Let's assume raspberries are 10 wt% protein solids and the remainder water. When making jam, raspberries are crushed and mixed with sugar, in a 45:55 berry to sugar ratio, by mass. Afterward, the mixture is heated, boiling off water until the remaining mixture is 0.4 weight fraction water, resulting in the final product, jam. How much water, in kilograms, is boiled off per kilogram of raspberries processed

Answers

Answer 1

Answer:

The mass of water boiled off is \(0.0 \overline{185}\) kg

Explanation:

The given percentage by weight of protein solids in raspberries = 10 weight%  

The ratio of sugar to raspberries in ja-m = 45:55

The mass of the mixture after boiling = 0.4 weight fraction water

Let 's' represent the mass of sugar in the mixture, and let 'r' represent the mass of raspberry

The mass of raspberry, r = 1 kg

The percentage by weight of water in raspberry = 90 weight %

The mass of water in 1 kg of raspberry =  90/100 × 1 kg = 0.9 kg

The ratio of the mass of sugar to the mass of raspberry in jam = r/s = 45/55

∴ s = 1 kg × 55/45 = 11/9 kg

The mass of the mixture before boiling = 1 kg + 11/9 kg = 20/9 kg

The weight fraction of water in the remaining mixture after boiling = 0.4 weight fraction

Let 'w' represent the mass of water boiled off, we have;

(0.9 - w)/(20/9 - w) = 0.4

(0.9 - w) = 0.4 × (20/9 - w)

0.9 - w = 8/9 - 0.4·w

9/10 - 8/9 = w - 0.4·w = 0.6·w = (6/10)·w

(81 - 80)/(90) = (6/10)·w

1/90 = (6/10)·w

w = ((10/6) × 1/90) = 1/54

w = 1/54  

The mass of water boiled off, w = (1/54) kg = \(0.0 \overline{185}\) kg


Related Questions

Help pleaseeeee!
If a force of 12 N is applied to a 4.0 kg object, what acceleration is produced?

Answers

Answer:

The answer is 3 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

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

where

f is the force

m is the mass

From the question we have

\(a = \frac{12}{4} \\ \)

We have the final answer as

3 m/s²

Hope this helps you

URGENT PLEASE... SAVE ME FROM THIS HW
An object at rest starts accelerating. If it travels 40 meters to end up going 20 m/s, what was its acceleration.

Answers

Answer: The car's acceleration is 5m/s^2
^ 3.0
Explanation: The acceleration is the change in
velocity per unit time.
Here the initial velocity is O the final velocity is
20.
So this formula is applicable.
V^2= u^2 + 2as
20^2 = 0^2+ 2a (s)

Answer:

The car's acceleration is 5m/s^2

Explanation:

acceleration is the change in velocity per unit time.

so this formula will work.

V^2= u^2 + 2as

20^2 = 0^2+ 2a (s)

Why does the man fly out of the car?
A. Newtons 1st Law
B. Newtons 2nd Law
C. Newtons 3rd Law

Why does the man fly out of the car?A. Newtons 1st LawB. Newtons 2nd LawC. Newtons 3rd Law

Answers

Newton’s 1st law: an object in motion stays in motion unless acted on by an outside force
the answer would be A!!

SOMEONE HELP ASAP: Match the definitions

SOMEONE HELP ASAP: Match the definitions

Answers

Answer:

Incident Ray:- A ray of light that strikes a surface.

Focal point:- Location where parallel rays of radiation meet after being refracted or reflected.

Principal axis:- Line passing through the center of the surface of a lens or spherical mirror.

Focal length:- Distance between the center of a convex lens or mirror and the focal point of the lens or mirror.

Normal:- A line perpendicular to the surface at a particular point.

Convex:- Curving outward with edges pointing away from the viewer .

Refracted:- Changed direction after passing from one medium to another.

Concave:- lens or mirror curving inward so the edges point toward the viewer.

Reflected:- bounced off of a surface.

Select ALL the
correct answers.
Which two examples describe ways that corporations can give large donations to presidential candidates?
A corporation leader makes
direct payment to the candidate.
A corporation creates another company to accept candidate contributions
A corporation collects moneys from its employees to contribute to
A corporation contributes to a Super PAC that
a PAC
accepts contributions
for a candidate,
Reset
Next

Answers

Answer: Hope this helps ;) don't forget to rate this answer !

Explanation:

There are two correct answers:

A) A corporation leader makes direct payment to the candidate.

D) A corporation contributes to a Super PAC that a PAC accepts contributions for a candidate.

Option A describes a scenario where a corporation directly donates money to a presidential candidate, which is allowed as long as it is done within the limits set by campaign finance laws.

Option D describes a scenario where a corporation donates money to a Super PAC, which is a type of political action committee that can accept unlimited donations from individuals, corporations, and other organizations. The Super PAC can then use the money to support or oppose a particular candidate, but it is not allowed to coordinate directly with the candidate or the candidate's campaign.

I hope this helps! Let me know if you have any other questions.

Within the living area of the colony, what atmospheric gases must be present on Venus?

Answers

Humans would need a breathable environment like that on Earth in the living section of a colony on Venus in order to survive. Nitrogen, oxygen, and trace amounts of other gases, such as carbon dioxide, make up the majority of the atmosphere on Earth.

What gases are present in Venus' atmosphere?

The clouds are made of sulfuric acid, and the atmosphere is primarily carbon dioxide, the same gas that causes the greenhouse effect on Venus and Earth. And the heated, high-pressure carbon dioxide acts corrosively at the surface.

What gases are found in Mars' and Venus' atmospheres?

For instance, compared to Earth, which has 99% nitrogen and oxygen in its atmosphere, Venus and Mars both contain more than 98% carbon dioxide and nitrogen.

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Explain three ways energy moves through the water cycle.

Urgent help!!

Answers

Answer:

Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow

Explanation:

its basiclly luquid, water vapor, and the form of clouds.

A negatively charged particle is travelling in a magnetic field. This is represented in
Fig. 9.1. The direction of the magnetic field is into the page.

 A negatively charged particle is travelling in a magnetic field. This is represented inFig. 9.1. The

Answers

The right hand rule allows to find the result for the direction of the magnetic force is:

In the attachment we see the direction of the force. The force is parallel to the page pointing to the right.

Magnetic force.

The magnetic force is given by the cross product of the velocity of the particle by the magnetic field, by the cross product the three vectors are perpendicular.

             F= q v x B

Where bold indicates vectors, F is force, q is charge, v is velocity, and B is magnetic field.

The right hand rule.

The direction of the force can be obtained from the right hand rule, for a positive particle:

The thumb points in the direction of the speed. Extended fingers point in the direction of the magnetic field. The palm of the hand is in the direction of the force.  In the case of a negative charge the force direction is opposite.

In the attachment we see a diagram of these vectors, using the right-hand rule:

The thumb is in the direction of the particle speed.

The extended fingers are entered into the page that is the difference of magnetic field.

The palm of the hand, which is the direction of the force, is in the plane of the page and because it is negatively charged, it points to the right.

In conclusion using the right hand rule we can find the result for the direction of the magnetic force is:

In the attachment we see the direction of the force. The force is parallel to the page to the right.

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 A negatively charged particle is travelling in a magnetic field. This is represented inFig. 9.1. The

How does something(the big bang) come from nothing by nothing i mean the first universe although we don't know where the first universe is but we do know that nothing can't come from something.

Answers

The Big Bang theory is the most widely accepted explanation for the origins of the universe, but it does not necessarily imply that the universe emerged from nothing.

It is possible that new discoveries or insights may shed light on this fundamental question in the future. The universe may have arisen from a pre-existing state or through some other natural process that we do not yet understand.

Instead, the theory describes how the universe underwent a rapid expansion from a very dense and hot state. The conditions and laws of physics that applied during the earliest moments of the universe may not necessarily be the same as those we observe today, and there are many unknowns and uncertainties in our understanding of these early stages.

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pls help I will give brainlyst physics

pls help I will give brainlyst physics
pls help I will give brainlyst physics
pls help I will give brainlyst physics

Answers

The answer to the given questions are:

The cause of the universe: A closed, simultaneous causal loop at the first instant of timeThe size of the universe: It is 46.1 billion light years in radius.The object that controls gravity: The earth's mass

What is a Hypothesis?

This refers to the proposed explanation of a phenomenon and this leads to further investigation.

Hence, we can see that based on your given question, the cause of the universe, its size, and the object that controls gravity were all answered above.

Gravity is the force or pull that an object or body has when it brings others to its center.

Mathematically, it can be denoted as:

F= \(G \frac{m_1 m_2}{r^2}\)

This is the Newton's law of universal gravitation

It should be noted that some parts of your question were incomplete, so the complete ones were answered, while general overview wa s given for the incomplete ones.

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why does sound travel faster in metal than in air

Answers

Sound travel faster in metal than air becoz molecules of metal i.e solid are closely packed and it will take less time for sound waves to travel from one molecule to another whereas in air i.e in gas,molecules are far apart so it will take more time for sound waves to travel.In case of vacuum there are no molecules at all so sound is not there.that is why in space we cannot hear anything.

HOPE THIS HELP<3

A drawback of burning biomass to produce electricity is that it is ___.

A. Nonrenewable
B. Very costly to use
C. A source of air pollution
D. Not available in many areas ​

Answers

Answer: Unsustainable wood harvesting can lead to deforestation, soil erosion, and desertification.

Explanation: you welcome

A drawback of burning biomass to produce electricity is that it is very costly to use. Option B is correct.

What is biomass?

Biomass is a low-carbon fuel that is renewable, since a fresh crop can be planted after each harvest.

The chemical formula for biomass is about CHO. It's comparable to coal, except with the addition of an oxygen atom.

The drawbacks of biomass Energy

1. It's not quite clean.

2. High prices in comparison to other options.

3. Deforestation is a possibility.

4. Water is required.

5. It is inefficient.

A drawback of burning biomass to produce electricity is that it is very costly to use.

Hence, option B is correct.

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How much heat would be required to melt 2 grams of pure water ice at 0⁰C and raise its temperature
to 10⁰C? (Hint: 80 calories are needed to melt 1 gram of pure water ice at 0⁰C; and 1 calorie is the
amount of heat required to raise the temperature of 1 gram of pure water by 1⁰C)
a) 20 calories
b) 80 calories
c) 160 calories
d) 170 calories
e) 180 calories

Answers

The heat that would be required to melt 2 grams of pure water ice at 0⁰C and raise its temperature to 10⁰C is 20 calories (option A).

How to calculate heat?

The heat energy that can be calculated using the following expression;

Q = mc∆T

Where;

Q = quantity of heat energym = mass of substancec = specific heat capacity∆T = change in temperature

According to this question, 2 grams of pure water ice melt at 0⁰C and raise its temperature to 10⁰C. The heat can be calculated as follows:

Q = 2 × 4.184 × (10°C - 0°C)

Q = 83.68J

Q = 20 calories

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The short-term effects of marijuana can include __________.


Answers

Answer:

Explanation:

Increased heart rate

A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?

Answers

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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A ray of light is incident on a plane mirror and the angle of reflection is 50 degrees. What is the angle between the incident ray and the normal?

Answers


The angle of incidence is equal to the angle of reflection. As a result, the angle formed by the incidence and reflected rays is 100°.

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A car is traveling at a constant speed on the highway. Its tires have a diameter of 68.0 cm and are rolling without sliding or slipping. If the angular speed of the tires is 55.0 rad/s , what is the speed of the car?

Answers

Answer:

37.4m/s

Explanation:

since the car doesn't accelerate, we can use the formula v=ωr where v is linear speed, ω is angular speed (rads/second) and r is radius. Substitute values for equation:

v=55*0.68

v=37.40

2. Classify Identify the following materials as thermal conductors or
thermal insulators: a wooden spoon, an iron frying pan, a plastic spatula,
a steel fork.

Answers

Answer -
Wooden spoon: thermal insulator
Iron frying pan: thermal conductor
Plastic spatula: thermal insulator
Steel fork: thermal conductor

Hope this helps

Which phrase is an example of kinetic energy?

Answers

A roller coaster going up and down, I’m literally studying this in my science class 8th grade

Have an AWESOME day! :)

what is the deceleration of the rocket stud if it comes to rest in 1.1s from a speed of 1,000 km/h?

Answers

The rocket comes to rest from an initial velocity  of 1000 km/h  or 277.7 m/s within 1.1 seconds. Then the deceleration of the rocket stud  is - 252.52  m/s² .

What is deceleration ?

The acceleration of an object is the rate of change in velocity. The term "accelerating" is used to indicate the positive change in velocity. Deceleration is just opposite, it indicates the decreasing rate of velocity.

acceleration a=  v - u/t

where v is the final velocity and u be the initial velocity.

Given t = 1.1 s

v = 0 since the rocket is going to rest.

u = 1000 km/hr

  = 277.7 m/s.

Then a = 0 - 277.7 m/s/ 1.1 s

            = - 252.52  m/s²

Therefore, the deceleration of the rocket is -252.52  m/s² .

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Predicted height and total energy

Predicted height and total energy

Answers

Answer:

The predicted height is 2.809 meters, writing this in centimeters we get (1m = 100cm):

h = 2.809 m = (2.809)*(100cm) = 280.9 cm

And the total energy is:

E = 6.696 J

Explanation:

First let's see the problem.

We have an object of mass m = 274g which is thrown upwards with an initial velocity v0 = 6.991 m/s, in a place with a gravitational acceleration of g = 8.7 m/s^2

When the object is on the air, the only force acting on it will be the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration, then we can write:

a(t) = -8.7 m/s^2

Where the negative sign is because this acceleration points down.

Now to get the velocity of the object we can integrate over time to get:

v(t) = (-8.7 m/s^2)*t + v0

Where v0 is a constant of integration, which is the initial velocity, then we can write this as:

v(t) = (-8.7 m/s^2)*t + 6.991 m/s

Now we can integrate again over the time to get the position equation.

p(t) = (1/2)*(-8.7 m/s^2)*t^2 + (6.991 m/s)*t + p0

Where p0 is the initial position, because the ball is being thrown from the ground, the initial position is 0.

Then the position equation is:

p(t) = (1/2)*(-8.7 m/s^2)*t^2 + (6.991 m/s)*t

Ok, now we know all the movement equations for the object.

The first thing we want to know is the maximum height of the object.

We know that the object reaches its maximum height when the velocity is zero (this is, the velocity stops being positive, meaning that the object stops going up, then in that time we have the maximum height)

We need to solve:

v(t) = 0m/s = (-8.7 m/s^2)*t + 6.991 m/s

(8.7 m/s^2)*t =  6.991 m/s

t =  6.991 m/s/( (8.7 m/s^2)  = 0.804 seconds

The maximum height of the object is given by:

p(0.804s) = (1/2)*(-8.7 m/s^2)*(0.804)^2 + (6.991 m/s)*(0.804) = 2.809 m

The maximum height of the object is 2.809 meters.

Now let's find the maximum energy.

Remember that the energy of an object can be written as the sum of the potential energy U and the kinetic energy K.

E = K + U

Such that for an object of mass m and velocity v, the kinetic energy is:

K = (1/2)*m*v^2

And for an object of mass m, at a height h from the ground and with gravitational acceleration g, the potential energy is:

U = m*g*h

Now, when the object is at its maximum height, the velocity is zero.

Then K = 0

And for conservation of energy, the total energy of the object becomes potential energy.

E = 0 + U

E = U

So if we find the potential energy at the maximum height of the object's path, we can find the total energy of the object.

We know that:

mass = m = 274g = 0.274 kg  (here i used that 1kg = 1000g)

height = h = 2.809 meters.

gravitational acceleration = g = 8.7 m/s^2

Then the potential energy at this point is:

U =  0.274 kg*(2.809 meters)*(8.7 m/s^2) = 6.696 J

This means that the total energy of the object is:

E = 6.696 J

The velocity of sound in air being 332 ms-1 at 0°C. Find the change in velocity per degree rise in temperature.​

Answers

Answer:

I think the velocity of sound in air at 0°C is 332m/s.

Explanation:

It increases by `0.6m//s` for each °Celsius rise in temperature.

The wavelength of sounds= 169Hz at 273+10=283K .

Now, formula becomes

v=nλ

or, where v= velocity, n= frequency, λ= wavelength

⇒λ= nv = 169 332= 1.9 m

The change in velocity of sound per degree Celsius can be calculated using the formula:

Δv/ΔT = 0.6 m/s/°C

Where Δv is the change in velocity and ΔT is the change in temperature.

To find the change in velocity per degree rise in temperature, we substitute the given velocity of sound at 0°C and the temperature change of 1°C:

Δv/ΔT = 0.6 m/s/°C

Δv/1°C = 0.6 m/s/°C

Δv = 0.6 m/s

Therefore, the change in velocity per degree rise in temperature is 0.6 m/s.

The scientific method is?
A) A way to use scientific measurements
B) A group of logical science questions
C) A method used to answer scientific question
D) A series of random science discoveries

Answers

C) A method used to answer a scientific question

The whole purpose of the scientific method is to answer a scientific question that we come up with
C.

The scientific method is used to answer a wide variety of scientific questions making C the best choice.

Write a hypothesis about the effect of the racetrack’s height on the speed of the car using the format of "if…then…because….” Be sure to answer the lesson question "How can motion be described?”

Answers

Answer:

Sample Response: If the starting height of a sloped racetrack is increased, then the speed at which a toy car travels along the track will increase because the toy car will have a greater acceleration.

Explanation:

Sample Response: If the starting height of a sloped racetrack is increased, then the speed at which a toy car travels along the track will increase because the toy car will have a greater acceleration.

just in case ur one of the people who like to double-check ur answer before turning it in or before u go onto the next thing u have to work on for the day(if ur doing online school) here u go the person above is 100% correct but here it is again if u like to double-check like I do

How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food

A. The amount of oxygen in the atmosphere increased

B. Mass extinctions occurred

C. The oceans became larger

D. Rainfall increased

Answers

The amount of oxygen in the air was increased

If the instantaneous voltage at a given moment in the circuit RL is V=VmaxSIN(150), then the instantaneous current at the...... same instant I=Imaxsin​

Answers

The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.

1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).

2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.

3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.

4. However, the given equation does not explicitly mention resistance.

5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).

6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.

7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).

8. Therefore, V = VR + VL.

9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.

10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.

The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.

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A stretched string is 120 cm long and has a linear density of 0.022 g/cm. What tension in the string will result in a second harmonic of 590 Hz

Answers

Answer:

T = 15,576 N

Explanation:

The speed of a wave on a string is given by

        v = √ T /ρ rho

also the speed of the wave is given by the relationship

       v = λ f

we substitute

     λ f = √ T /ρ

       

T = (lam f)² ρ

let's find the wavelength in a string, fixed at the ends, the relation that gives the wavelength is

       L= λ/2 n

       λ= 2L / n

we substitute

      T = (2L / n f)²ρ rho

let's calculate

      T = (2 1.20 / 2 590) 0.022

      T = 15,576 N

A 2.56×104-kg rocket blasts off vertically from the earth's surface with a constant acceleration. During the motion considered in the problem, assume that g remains constant. Inside the rocket, a 13.6-N instrument hangs from a wire that can support a maximum tension of 27.5 N .
a)Find the minimum time for this rocket to reach the sound barrier (330m/s)
without breaking the inside wire.
b)Find the maximum vertical thrust of the rocket engines under these conditions.
c)How far is the rocket above the earth's surface when it breaks the sound barrier?

Answers

a. The minimum time for the rocket to reach the sound barrier is 33.67 seconds.

b. The maximum vertical thrust of the rocket engines under these conditions is 250,893.6 N.

c. The rocket is 5548.1 meters above the Earth's surface when it breaks the sound barrier.

To solve this problem, we'll use Newton's second law of motion (F = ma) and consider the forces acting on the rocket and the instrument inside.

Calculating the minimum time for the rocket to reach the sound barrier without breaking the inside wire.

a) Minimum time to reach the sound barrier:

Given:

Mass of the rocket (m) = 2.56 × \(10^4\) kg

Acceleration due to gravity (g) = 9.8 m/\(s^2\)

Maximum tension the wire can support (T_max) = 27.5 N

Weight of the instrument (W) = mass of the instrument × acceleration due to gravity = 13.6 N

The forces acting on the instrument inside the rocket are its weight (W) and the tension in the wire (T). At maximum tension, the net force on the instrument is zero.

T - W = 0

T = W

Therefore, the maximum tension in the wire is equal to the weight of the instrument, which is 13.6 N.

Now, let's determine the acceleration of the rocket. The total force acting on the rocket is the sum of the rocket's weight (mg) and the tension in the wire (T).

F_total = mg + T

F_total = (2.56 × \(10^4\) kg)(9.8 m/\(s^2\)) + 13.6 N

F_total = 250,880 N + 13.6 N

F_total = 250,893.6 N

Since we're assuming the rocket's acceleration is constant.

we can use Newton's second law:

F_total = ma

250,893.6 N = (2.56 × \(10^4\) kg)a

Solving for acceleration:

a = 250,893.6 N / (2.56 × \(10^4\) kg)

a ≈ 9.8 m/\(s^2\)

The acceleration of the rocket is approximately 9.8 m/\(s^2\), which is the same as the acceleration due to gravity.

To find the minimum time to reach the sound barrier, we can use the following equation of motion:

v = u + at

where,

v = final velocity (sound barrier velocity = 330 m/s)

u = initial velocity (which is zero since the rocket starts from rest)

a = acceleration

t = time

330 m/s = 0 + (9.8 m/\(s^2\))t

Solving for t:

t = 330 m/s / 9.8 m/\(s^2\)

t ≈ 33.67 s

Therefore, the minimum time for the rocket to reach the sound barrier without breaking the inside wire is approximately 33.67 seconds.

b) Maximum vertical thrust of the rocket engines:

The maximum vertical thrust of the rocket engines is equal to the total force acting on the rocket, which we calculated earlier:

Maximum vertical thrust = F_total

Maximum vertical thrust ≈ 250,893.6 N

Therefore, the maximum vertical thrust of the rocket engines under these conditions is approximately 250,893.6 N.

c) Distance above the Earth's surface when breaking the sound barrier:

To determine the distance above the Earth's surface when breaking the sound barrier, we can use the following equation of motion:

s = ut + (1/2)at^2

where,

s = distance

u = initial velocity (which is zero)

a = acceleration

t = time it takes to reach the sound barrier (33.67 s).

s = 0 + (1/2)( 9.8 m/\(s^2\))\((33.67 s)^2\)

s = (\(4.9 m/s^2\))(1132.8289 \(s^2\))

s ≈ 5548.1 m

Therefore, the rocket is approximately 5548.1 meters (or 5.55 kilometers) above the Earth's surface when it breaks the sound barrier.

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A rocket traveling at 36.96 m/s is accelerated uniformly to 74.44 m/s over a 21.37 s interval. What is its displacement during this time?

Answers

Answer:

s = 1190.3 m = 1.19 km

Explanation:

First we find the acceleration by using first equation of motion:

Vf = Vi + at

where,

Vf = Final Velocity = 74.44 m/s

Vi = Initial Velocity = 36.96 m/s

a = acceleration = ?

t = time = 21.37 s

Therefore,

74.44 m/s = 36.96 m/s + a(21.37 s)

a = (74.44 m/s - 36.96 m/s)/21.37 s

a = 1.75 m/s²

Now, we use 2nd equation of motion to find distance covered (s):

s = Vi t + (1/2)at²

s = (36.96 m/s)(21.37 s) + (1/2)(1.75 m/s²)(21.37 s)²

s = 789.83 m + 400.47 m

s = 1190.3 m = 1.19 km

(a) Calculate the force (in N) the woman in the figure below exerts to do a push-up at constant speed, taking all data to be known to three digits. (You may need to use torque methods from a later chapter.) 401.15

(b)How much work (in J) does she do if her center of mass rises 0.260 m?

(c) What is her useful power output (in W) if she does 30 push-ups in 1 min? (Should work done lowering her body be included? See the discussion of useful work in Work, Energy, and Power in Humans.)

(a) Calculate the force (in N) the woman in the figure below exerts to do a push-up at constant speed,

Answers

The force is 400.2 N

The work done is 120 J

The power is 48W

What is Force?

Force is a physical concept that describes the influence that one object has on another object, causing it to accelerate or deform. Force can be defined as any influence that changes the motion of an object, such as a push or a pull.

How to solve:

under equilibrium condition

F * 1.45 m =68 kg * 9.81 m/s^2 *0.87 m

F =400.2 N

b)

work done = m*g*h =68 kg*9.81 m/s^2*0.180 m =120.0744 J =120 J

c)

power =120.0744 J *(24 /60 s) =48.02976 W = 48 W

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