

you havent given the full question

but im guessing momentum

momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity or the impetus gained by a moving object.

Explanation:

as the child is pushed, it gathers momentum as its weight allows it be pushed forward, and the velocity is the speed driven by the amount of force the parent pushes on the child whilst they are swinging. The momentum is the result of this action

the equation that links these factors together are

p = mv

p = momentum

m = mass

v = velocity

hope i got it right ._.

An observer views a spectrum and notes two characteristics of the spectrum:
1) most of the colors of a continuous spectrum are present,
2) at certain wavelengths, light is missing such that several dark lines are seen in the spectrum.
Describe the objects that are causing this spectrum to be seen. Be sure to state the relative temperatures of the objects that are involved in creating this spectrum.

Answers

The spectrum seen is the absorption spectrum. The wavelengths corresponding to those of the material through which light is being passed are absorbed, which leads to the occurrence of several dark lines in the spectrum.

White light when the incident with the object caused it to absorb the wavelengths corresponding to its excitation energy. These are characteristics of a particular atom/molecule.

Hence using this those can be identified. The absorption of the external energy leads the atoms to go to an excited state, hence the temperature increases.

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Two charged particles are a distance of 1.72 m from each other. One of the particles has a charge of 8.08 nC, and the other has a charge of 4.02 nC. (a) What is the magnitude (in N) of the electric force that one particle exerts on the other

Answers

The magnitude (in N) of the electric force that one particle exerts on the other is A. F=107.6nN.

F=[(9×10^9) ×(7.10×10^-9) ×(4.42×10^-9)] /(1.62^2)

F=(282.4×10^-9)/2.6244

F=107.6×10^-9N

F=107.6nN

Experiments with electric charges have shown that two charged objects exert electrical forces on each other. The magnitude of the force is linearly proportional to the net charge of each object and inversely proportional to the square of the distance between the objects.

Coulomb's law for calculating electrostatic forces. This force arises from the interaction between two charged objects (or point charges), the magnitude of which is calculated by F = kQ1Q2r2 F = k Q 1 Q 2 r2.

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A dentist using a dental drill brings it from rest to maximum operating speed of 387,000 rpm in 2.4 s. Assume that the drill accelerates at a constant rate during this time. (a) What is the angular acceleration of the drill in rev/s2

Answers

The angular acceleration of the drill is 2687.5 rev/s2

Given that operating speed of drill machine is 387000 rpm and the time given is 2.4s

We need to find the angular acceleration of the drill

Angular Acceleration is defined as the time rate of change of angular velocity.

The angular acceleration is also known as rotational acceleration.

It is a quantitative expression of the change in angular velocity per unit time.

The formula of angular acceleration is α =Δω/Δt

To find angular acceleration

α =Δω/Δt

Where Δω is the change in angular velocity

Δt is the change in time

Substituting the value  We get ,

  [tex]= \frac{387*10^3*1/60}{2.4}[/tex]

Therefore ,

α = 2687.5 rev/s2

Hence the angular acceleration is 2687.5 rev/s2

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A car travels around a curve. What can you say about the centripetal force if the velocity is tripled?

Group of answer choices

A) Nothing - there is no information on the mass of the car.

B) Nothing - there is no information on the radius of the curve.

C) The centripetal force will increase by a factor of nine

D) The centripetal force will increase by a factor of three.

Answers

Answer:

F = M a = M v^2 / R

If v is increased by three the force will be increased by nine,

C) is correct

Two thin wires rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are +q and –q. The potential difference between the centres of the two rings is​

Answers

Answer:

Q/4πε0 [1/R - 1/√R2+d2]

Explanation:

Q/4πε0 [1/R - 1/√R2+d2] is the answer

explanation is attached.

toppr

Bring a negatively-charged strip near the neutral electroscope but do not touch the knob. What happens

Answers

Positive charges are gathered on the neutral electroscope near the negatively charged strip.

To find the answer , we need to know about the induction of charge.

What's the induction of charge?When an electrically charged object is kept close to an neutral conductor, induced charage is produced in the conductor. This method is induction of charge.The induced charges have opposite sign to that of the charged object. Why are the charges induced in the neutral conductor?A charged particle attracts another oppositely charged particle. Similarly the charged object attracts the opposite charges present in that neutral conductor. So the oppositely charged particles present in the conductor are gathered at the side of the charged object and produce induced charges.

Thus, we can conclude that the positive charges are gathered on the neutral electroscope near the negatively charged strip.

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Acceleration of a particle moving along x axis is given
by a = x. At x = 0, v = 2 m/s. Find velocity as a
function of x.
(a) √√√x+2
(c) √√x +4
(b) √x² +2
2
(d) √x² +4

Answers

B. The velocity of the particle with respect to the acceleration is √x + 4.

What is velocity?

Velocity is the rate of change of displacement with time.

The velocity of the particle with respect to the acceleration of the particle is calculated as follows;

vf = v₀ + at

where;

vf is the final velocityv₀ is the initial velocitya is acceleration, assuming a = √x + 2t is time

vf(x) = 2 + (√x + 2)

vf(x) = √x + 2 + 2

vf(x) = √x + 4

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Use the concepts on which maxwell’s equations are based to explain why a compass needle is deflected when the compass is brought near a wire that is carrying an electric current.

Answers

A conductor that is conducting current generates a magnetic field everywhere around it. This magnetic field exerts force on the compass's magnetic needle, causing the needle to deviate.

Definition of Maxwell's rule

A current-conducting conductor creates a magnetic field everywhere around it. The magnetic needle of the compass experiences force from this magnetic field, which causes the needle to veer.

Equation for deflection

We have so far established that the total flux of electric field out of a closed surface is just the total enclosed charge multiplied by 1/ε0, ∫→E⋅d→A=q/ε0. This is Maxwell's first equation. It represents completely covering the surface with a large number of tiny patches having areas d→A.

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Which of the following is true about a theory?
A. It is almost always controversial among scientists.
B. It is the first step toward scientific knowledge
OC. It will be modified or replaced.
D. It is a guess about how something in nature happens.

Answers

Answer:

D. It is a guess about how something in nature happens.

Explanation:

Nature is not controlled by anyone else, so people have to guess in order to know if something happend in nature.

The period of a pendulum depends on _____. Select all that apply. The period of a pendulum depends on _____. Select all that apply. its mass the string length the amplitude of the motion gravity the value of the pendulum constant

Answers

Answer:

Period is proportional to (L / g)^1/2

Only the length of the string and the force of gravity will affect the motion of a simple pendulum.

The time period of a pendulum depends on the length of pendulum, acceleration due to gravity and to some extends its amplitude also.

What is simple pendulum?

A simple pendulum is a suspended body with one of its end fixed on a support and it is free to swing back and forth. The equation for the time period of simple pendulum is written as:

[tex]\rm T = 2\pi \sqrt{ \frac{l}{g} }[/tex]

Hence, the factors which affects the time period of pendulum are length  and acceleration due to gravity g. This time period of the pendulum is the time taken to cover one complete oscillation.

Up to some extend the amplitude of the swing may affect the time period. However, mass has no effect on the period of a simple pendulum.

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A piano of mass 852 kg is lifted to a height of 3.5 m. How much gravitational potential energy is added to the piano? Acceleration due to gravity is g = 9.8

m/g2

Answers

Answer:

Gravitational Potential Energy = Mass*Gravity*Height.

GPE = 852 * 9.8 * 3.2

GPE = 26718.72 Newtons.

calculate the volume of an object of mass 500g whose density is 70kgm-3

Answers

Answer:

Amount                              Unit

132.48935                    kilogram

132489.35                       gram

132489350                      milligram

0.13248935                             ton

292.08925642428        pound (lb)

662446.75                              carrat

2044623.1271428                        grain

7.9786897063466E+28 atomic mass unit

If a mineral contains only atoms of oxygen and a metal, it is most likely
O an oxide.
O a sulfate.
a phosphate.
a silicate.

Answers

An oxide

Oxide mineral are the minerals in which oxide anion () is bonded to one or more number of the metal ions.
Oxide minerals are naturally occurring compounds with structure based on the close-packed atoms of oxygen in which metal or other various ions occur in the interstices.

What do you mean by focus in science

Answers

“a point at which rays of light, heat, or other radiation meet after being refracted or reflected.” Meaning multiple light rays or heat (and other forms of radiation) are all being refracted or reflecting to a certain point

What is the mass moment of inertia of a 20kg sphere with a radius of 0.2m about a point on the sphere's perimeter

Answers

Answer:

I = M R^2 is the moment of inertia about a point that is a distance R from the center of mass (uniform distributed mass).

The moment  of inertia about the center of a sphere is 2 / 5 M R^2.

By the parallel axis theorem the moment of inertia about a point on the rim of the sphere is  I = 2/5 M R^2 + M R^2 = 7/5 M R^2

I = 7/5 * 20 kg * .2^2 m = 1.12 kg m^2

You can, in an emergency, start a manual transmission car by putting it in neutral, letting the car roll down a hill to pick up speed, then putting it in gear and quickly letting out the clutch. If the car needs to be moving at 3.5 m/s for this to work, how high a hill do you need

Answers

Answer: 0.625 m

Explanation:

Given:

Final velocity of the car = 3.5 m/s

While the car rolls down the hill, there is a conversion of potential energy (PE)  to kinetic energy (KE). Therefore, applying the conversion of energy as,

[tex]$$Total energy at height $(\mathrm{h})=$ Total energy at bottom$$\begin{aligned}&K E+P E=K E^{\prime}+P E^{\prime} \\&0+m g h=\frac{1}{2} m v^{2}+O \\&m g h=\frac{1}{2} m v^{2}\end{aligned}$$[/tex]

Here, m denotes the mass of the car, g is the gravitational acceleration, having a value of 9.8 m/s^2.  And h is the height of the hill.

Solving for h,

[tex]\begin{aligned}&g h=\frac{l}{2} v^{2} \\&h=\frac{1}{2} \times \frac{v^{2}}{g} \\&h=\frac{1}{2} \times \frac{3.5^{2}}{9.8} \\&h=0.625 \mathrm{~m}\end{aligned}[/tex]

Therefore, the required height of hill is 0.625 m


A sphere of radius 6cm is moulded into a thin cylindrical wire of length 32cm. Calculate the radius of the
wire in SI Units

Answers

Answer:

4/3 pi R^3 = pi r^2 L     equating volume of sphere and wire

r = (4 R^3 / 3 * L)^1/2      solving for radius of wire

r = (4 * 6^3 / 3 * 32)^1/2

r = 9^1/2 cm = 3 cm = .03 meters

When you "Rate," or analyze, the consequences of your decisions, HELP can assist you with which of the following?

Answers

When you "Rate," or analyze, the consequences of your decisions, HELP can assist an individual with: B. evaluating the consequences of his or her decisions.

What is the decision-making process?

The decision-making process refers to a cognitive process that involves obtaining information, analyzing them, and then evaluating alternatives, so as to enable the proper selection of an optimum solution (choice) to a particular problem.

Based on personal health skills, we can infer and logically deduce that HELP can assist an individual with evaluating the consequences of his or her decisions when he or she "Rate," or analyze, the consequences of your decisions.

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Complete Question:

When you "Rate," or analyze, the consequences of your decisions, HELP can assist you with which of the following?

A. identifying what is most important.

B. evaluating the consequences of decisions.

C. determining what decision needs to be made.

D. narrowing the possibilities and acting on the best one.

An 8000-N car is moving at 12 m/s along a horizontal road. The driver applies the breaks and the car skids to a stop. How much kinetic energy is lost? Group of answer choices 4.8*104 J 4.8*106 J 5.8*105 J 5.9*104 J 1.2*105 J

Answers

58775.51 J kinetic energy is lost,

Energy lost = 0.5*mv²

= 0.5*8000/9.8 * 12*12

= 58775.51 J

To calculate the energy loss of a moving object, subtract the initial kinetic energy from the final kinetic energy, where the initial and final kinetic energies are calculated using the formula 1/2*M*V^2.

When energy is transformed from one form to another or moved from one area to any other, or from one device to another there's energy loss. This means whilst energy is converted to a different form, some of the entering energy is become an especially disordered form of energy, like heat.

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In the experiment you used objects with masses that were not necessarily known. Assume that it is determined that the mass of an object that produces a deformation of size 3, is 120 grams. What is the mass of an object that would produce 1 unit of deformation

Answers

Answer:

40 gm

Explanation:

size one   is     1/3 of size 3  

 so the mass is also 1/3

     1/3 * 120 gm = 40 gm

A 0.500 kg bullet is fired from a gun at 25.0 m/s, how much kinetic energy does it have?

Answers

Considering the definition of kinetic energy, the bullet has a kinetic energy of 156.25 J.

Kinetic energy

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and in a rest position, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its rest state by applying a force to it.

The kinetic energy is represented by the following expression:

Ec= ½ mv²

Where:

Ec is the kinetic energy, which is measured in Joules (J).m is the mass measured in kilograms (kg).v is the speed measured in meters over seconds (m/s).

Kinetic energy of a bullet

In this case, you know:

m= 0.500 kgv= 25 m/s

Replacing in the definition of kinetic energy:

Ec= ½ ×0.500 kg× (25 m/s)²

Solving:

Ec= 156.25 J

Finally, the bullet has a kinetic energy of 156.25 J.

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false In order to use the efficiency of a car engine in an optimal way, a maximum engine speed of .........RPM for shifting is recommended for gas engines

Answers

In order to use the efficiency of a car engine in an optimal way, a maximum engine speed of 2500 RPM for shifting is recommended for gas engines.

A car's fuel efficiency is determined by how well it converts the energy in its fuel into kinetic energy for movement.

Most of the time, it's advisable to maintain a speed below 2500 rpm for economic reasons.

Range of 2000-2500 rpm is the best for shifting as

1) It is the most favorable range for the engine due to economic reasons.

2) It saves fuel.

3) It also keeps the engine heavy.

After this range, the economy usually declines.

Even though moving gears doesn't significantly affect engine life due to technological developments, but shifting for gas engines is recommended at 2000-2500 rpm.

Hence, 2500 rpm is the maximum engine speed recommended for gas engines for shifting.

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A car engine changes chemical energy into what types of energy? A. Mechanical and thermal B. Thermal and light C. Mechanical and nuclear D. Electromagnetic and mechanical A car engine changes chemical energy into what types of energy ? A. Mechanical and thermal B. Thermal and light C. Mechanical and nuclear D. Electromagnetic and mechanical​

Answers

Howdy,

B. Thermal and light.

The info below shows three kettles with their powers and the time they take to boil 500cm3 of water. If electricity costs 9p per unit, how much does it cost to boil 500cm3 of water using the 3kW kettle?

Kettle 1= 3mins =3kW
Kettle 2= 3.5mins= 2.2kW
Kettle 3=4.5mins=1.4kW

Answers

The cost of boiling 500 cm³ of water using the 3 KW Kettle is 1.35p

What is power?

This is defined as the rate in which energy is consumed. Electrical power is expressed mathematically as:

Power (P) = Energy (E) / time (t)

P = E / t

How to determine the energyPower (P) = 3 KWTime (t) = 3 mins = 3 / 60 = 0.05 hEnergy (E) =?

E = Pt

E = 3 × 0.05

E = 0.15 KWh

How to determine the costEnergy (E) = 0.15 KWhCost per unit = 9pCost =?

Cost = Energy × cost per unit

Cost = 0.15 × 9

Cost = 1.35p

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Which two theories disagree when it comes to describing the singularity thought to be at the center of a black hole

Answers

when it comes to describing the singularity thought to be at the center of a black hole Quantum physics and Einsteinʹ s general theory of relativity theories disagree.

What is the singularity of a black hole?

It is the center of the black hole, a place of infinite density where the known laws of physics cannot describe the conditions.It is  place from which the escape velocity exceeds the speed of light.

According to  Einsteinʹ s general theory of relativity:

Theory of relativity holds that what we perceive as the force of gravity arises from the curvature of space and time. The scientist proposed that objects such as the sun and the Earth change this geometry

from this we can say that,

It doesn't agree the concept of  describing the singularity thought to be at the center of a black hole

Hence,

when it comes to describing the singularity thought to be at the center of a black hole Quantum physics and Einsteinʹ s general theory of relativity theories disagree.

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The speed of ultrasound in human body is 1540 m/s. A procedure is performed with a frequency of 2.57 MHz is used. To monitor the heart rate of a fetus, the maximum frequency shift is 100 Hz. The maximum speed of a vibrating heart is _____ cm/s.

Answers

2.49 cm/s is the maximum speed of vibrating heart.

Given,

Frequency of ultrasonic wave = 2.57 MHz = 2.57 ×[tex]10^{6}[/tex] Hz

Speed of ultrasound = 1540m/s

The maximum frequency shift = 100 Hz

Maximum speed of heart = ?

By using Doppler equation

[tex]f1 = f0(\frac{c + v}{c} )[/tex] …..(1)

[tex]f2 = f1 (\frac{c}{c - v} )[/tex] …..  (2)

From equation (1) & (2)

[tex]f2= f0(\frac{c+v}{c-v} )[/tex]

[tex]f2 = 2.57[/tex] ×[tex]10^{6} + 100 = 2570100[/tex] Hz

[tex]f0 = 2570000[/tex] Hz

c = 1540 m/s

So,

[tex]2570100 = 2570000(\frac{1540 + v}{1540 - v} )[/tex]

1.00003(1540-v) = 1540+v

1540.05 - 1.00003v = 1540 +v

2.00003v = 0.05

v= 0.0249 m/s

v= 2.49 ×[tex]10^{-2}[/tex] m/s

v= 2.49 cm/s

So, the maximum speed of vibrating heart is 2.49 cm/s

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special metal hangers or stirrips called joist hangers are used when joist must be _____ the bottom of the grider or beam

Answers

Answer:

Special metal hangers or stirrups called joist hangers are used when joist must be flush with the bottom of the girder or beam.

Explanation:

A joist hanger also known as a beam hanger is a mechanical device which is used to fasten joists and rafters.The rafters are the carried members to beams and headers are the carrying members.

Thus, special metal hangers or stirrups called joist hangers are used when joist must be flush with the bottom of the girder or beam.

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Review the statement below."Every man who does not go to war must work for the empire, without reward, for a certain time."What law code is this an example of? Code of Hammurabi Yassa Khanate Christian Bible Solve the system. {3x+ 2y=8 {3x+3=y You want to know when your plane is leaving. What do you look up?A. L'horaire. B. Le hublot.C. L'enregistrement.D. Le sige. which type of rehabilitation is an essential component to a client's recovery from guillain barre You run around the perimeter of a baseball field at a rate of at most 8 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field? Please Help!Colour key:Yellow: Questions I have answeredGreen: Information needed to answer questionsBlue: Questions I need help withPlease, feel free to correct me, Im not good at Surface Area The problem: take two solutions and plug them into the original equation. To check for extraneous solutions. How many positive three-digit integers have the hundreds digit equal to 7 and the units (ones) digit equal to 1? According to the attraction-selection-attrition (ASA) theory, job applicants:______.a. avoid other applicants if they are competing for the same jobs.b. with a variety of personal characteristics are preferred by organizations, resulting in a more heterogeneous organization.c. do not typically pay much heed to organizational values when applying for work.d. avoid employment in companies whose values seem incompatible with their own values. DNA technology is being used today to try to extract the DNA of a frozen wooly mammoth and blend it with the DNA of the modern elephant to create a fetus through in vitro fertilization in order to bring back a wooly mammoth hybrid to our planet.Name a type of DNA technology that would be very helpful in this process. The Residential Energy Consumption Survey found in 2001 that 47% of American households had internet access. A market survey organization repeated this study in a certain town with 25,000 households, using a simple random sample of 500 households: 239 of the sample households had internet access. Of the 500 sample households, 7 had three or more large-screen TVs. Among the sample households, 121 had no car, 172 had one car, and 207 had two or more cars. Estimate the percentage of households in the town with one or more cars; attach a standard error to the estimate. If this is not possible, explain why not. where is bulgaria located? What are bulgarians like? Scenario A Julio was given the task to produce 59 grams of iron(III) oxide, 23Fe2O3. They had one tank of oxygen gas, 2O2 and 54 grams of solid iron, Fe. They knew that if he heated the iron in the presence of the oxygen gas, they could produce the iron(III) oxide. Since they had such little amount of iron, they decided to use as little of the iron as they could to produce the 59 grams of iron(III) oxide. Julio measured out 41 grams of iron and heated it with excess oxygen. Assume Julio's reaction went 100%. Julio was very happy that their reaction produced the 59 grams.Scenario B Gretchen was given the task to produce 19 grams of aluminum fluoride, 3AlF3. They had a tank of fluorine gas, 2F2, and 7 grams of solid aluminum, Al. They knew that if they heated the aluminum in the presence of excess fluorine gas, they could produce the aluminum fluoride. Since Gretchen had such little amount of aluminum, they decided to use as little of aluminum as they could to produce the 19 grams of aluminum fluoride. Gretchen measured out 5 grams of aluminum and heated it with excess fluorine gas. Assume Gretchen's reaction went 100%. Gretchen was very happy their reaction produced the 19 grams.Question #1: Which scientist did the experiment incorrectly? (1 pt)Question #2: Explain what the scientist did incorrectly. Be sure to include the balanced equation for each scientist. Show the stoichiometry and explain in complete sentences why one experiment is wrong and the other is not. (4 pts)Question #3: Explain specifically what the scientist should do to make the experiment correct (use numbers to support your answer). Also, include the stoichiometry to show how the scientist can make the experiment correct. (3 pts)As you answer the questions above, use complete sentences to explain the stoichiometry you show and use proper grammar and spelling (1 pt) What is the effect of having Macbeth or Lady Macbeth leave the castle court at different times to carry out a task while the other character waits inside? . A man of mass 80 kg stands in a lift, what is the reaction from the floor of the lift if the lift;A. moves upwards with steady speed. moves upwards with acceleration 0.5m/sC. moves downward with acceleration 0.4m/s(g - 9.8m/s') The product of a number and the sum of six and five is equal to the sum of the number and thirteen. What is the number? Which multiplication expression is equivalent tox+8 2x+16x 2x ?OOX + 8x + 832X + 82xDONE2x2x + 162x + 162x2x2x + 16 28. An electron with a speed of 4.0 x 10 m/s enters a uniform magnetic field of magnitude 0.040 T at an angle of 35 degrees to the magnetic field lines. The electron will follow a helical path. a) Determine the radius of the helical path. b) How far forward will the electron have moved after completing one circle? The density of a certain type of plastic is 0.77 g/cm3. If a sheet of this plastic is 10.0 m long, 1.0 m wide, and 1 cm thick, what is its mass Resources that will eventually run out are _____ .