At what vertical velocity should no object be launched at in order to achieve a height of 20m?​

Answers

Answer 1

Answer:

19.8 m/s

Explanation:

Given:

Maximum vertical displacement of the object (H) = 20 m

Acceleration due to gravity (g) = 9.8 m/s²

At maximum height, the velocity of the object is 0 m/s for a moment. So, final velocity (v) at the maximum height is 0 m/s.

Now, let the initial velocity or velocity at launch be 'u' m/s.

Now, using the following equation of motion for vertical motion:

[tex]v^2=u^2-2gH[/tex]

Rewriting in terms of 'u', we get:

[tex]u^2=v^2+2gH\\\\u=\sqrt{v^2+2gH}[/tex]

Plug in the given values and solve for 'u'. This gives,

[tex]u=\sqrt{0+2\times 9.8\times 20}\\\\u=\sqrt{392}\\\\u=19.8\ m/s[/tex]

Therefore, the vertical velocity at the launch is 19.8 m/s.


Related Questions

If a truck has 40,500 kg*m/s momentum and is moving with a velocity of 90 M/S, what is the trucks mass?

Answers

Answer: 450 kg

Explanation: p=mv

m= p/v

m=40500/90

m=450kg

The mass of the truck given that it has a momentum of 40500 Kgm/s and moving at 90 m/s is 450 Kg

What is momentum?

Momentum is defined as the product of mass and velocity. It is expressed as

Momentum = mass × velocity

How to determine the mass Momentum = 40500 Kgm/sVelocity = 90 m/sMass =?

Momentum = mass × velocity

40500 = mass × 90

Divide both side by 90

Mass = 40500 / 90

Mass = 450 Kg

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In an astronomical sense, which is not considered an ice?
hydrogen
carbon dioxide
water
ammonia

Answers

The answer is hydrogen.

Gina loves to help make dinner for her family. She is helping her mom make spaghetti tonight.

First, they boil a large pot of water on the stove. Then, they put the spaghetti noodles in the pot. They let the noodles cook and then remove the water. Finally, Gina puts sauce on the noodles and is ready to serve dinner.

For which reason are Gina and her mom using water?
A.
to clean
B.
to drink
C.
to prepare food

Answers

c. to prepare food, they make the spaghetti in the water

you are trying to figure out the voltage of a battery when you know the current and the resistance. the current(i) is 25 Amps, and the resistance (R) is 10 ohms. Use the right form of I=VIR

Answers

Answer:

V= 250 volts

Explanation:

V=IR

V=25*10

V=250 volts

Answer: 250 V

Explanation: Ohm's Law is expressed in the given equation:

V = I x R

Substitute the values of I ( current) and R ( resistance)

V = 25 A x 10 ohms

= 250 V

Suppose that an object slows down while moving horizontally. In this situation, the
object's kinetic energy would _, its potential energy would _, and its total
mechanical energy would
Enter the three answers in their respective order without any commas or spaces between
letters.
a. Increase
b. Decrease
c. Remain the same
d. Nonsense! It is impossible to tell without more information.​

Answers

Suppose that an object slows down while moving horizontally. In this situation, the object's kinetic energy would _,(decrease )---- its potential energy would (increase)  and its total  mechanical energy would (remains the same) .

Explanation:

Energy

It is ability to do work

It is of different types out of which mechanical energy is also one of the type .

Mechanical energy

It is the energy possessed by body due to its position or motion .

It is of two types :

Kinetic energy

Potential energy

Potential energy

It is the energy possessed by body due to its position or state .

It is given by P.E =mx gx h

Kinetic energy

It is the energy possessed by body due to its motion .

It is given by K.E=1/2 mv²

Law of conservation of energy

It states that energy can be converted from one form to another but total energy of the system remains same .

That is why : in above asked question ,when body is moving it has kinetic energy , when stops the kinetic energy gets converted to potential energy , but the total energy of system remains same .

The object's kinetic energy would decrease, its potential energy would increase, and its total mechanical energy would remain the same.

The total mechanical energy (E) of a system is the sum of its kinetic energy (KE) and its potential energy (PE).

E = KE+ PE

conservation of energy:

whenever an object is acted upon by a non-dissipative conservative force its total mechanical energy remains conserved.

So, when the object slows down, its velocity decreases, and therefore its kinetic energy decreases. Since the total mechanical energy remains conserved, the loss in kinetic energy is converted into gain in potential energy, and the potential energy increases.

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A rock has a mass of 340.6 kg and a volume of 214 cm^3. Calculate the density

Answers

Density = mass/volume

Density = 340.6kg / 214 cm^3

Density = 1.592 kg/ cm^3

Density = 1,592 gram/cm^3

That's about 70 TIMES the density of the most dense natural element (Osmium). This is one verrrry interesting rock !

The density will be "1592 g/cm³".

According to the question,

Mass, m = 340.6 kgVolume, V = 214 cm³

We know the formula,

→ [tex]Density = \frac{Mass}{Volume}[/tex]

By substituting the values, we get

                 [tex]= \frac{340.6}{214}[/tex]

                 [tex]= 1.592 \ kg/cm^3[/tex]

or,

                 [tex]= 1592 \ g/cm^3[/tex]

Thus the response above is correct.

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____________occurs when an object travels in a curved path.

Answers

Answer:

Acceleration

Explanation:

can you mark me  brainlies

So, if an object travels in a curved path, it changes velocity, and, thus, accelerates. This acceleration must be tied to a force. ... Therefore, whenever an object travels in a curved path, there must be an unbalanced force acting upon it. It is important to understand that all this may occur without a change in speed.t

Which substance cannot be seperated physically or chemically?

Answers

Answer:

What is a Pure Substance?

Explanation:

It is something which cannot be divided into parts by physical means, as it's all made up of the same thing. Pure substances are either elements or compounds. Elements can NOT be separated into other types of matter (physically or chemically).

Answer:

an element

Explanation:

Elements are not able to be separated, but everything else can, whether that be physically or chemically.

Not my work i looked it up, so no copy write please rate!

A book sitting on a shelf has gravitational potential energy. true or false

Answers

Answer:

False

Explanation:

A book resting on a shelf has no potential energy relative to the shelf, since it has height of zero meters relative to the shelf.

Answer:

True

Explanation:

A current 1A in the human body is extremely dangerous.
a) Estimate the potential difference needed to produce this current.
b) Suggest why your are unlikely to be injured by an electric current in your house.

Please answer both questions.

Answers

a) Potential difference needed: 10,000 V

b) Because the potential difference in the house is maximum 230 V

Explanation:

a)

The relationship between current, potential difference and resistance in a conductor is given by Ohm's law:

[tex]V=RI[/tex]

where

V is the potential difference

R is the resistance

I is the current

The resistance of the human body is estimated to be as high as [tex]100,000 \Omega[/tex] for a dry body and as low as [tex]1000 \Omega[/tex] for a wet body: in this problem, we use a value in the middle,

[tex]R=10,000 \Omega[/tex]

Therefore, the potential difference needed to produce a current of

[tex]I=1 A[/tex]

is

[tex]V=(10,000)(1)=10,000 V[/tex]

b)

Here we want to estimate if it is likely or not to get injured by an electric current in a house.

The amount of current that can be fatal is [tex]I=1 A[/tex]. From part a), we saw that in order to produce this current through the human body, a potential difference of

[tex]V=10,000 V[/tex]

is needed.

However, the electricity that reaches the houses and then is connected to the household appliances has a potential difference of

V = 230 V

This value is much lower than 10,000 V, therefore the electricity in the house is unlikely to cause injures to human body.

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A ball is dropped from the top of a building. When does the ball have the least kinetic energy? (A) after it has hit the ground (B) just before it hits the ground (C) just after it is released (D) half way through the fall

Answers

The velocity of the ball is zero at the point of release.

Thus the ball have the least kinetic energy just after it is released.

What is kinetic energy?

The energy of the object due to its motion is known as the kinetic energy of that object.

As the ball has some height before it is dropped.

Due to this height the ball posse some potential energy which is equal to the product of its mass, height and the gravitational force.Here kinetic energy is zero.

(A) After it has hit the ground- When the ball hits the ground the kinetic energy becomes maximum and the potential energy of it becomes zero.

(B) Just before it hits the ground- As just before it hits the ground the ball achieve the highest speed and least potential energy as the height is almost equals to zero here.

(C) Just after it is released-At this point the ball has maximum potential energy due to the highest height it has, but least kinetic energy due to the zero velocity.

(D) Half way through the fall- At the halfway the ball has some height, thus it will posses the potential energy. As the ball is dropping it will have the kinetic energy as well. Thus at half way the mechanical energy of the ball is half the potential and half the kinetic energy.

Hence the ball have the least kinetic energy just after it is released.

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Answer: After it has hit the ground

Explanation:

I took the K12 test and got it right leave brainliest

A non-infectious disease is a disease that you can not catch.

True or False

40 pointsss

Answers

Answer:

TRUE

Explanation:

Answer: TRUE

Explanation:

Figure P2.23 is a somewhat simplified velocity graph for Olympic sprinter Carl Lewis starting a 100 m dash. Estimate his acceleration during each of the intervals A, B, and C.

Answers

A) Acceleration in part A: [tex]6.1 m/s^2[/tex]

B) Acceleration in part B: [tex]2.7 m/s^2[/tex]

C) Acceleration in part C: [tex]1.5 m/s^2[/tex]

Explanation:

A)

The picture of the problem is missing: find it in attachment.

The acceleration of a body is equal to the rate of change of its velocity:

[tex]a=\frac{v-u}{\Delta t}[/tex]

where

v is the final velocity

u is the initial velocity

[tex]\Delta t[/tex] is the time it takes for the velocity to change from u to v

In part A of the race, we have:

u = 0

v = 5.5 m/s (estimate)

[tex]\Delta t = 0.9 - 0 = 0.9 s[/tex]

So the acceleration is

[tex]a=\frac{5.5-0}{0.9}=6.1 m/s^2[/tex]

B)

In part B of the race, we have:

u = 5.5 m/s is the initial velocity (estimate)

v = 9.5 m/s is the final velocity (estimate)

[tex]\Delta t = 2.4 - 0.9 = 1.5 s[/tex] is the time interval between the two points considered

Therefore, using the equation for the acceleration, we can find the acceleration in part B:

[tex]a=\frac{9.5-5.5}{1.5}=2.7 m/s^2[/tex]

C)

In part C of the race, we have:

u = 9.5 m/s is the initial velocity (estimate)

v = 11 m/s is the final velocity (estimate)

[tex]\Delta t = 3.4 - 2.4 = 1 s[/tex] is the time interval between the two points considered

And therefore, the acceleration in part C of the race is:

[tex]a=\frac{11-9.5}{1}=1.5 m/s^2[/tex]

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When you blink your eye, the upper lid goes from rest with your eye open to completely covering your eye in a time of 0.024 s.

a. Estimate the distance that the top lid of your eye moves during a blink.

b. What is the acceleration of your eyelid? Assume it to be constant.

c. What is your upper eyelid's final speed as it hits the bottom eyelid?

Answers

a) Distance moved by the top lid during a blink: 1 cm (estimate)

b) The acceleration is [tex]34.7 m/s^2[/tex]

c) The final speed is 0.83 m/s

Explanation:

a)

For the purpose of this problem, we can estimate the size of the eye from the top lid to the bottom lid to be 1 cm, so this is the distance moved by the top lid during a blink.

b)

Assuming the motion of the eyelid to be at constant acceleration, we can find the acceleration by using the following suvat equation:

[tex]s=ut+\frac{1}{2}at^2[/tex]

where

s is the distance covered

u is the initial velocity

t is the time

a is the acceleration

For the eyelid, we have:

u = 0 (it starts from rest)

s = 1 cm = 0.01 m is the distance covered

t = 0.024 s is the time taken

Solving for a, we find the acceleration:

[tex]a=\frac{2s}{t^2}=\frac{2(0.01)}{0.024^2}=34.7 m/s^2[/tex]

c)

The final speed of the upper eyelid can be found by using another suvat equation:

[tex]v=u+at[/tex]

where

v is the final speed

u is the initial speed

a is the acceleration

t is the time

For the eyelid in this problem, we have

u = 0

[tex]a=34.7 m/s^2[/tex]

t = 0.024 s

Substituting, we find the final speed:

[tex]v=0+(34.7)(0.024)=0.83 m/s[/tex]

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Add each of the following vectors and find the total resultant.
a. 15 m East and 25 m North.
b. 220 m North and 80 m West.
c. 2.2 m South and 1.8 m North.
d. 150 m East and 180 m South.
e. 45 m South, 30 m East, and 15 m North.

Answers

Use pythagorean theorem and inverse tangent.
a) magnitude - 29.15; angle - 59 degrees
b) magnitude - 234.09; angle - 110 degrees
c) magnitude - 0.4; angle - south
d) magnitude - 234.3; angle - 309.81 degrees
e) magnitude - 42.43; angle - 315 degrees

Briefly describe the two different categories of mechanics:

Answers

Answer:

Statics which is when dealing with forces acting out on body and the possible motives of the body system. Kinetics which explains the motion that can occur in any type of situation.

Explanation:

PLEASE HELPPP
_______________ is when the bronchial tubes swell up. This is usually cause by some sort of allergy, but exercise and stress can also cause the attack.

a) influenza
b) pneumonia
c) asthma
d) Parkinson's

Answers

Answer:

Athsma. Pneumonia is the only other one it could be, but is not brought on the excercise, allergy, stress.

Explanation:

Hope this helps! Happy Trails!

Which title best reflects the main idea of the passage? The Role of Convection in the Distribution of Earth's Energy The Role of Heat Transfer Methods in the Distribution of Earth's Energy Conduction, Convection, and Radiation: Methods of Heat Transfer Conduction, Convection, and Radiation: The Heating Up of Earth's Surface

Answers

Answer:

b

Explanation:

The main idea can be the Role of Heat Transfer Methods in the Distribution of Earth's Energy.

What is main idea of a passage?

The main idea of a passage is the central message or information the author is trying to pass to the audience.

The main idea of a passage is the author's main purpose of writing the passage.

From the given options, the main idea of the passage can be determined if the central message of the passage can be deduced.

The main idea can be "The Role of Heat Transfer Methods in the Distribution of Earth's Energy"

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which category are liquids and gases a part of? PLEASE HELP
-compounds
-solutions
-solids
-fluids

Answers

Liquids and gases are a part of fluids.

Explanation

Liquids and gases are two states of matter and they differ from solids in terms of close packing of the particles and freedom of movement. The solid particles are closely packed allowing lesser freedom  of movement while the particles are not the tightly packed in liquids and gases. gases have greater freedom of movement than solids and liquids and liquids have greater freedom of movement than solids.

Due to this factor liquids and gases can  move or flow easily and that is why they are called fluids.

A ship sends out a pulse of sound and receives an echo back one second later. If the water is 750m deep, what is the speed of sound in water?

Answers

Answer:

1500 m/s

Explanation:

The sound wave travels 750 meters from the ship to the bottom of the water, then 750 meters back to the ship.  So it travels a total distance of 1500 meters in 1 second.

So the average speed is:

v = 1500 m / 1 s

v = 1500 m/s

stephanie, who has a mass of 75 kg is driving and suddenly slams on her brakes to avoid hitting a student crossing blanco road. she is wearing her seatbelt, which brings her body to a stop at 0.5 seconds. an average foce of 3750 N is exerted on her body during the collision. how fast was she going before applying the brakes? ​

Answers

Answer:

25 m/s

Explanation:

Impulse = change in momentum

F Δt = m Δv

(3750 N) (0.5 s) = (75 kg) (v − 0 m/s)

v = 25 m/s

calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm.​

Answers

Answer:

it's 578 cm

[tex]\pi \times 8 \times 15 + \pi \times {8 }^{2} = 578[/tex]

Explanation:

[tex]surface \: area \: of \: a \: corn = \pi \times radius \times slant \: height + \pi \times {r}^{2} [/tex]

Which of the following statements about the nuclear strong force is NOT true?
.The nuclear strong force favors binding protons with protons and neutrons with neutrons
.The nuclear strong force is not affected by the charge of the nucleus
. The nuclear strong force is very strong but only over very short distances.
. The nuclear strong force is responsible for the sun’s nuclear fission reactions.

Answers

Final answer:

The incorrect statement about the nuclear strong force is that it is responsible for the sun's nuclear fission reactions. In reality, the strong force is crucial for binding nucleons within nuclei and operates over extremely short distances, but it is not responsible for fission in the sun.

Explanation:

The statement about the nuclear strong force that is not true is: The nuclear strong force is responsible for the sun’s nuclear fission reactions. This is incorrect because the strong force is not responsible for fission in the sun; instead, it plays a crucial role in maintaining the stability of atomic nuclei by binding protons and neutrons together. It is a powerful attractive force that acts over extremely short distances, approximately 10-15 meters, and is much stronger than electrostatic repulsions between similarly charged protons. However, its primary role is not in driving the sun's fission reactions, but in the fusion processes that occur in stars, including our sun.

The correct statements regarding the nuclear strong force are:

The nuclear strong force binds protons and neutrons within an atomic nucleus.The nuclear strong force is not affected by the charge of the nucleus, hence why it can bind positively charged protons despite their electrostatic repulsion.The nuclear strong force is very strong but only acts over very short distances - on the scale of an atomic nucleus.

a single 1,300 jk cargo car is rolling along a train track at 2.0 m/s when 400 kg of coal is dropped vertically into it. what is it’s velocity right afterward? assume a closed system.

Answers

Answer:

1.53 m/s

Explanation:

Given:

Mass of the car (M) = 1300 kg

Mass of the coal (m) = 400 kg

Initial velocity of the car (U) = 2 m/s

Initial velocity of the coal (u) = 0 m/s (Since it is dropped)

When the coal is dropped into the car, then they move with same final velocity.

Let the final velocity be 'v' m/s.

For a closed system, the law of conservation of momentum holds true.

So, initial momentum is equal to final momentum of the car-coal system.

Initial momentum of the car = [tex]MU=1300\times 2=2600\ Ns[/tex]

Initial momentum of the coal = [tex]mu=0\ Ns[/tex]

Total initial momentum is the sum of the above two momentums.

So, total initial momentum = 2600 + 0 = 2600 Ns

Now, final momentum is given as the product of combined mass and final velocity. So,

Final momentum of the system = [tex](M+m)v=(1300+400)v=1700v[/tex]

Now, from law of conservation of momentum,

Initial momentum = Final momentum

[tex]2600=1700v\\\\v=\frac{2600}{1700}\\\\v=1.53\ m/s[/tex]

Therefore, the final velocity of either of the two masses is same is equal to 1.53 m/s.

Final answer:

To find the final velocity of the car after the coal is dropped, we can use the principle of conservation of momentum.

Explanation:

To solve this problem, we can use the principle of conservation of momentum. The momentum before the coal is dropped vertically into the car is given by the product of the mass and velocity of the car, which is 1,300 kg×2.0 m/s = 2,600 kg×m/s. After the coal is dropped, the total momentum of the system should remain the same since there is no external force acting on it. Therefore, the final velocity of the car can be calculated by dividing the total momentum by the new total mass of the car and coal, which is 1,300 kg + 400 kg = 1,700 kg.


Using the equation:


(initial momentum) = (final momentum)


(1,300 kg × 2.0 m/s) = (1,700 kg × v)


Solving for v, we find that the final velocity of the car after the coal is dropped is approximately 1.529 m/s.

How to find final velocity

Answers

Answer:

Explanation:

The equation or formula for velocity is similar to speed. To figure out velocity, you divide the distance by the time it takes to travel that same distance, then you add your direction to it.

Final answer:

To calculate final velocity, identify the knowns (initial velocity, acceleration, time), determine the unknown (final velocity), use the equation v = vo + at, and solve by substituting values into the equation.

Explanation:

To find the final velocity of an object, you must first:

Identify the known values, such as initial velocity (vo), acceleration (a), and time (t).

Determine the unknown, which is the final velocity (v).

Select the appropriate equation to calculate final velocity. The standard equation used is v = vo + at.

Substitute the known values into the equation and solve for the final velocity.

For example, if the initial velocity is 70.0 m/s, the acceleration is -1.50 m/s², and the time is 40.0 s, you would calculate the final velocity as follows:

v = vo + at = 70.0 m/s + (-1.50 m/s²) (40.0 s) = 10.0 m/s

This calculation reveals that the final velocity of the object after 40 seconds is 10.0 m/s.

A 40 kg gymnast somersaults into a foam ball pit at a speed of 7 m/s. If the foam applies an average resistive force of 1,000 N, how far into the pit will the gymnast sink before she stops?

Answers

The distance covered is 0.98 m

Explanation:

Newton's second law states that the force applied on the gymnast is equal to the product between its mass and its acceleration:

[tex]F=ma[/tex]

where in this case,

F = -1000 N is the force applied (negative since it is opposite to the direction of motion)

m = 40 kg is the mass

a is the acceleration

Solving for a,

[tex]a=\frac{F}{m}=\frac{-1000}{40}=-25 m/s^2[/tex]

Since the motion of the gymnast is a uniformly accelerated motion, we can now apply suvat equations:

[tex]v^2-u^2=2as[/tex]

where

v = 0 is the final velocity of the gymnast

u = 7 m/s is the initial velocity

[tex]a=-25 m/s^2[/tex] is the acceleration

s is the distance through which the gymnast moves before stopping

And solving  for s,

[tex]s=\frac{v^2-u^2}{2a}=\frac{0-7^2}{2(-25)}=0.98 m[/tex]

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Final answer:

Using the principles of work and kinetic energy, we can calculate that the gymnast will sink 0.98 meters into the foam pit before coming to a stop.

Explanation:

In this physics problem, we are dealing with the principles of work and kinetic energy. The work done to stop the gymnast can be calculated using the formula W=Fxd, where F is the resistive force, and d is the distance. It’s also equal to the change in kinetic energy, which can be found using KE = 0.5mv^2.

To calculate the distance into the pit the gymnast will sink, we first calculate her initial kinetic energy. It’s KE = 0.5*(40 kg)*(7 m/s)^2 = 980 Joules. The work done to stop her (which is equal to her initial kinetic energy) is W = 980 Joules. Now, solve the work equation for distance: d = W/F = 980 Joules / 1000 N = 0.98 m. So, the gymnast will sink 0.98 meters into the foam pit before she stops.

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A train travels 55 km south along a straight track in 34 minutes. What is the train's average velocity in kilometers per hour?​

Answers

Hopefully I’m not late and I apologize if I am, but the answer to your question would be 95.6 km/hr. You know you can look up your question as well to see if they already have a answer to that so you won’t waste your points.

Answer: v = 96.5 km/h

Explanation: Solve this problem using the following equation:

v= d/t

First convert t in minutes into hours

34 mins x 1 hour / 60 mins

= 0.57 h

Substitute the values

v = 55 km / 0.57 h

= 96.5 km/h

A balloon has a volume of 1.5-L at 25*C. What would be the volume of the balloon if it were placed in a container of hot water at 90*C?

Answers

Answer:

1.8 L

Explanation:

Ideal gas law:

PV = nRT

where P is absolute pressure,

V is volume,

n is number of moles,

R is the gas constant,

and T is absolute temperature.

Rearranging:

V / T = nR / P

Since n, R, and P are constant:

V₁ / T₁ = V₂ / T₂

1.5 L / (298.15 K) = V / (363.15 K)

V = 1.8 L

Charles's Law is used to find the new volume of a balloon when heated from 25°C to 90°C. Converting these temperatures to Kelvin and solving gives a new volume of 1.83 L.

The question involves understanding how the volume of a gas changes with temperature, governed by Charles's Law, which states that the volume of a gas at constant pressure is directly proportional to its temperature in Kelvin. To find the new volume of a balloon when its temperature is increased from 25°C to 90°C, we first convert these temperatures to Kelvin (°K) because the gas law uses absolute temperatures. The formula to convert Celsius to Kelvin is K = °C + 273.15. Thus, the original temperature is 298.15 K (25 + 273.15), and the new temperature is 363.15 K (90 + 273.15).

Using Charles's Law (V1/T1 = V2/T2), where V1 is the original volume (1.5 L), T1 is the original temperature (298.15 K), V2 is the final volume, and T2 is the final temperature (363.15 K), we can solve for V2. Rearranging the formula gives us V2 = V1 * (T2/T1).

Substituting the given values, V2 = 1.5 L * (363.15 K / 298.15 K) = 1.5 L * (1.218) = 1.83 L. Therefore, the volume of the balloon when placed in a container of hot water at 90°C would be 1.83 L.

Which of the following best describes the picture shown below?

Answers

Answer:

b

Explanation:

its b

As per the image depicted the picture shows us the arrow and the target to be hit.

As per the picture 2 or 3 arrows have been shown in the green region that is quite far form the spot in red. This shows the concept of poor or low accuracy and high precession as all of them are in same place.

Hence the option B is correct.

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Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their
answers
Class A (2,5,7,6,4,3,8.7.4,5,7,6,3,5, 4.2.4.6.3.5)
Class B. (3.7.6. 4.3.2.4,5,6,7.2.2.2.3, 4.5, 2, 2.5,6)
Which statement is true for the data sets?
A.
The mean study time of students in Class A is less than students in Class B.
B.
The mean study time of students in Class B is less than students in Class A
C.
The median study time of students in Class B is greater than students in Class A
D.
The range of study time of students in Class A is less than students in Class B
E.
The mean and median study time of students in Class A and Class B is equal

Answers

The answer from the given option is The mean study time of students in class B is less than the students in class A.

Explanation:

Mean is defined as the ratio of the sum of the given terms to the number of the given terms. (i.e. sum divided by the count). In short, it is the average of the number.

There are three types of mean:

Arithmetic mean(AM), Geometric mean(GM)Harmonic mean(HM).

Here in class A,  

  Mean in class A = (2+5+7+6+4+3+8+7+4+5+7+6+3+5+4+2+4+6+3+5) / 20

                                = 4.8.

  Mean in class B = (3+7+6+4+3+2+4+5+6+7+2+2+2+3+4+5+2+2+5+6) / 20

                                = 4.

Hence mean study time of class B is less than the mean study time of class A.

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