What must be your car's average speed in order to travel 225 km in 3.35 h ?

Answers

Answer 1

Explanation:

Rate  X  Time  =   Distance

Distance  / Time  = Rate

225 km / 3.35 hr = 67.2 km/hr


Related Questions

The work of forensic engineers who investigate fires _____. identifies what started the fire and where it stated identifies what started the fire and where it stated does not consider explosions does not consider explosions is relatively simple is relatively simple is usually done by the firefighting team

Answers

The work of forensic engineers who investigate fires involves identifying what started the fire and where it originated, and it does not solely focus on explosions. This process is not relatively simple and is typically conducted by specialized forensic teams rather than firefighting personnel.

Forensic engineers play a crucial role in investigating fires to determine their cause and origin. Their primary objective is to gather evidence and analyze it in order to understand the circumstances surrounding the fire incident.

1. Scene Assessment: Forensic engineers begin by assessing the fire scene. They examine the area to gather initial information about the fire's intensity, pattern, and potential sources.

2. Evidence Collection: Next, the investigators collect physical evidence from the fire scene. This may involve gathering debris, examining burn patterns, and documenting any signs of accelerants or other substances that could have contributed to the fire.

3. Documentation: Forensic engineers meticulously document their findings through photographs, sketches, and written notes. This documentation serves as a crucial reference throughout the investigation process.

4. Laboratory Analysis: Collected evidence is then analyzed in specialized laboratories. Forensic experts employ various techniques such as chemical analysis, microscopy, and other scientific methods to determine the cause of the fire.

5. Report Preparation: Once the analysis is complete, forensic engineers prepare detailed reports outlining their findings. These reports serve as valuable resources for insurance companies, legal proceedings, and future fire prevention efforts.

It is important to note that the work of forensic engineers primarily focuses on identifying the cause and origin of the fire. While they consider various possibilities, including explosions, their investigation is not limited to solely investigating explosions.

Moreover, the process of investigating fires is complex and requires specialized knowledge and expertise. It is typically carried out by dedicated forensic teams rather than the firefighting personnel.

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27/13 AL + 4/2 He -> ? + 1/On
Please help!!!!!! What’s the missing species???

Answers

The missing species of the nuclear reaction obtained is ³⁰₁₅P

How do i determine the missing species?

The missing species of the equation can be obtain as follow:

Let the missing species be ʸₓZ

Now, we can obtain the value of x, y and Z as follow:

²⁷₁₃Al + ⁴₂He -> ʸₓZ + ¹₀n

For x

13 + 2 = x + 0

15 = x

x = 15

For y

27 + 4 = y + 1

31 = y + 1

Collect like terms

y = 31 - 1

y = 30

For Z

ʸₓZ => ³⁰₁₅Z

From the period table, the element with atomic number of 15 is phosphorus, P. Thus, we have

ʸₓZ => ³⁰₁₅Z => ³⁰₁₅P

Therefore, we can write the complete equation as:

²⁷₁₃Al + ⁴₂He -> ³⁰₁₅P + ¹₀n

Thus, the missing species is ³⁰₁₅P

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A fish is swimming in the ocean at a depth with 14 atm of absolute pressure. If the fish swims up towards the surface, to a depth
that is now one third where it started, what is the gauge pressure at this depth?
4.67 atm
O 5.67 atm
3.67 atm
1.25 pts
O 4.33 atm

Answers

The gauge pressure at the new depth is determined as 3.67 atm.

What is the gauge pressure?

The gauge pressure at the new depth is calculated by applying the following formula.

The absolute pressure at the new depth  is;

abs P = (1/3) x 14 atm

abs P = 4.67 atm

The gauge pressure at the new depth is calculated as;

Gauge pressure = Absolute pressure at the new depth - Atmospheric pressure

G P = 4.67 atm - 1 atm

G P = 3.67 atm

Therefore, the gauge pressure at the new depth is 3.67 atm.

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A rollar coaster moves over the creast at location 1 at 10 m/s. HOw fast is it going at location 4? Neglect friction and air resistance.

Answers

The velocity of the roller coaster at location 4 is 14.14 m/s (approx) using the given values of v₁ = 10 m/s, h₁ = 30 m, and h₂ = 15 m.

Roller coasters are fascinating machines that deliver an exhilarating experience by defying gravity and physics. Roller coaster physics is a significant concept to comprehend before riding a roller coaster or designing one. The laws of physics govern the motion of a roller coaster, including its velocity, acceleration, and potential energy.

A roller coaster moves over a crest at location 1 with a speed of 10 m/s. The question is how fast it's going at location 4, considering the neglect of friction and air resistance. To solve this, we'll need to consider the conservation of energy law.

The total energy of the roller coaster remains constant throughout the ride, and we can convert between potential and kinetic energy.Using the conservation of energy formula, which is: E1 = E2Where E1 is the total energy of the roller coaster at the crest and E2 is the total energy of the roller coaster at location 4.

Both E1 and E2 comprise kinetic energy (KE) and potential energy (PE). So,E1 = KE1 + PE1E2 = KE2 + PE2Since the roller coaster has no friction and air resistance, we can assume that PE1 = PE2 because the height of the roller coaster doesn't change. The energy is converted from potential energy at the crest to kinetic energy at location 4.

We can now use the formula for kinetic energy:KE = (1/2) mv²Where m is the mass of the roller coaster and v is its velocity. Both E1 and E2 can be written in terms of KE, so: E1 = (1/2) mv₁²E2 = (1/2) mv₂².

Substitute the values into the conservation of energy formula: E1 = E2(1/2) mv₁² = (1/2) mv₂²

Simplifying the equation gives:v₂² = v₁²×(h₁ / h₂)

where h₁ is the height of the crest and h₂ is the height of location 4.

To calculate the velocity, we need to take the square root of both sides:v₂ = v₁×√(h₁ / h₂)

Therefore, the velocity of the roller coaster at location 4 is 14.14 m/s (approx) using the given values of v₁ = 10 m/s, h₁ = 30 m, and h₂ = 15 m.

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In a water pistol, a piston drives water through a larger tube of radius 1.30 cm into a smaller tube of radius 1.10 mm as in the figure below. Answer parts a-f.

Answers

It takes 0.47 seconds for water to travel from the nozzle to the ground when the water pistol is fired horizontally.

What is the time it takes for water to travel from the nozzle to the ground?

We will denote the height of the water pistol above the ground as h and the initial velocity of water exiting the nozzle as v2. Assuming negligible air resistance, we will analyze the vertical motion of the water droplets.

The vertical displacement of the water droplets is calculated using equation: h = (1/2) * g * t^2.

Rearranging equation, we solve for time:

t = sqrt(2h / g).

Given data:

Height h = 1.10 m and the acceleration due to gravity g = 9.8 m/s^2, we get:

t = sqrt(2 * 1.10 / 9.8)

t = 0.47380354147

t = 0.47 seconds.

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Suppose a distant world with surface gravity of 6.32 m/s^2 has an atmospheric pressure of 9.00 ✕ 10^4 Pa at the surface. Answer parts a-c.

Answers

The Force ≈ [tex]1.13 * 10^6 N[/tex]

The Weight ≈ [tex]1.66 * 10^5 N[/tex]

Pressure ≈ 6.32 × 10⁴Pa

How to solve for the force

(a)

Force = Pressure × Area

Force = (9.00 × 10⁴ Pa) × (π × (2.00 m)²)

Force ≈ [tex]1.13 * 10^6 N[/tex]

(b)

Weight = Density × Volume × g

Weight = (415 kg/m³) × (π × (2.00 m)² × 10.0 m) × (6.32 m/s²)

Weight ≈ 1.66 × 10⁵ N

(c)

Pressure = Pressure at the surface + Density × g × depth

Pressure = [tex](9.00 * 10^4 Pa) + (415 kg/m^3)* (6.32 m/^2)* (10.0 m)[/tex]

Pressure ≈ 6.32 × 10⁴Pa

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A 73-g ice cube at 0°C is heated until 65.1 g has become water at 100°C and 7.9 g has become steam at 100°C. How much energy was added to accomplish the transformation? Answer is in kJ.

Answers

To calculate the energy required to accomplish the transformation, we need to use the formula:

Q = m * ΔH

where Q is the energy required, m is the mass of the substance, and ΔH is the enthalpy of transformation.

First, we need to calculate the energy required to melt the ice cube:

Q1 = 65.1 g * 334 J/g = 21783.4 J

Next, we need to calculate the energy required to vaporize the water:

Q2 = 7.9 g * 2260 J/g = 17894 J

The total energy required is:

Q = Q1 + Q2 = 39677.4 J = 39.6774 kJ

Therefore, the energy required to accomplish the transformation is 39.6774 kJ.

What is Moral subjectivism?

Answers

Answer:

What Is Moral Subjectivism? Moral subjectivism is based on an individual person's perspective of what is right or wrong. An individual can decide for themselves that they approve or disapprove of a certain behavior, and that is what determines if the behavior is right or wrong.

At time t = 0, a vessel contains a mixture of 14 kg of water and an unknown mass of ice in equilibrium at 0°C. The temperature of the mixture is measured over a period of an hour, with the following results: During the first 45 min, the mixture remains at 0°C; from 45 min to 60 min, the temperature increases steadily from 0°C to 2.0°C. Neglecting the heat capacity of the vessel, determine the mass of ice that was initially placed in the vessel. Assume a constant power input to the container. Answer is in kg.

Answers

The mass of ice that was initially placed in the vessel of neglected heat capacity was found to be 1.135 kg.


Given that,

Mass of water = 14 kg

Mass of ice = m kg

P = Power of the burner = dQ/dt

Rate of the heat given by the burner is constant.

In the first 45 min,

dQ/dt = mL/t1 = m x (80 x 4.2 x 10³)/45 min.               (1)

From 45 to 60 min,

dQ/dt = (m+14) x δ(Η₂Ο) x Δθ / t2 =(m+14) x (4.2 x 10³) x 2/ 15 min.            (2)

From (1) and (2)

m x (80 x 4.2 x 10³)/45 min = (m+14) x (4.2 x 10³) x 2/ 15 min

80m/3 = (m+14) x 2

80m = 6m + 84

m = 1.135 kg

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A small ferryboat is 4.50 m wide and 6.70 m long. When a loaded truck pulls onto it, the boat sinks an additional 4.70 cm into the river. What is the weight of the truck? Answer is in kN.

Answers

Explanation:

Volume of water displaced = 4.5 m  x  6.7 m   x  .047 m = 1.417 m3

mass of displaced water =

1.417 m3 x 1000kg / m3 = 1417 kg = 13900 N = 13.9 kN

The weight of the truck is approximately 187.8 kN.

Here's how to calculate it:

1. Calculate the volume of water displaced by the boat:

V = lwh = (6.70 m)(4.50 m)(0.047 m) = 1.439 m^3

2. Calculate the weight of the water displaced by the boat:

F = mg = (1.439 m^3)(1000 kg/m^3)(9.81 m/s^2) = 14.10 kN

3. Calculate the weight of the boat:

Fb = mg = (6.70 m)(4.50 m)(0.047 m)(1000 kg/m^3)(9.81 m/s^2) = 14.84 kN

4. Calculate the weight of the truck:

Ft = F + Fb = 14.10 kN + 14.84 kN = 28.94 kN

5. Convert the weight of the truck from N to kN:

Ft = 28.94 kN

Therefore, the weight of the truck is approximately 187.8 kN.

A satellite weighing 5,400 kg is launched into orbit 3.6400 x 107 m above the center of the earth.

The mass of Earth is 6.0 × 1024 kg. The gravitational constant is 6.673 × 10–11 N•m2/kg2.

The gravitational force of Earth on the satellite is ___



Group of answer choices

9.1 x 10^4

1.6 x 10^3

2.1 x 10^6

Answers

Answer:

[tex]\tt F=1.63*10^3 N[/tex]

Explanation:

Gravitational force is defined as the force of attraction between two objects with mass. It is a fundamental force of nature, and it is what keeps us on the ground and what keeps the planets in orbit around the Sun.

The gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers

For the Question:

We can use the following formula to calculate the gravitational force between the Earth and the satellite:

[tex]\boxed{\tt F =\frac{ G * M * m }{ r^2}}[/tex]

Where:

F is the gravitational force

G is the gravitational constant[tex]\tt (6.673 * 10^{-11} Nm^2/kg^2)[/tex]

M is the mass of the Earth [tex]\tt (6.0 * 10^24 kg)[/tex]

m is the mass of the satellite[tex]\tt (5,400 kg)[/tex]

r is the distance between the satellite and the center of the Earth [tex]\tt (3.6400 * 10^7 m)[/tex]

Plugging in these values, we get the following:

[tex]\tt F = \frac{6.673 * 10^{-11} * 6.0 * 10^{24}* 5,400 }{ (3.6400 * 10^7 )^2}[/tex]

[tex]\tt F=1.63*10^3 N[/tex]

Therefore, answer is [tex]\tt F=1.63*10^3 N[/tex]

What is indicated by the following displacement time graph ?

Answers

Answer:

The object in motion is deaccelerating in the negative direction.

Explanation:

Interpret the given position-time graph.

Observing the graph we can determine the slope is negative and is gradually flattening out. Thus, we can conclude the object in motion is deaccelerating in the negative direction.

A 66 kg driver gets into an empty taptap to start the day's work. The springs compress 2.3×10−2 m
. What is the effective spring constant of the spring system in the taptap?
Enter the spring constant numerically in newtons per meter using two significant figures

Answers

Explanation:

You want  N/m

 N = 66 * 9.81

 m = 2.3 x 10^-2 m

66* 9.81 / 2.3 x 10^-2  = 28150 =  28 000 N/m    to two S D

Joe is painting the floor of his basement using a paint roller. The roller has a mass of 2.4 kg and a radius of 3.8 cm. In rolling the roller across the floor, Joe applies a force F = 16 N directed at an angle of 35° as shown. Ignoring the mass of the roller handle, what is the magnitude of the angular acceleration of the roller?

Answers

The magnitude of the angular acceleration of the roller is approximately 108.8 rad/s².

To find the magnitude of the angular acceleration of the roller, we can use the rotational analog of Newton's second law: τ = Iα, where τ is the torque, I is the moment of inertia, and α is the angular acceleration.

First, let's calculate the moment of inertia of the roller. The moment of inertia of a solid cylinder rotating about its central axis is given by the formula: I = (1/2)mr², where m is the mass and r is the radius.

Given:

Mass of the roller (m) = 2.4 kg

Radius of the roller (r) = 3.8 cm = 0.038 m

Moment of inertia (I) = (1/2) * 2.4 kg * (0.038 m)² = 0.0021744 kg·m²

Next, we need to calculate the torque (τ) applied to the roller. Torque is given by the formula: τ = rFsin(θ), where r is the distance from the axis of rotation to the point of application of the force, F is the magnitude of the force, and θ is the angle between the force and the line connecting the axis of rotation and the point of application.

Given:

Force applied (F) = 16 N

Angle (θ) = 35°

Distance from the axis of rotation to the point of application (r) is equal to the radius of the roller, so r = 0.038 m.

Torque (τ) = (0.038 m) * (16 N) * sin(35°) = 0.2366 N·m

Now, we can use the equation τ = Iα and solve for the angular acceleration (α):

0.2366 N·m = (0.0021744 kg·m²) * α

α = 0.2366 N·m / 0.0021744 kg·m² ≈ 108.8 rad/s²

Therefore, the magnitude of the angular acceleration of the roller is approximately 108.8 rad/s².

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Chapter 3

#1) State Kepler's three laws in your own words.


#2) Write out Newton's three laws of motion in terms of what happens with the momentum of objects.

3) According to Kepler's second law, where in a planet's orbit would it be moving the fastest?
Where would it be moving the slowest?

#4) The gas pedal, the brakes, and the steering wheel all have the ability to accelerate a car- how?

#5) Explain how a rocket can propel itself using Newton's third law.

#6) A certain material has a mass of 565 g while occupying 50 cm³3 of space. What is this material?
(Hint, Use Table 3.1)

#7) What was the great insight Newton had regarding Earth's gravity that allowed him to develop the
universal law of gravitation?

Answers

Kepler's three laws are:

Law 1: Planets move in oval-shaped paths around the Sun, and the Sun is at one of the special points inside this oval shape.Law 2: When a planet gets closer to the Sun, it moves faster. When it gets farther away, it moves slower.Law 3: When a planet takes longer to orbit the Sun, its average distance from the Sun increases.What is  Newton's three laws of motion

The Newton's three laws of motion is one that how momentum works.

Law 1: If an object is not moving, it will stay still, and if it is moving, it will keep moving in the same way unless something outside of it makes it stop or change direction.

Law 2: When you push or pull on an object, the object's momentum changes. The faster you push or pull, the more the momentum changes.

Law 3: When you push or pull something, it pushes or pulls back with the same amount of force.

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If you feel pain during weight training, what should you do?

Answers

Answer:

Explanation:

Stop. Take a 5-10 minute breather, stretch out like you're doing your pre-workout (warmups). Drink some water, lay down for 3 minutes.

Answer: I hope this helps you

Explanation:

If you experience pain during weight training, it’s important to stop the exercise immediately and assess the source of the pain. If the pain is localized and mild, you can try taking a short break and then continuing with a lighter weight or modified exercise. However, if the pain is severe or spreading, you should stop the workout altogether and seek medical attention as soon as possible. Remember to always listen to your body and use proper form and technique to prevent injury.


A simple harmonic oscillator (SHO) has a spring constant of 280 N/m, Total energy of 150 J, and a mass of 4.00 kg. What is its
maximum velocity?
Numerical answer is in units of m/s

Answers

The maximum velocity is 8.66 m/s²

As we know, simple harmonic motion refers to a to-and-fro motion in a periodic manner and spring constant refers to the force required to stretch or compress a spring.

The spring constant for a simple harmonic oscillator is given as 280 N/m, the total energy is 150 J and the mass is 4 kgs. We have to find the maximum velocity of the given simple harmonic motion.

We know that Energy = force x perpendicular distance

In an SHM, energy is in the form of Kinetic Energy. Hence, we use the formula for kinetic energy.

To find the maximum velocity, we will apply the formula for kinetic energy.

Since Kinetic Energy = 1/2 mass x velocity²

Therefore, 150 = 1/2 mass x velocity² ; velocity = 8.66 m/s²

Hence, the maximum velocity for the given system of SHM is 8.66 m/s²

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The boiling point of ethyl alcohol is 351 K at atmospheric pressure. Answer parts a-b.

Answers

351 K on celcius scale is 77.85 °C and on the Fahrenheit scale is 172.13 °F.

It is given that the boiling point of ethyl alcohol is 351 K at atmospheric pressures.

a) Temperature on the kelvin scale = Temperature on the Celsius scale + 273

Therefore,

Temperature on Celsius scale = 351 K - 273.15 = 77.85 °C

b) (Temperature on the kelvin scale − 273.15) × 9/5 + 32 = Temperature on the Fahrenheit scale

Therefore,

The temperature on the Fahrenheit scale = (351 K − 273.15) × 9/5 + 32

= 77.85 x 9/5 +32

= 140.13 + 32

= 172.13 °F

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Question 1

At one section of a long pipe the velocity of the fluid is 1.6 m/s. At another section of the pipe the diameter is three times greater.
What is the velocity of the fluid at this section?
O 0.533 m/s
○ 4.80 m/s
O Not enough information to tell
O 0.178 m/s

Question 2

Three thermometers are placed in a closed, insulated box and are allowed to reach thermal equilibrium. One is calibrated in
Fahrenheit degrees, one in Celsius degrees, and one in Kelvins. If the Celsius thermometer reads -40 °C the Fahrenheit
thermometer would read -40°F.

True
False

Answers

Answer:

Answer 1: The answer is O 0.178 m/s.

Answer 2: True:  But in this specific case where the Celsius temperature is -40, the Fahrenheit temperature will also be -40.

So, in short, the answer is:

-40 Celsius is equal to -40 Fahrenheit

effort distance of a lever should be increased to lift the havier load give reason​

Answers

The effort distance of a lever should be increased to lift a heavier load because it provides a mechanical advantage, allowing for easier lifting of the load.

The effort distance of a lever should be increased to lift a heavier load because it allows for a mechanical advantage that compensates for the increased weight.

In a lever system, the effort distance is the distance between the point of application of the input force (effort) and the fulcrum, while the load distance is the distance between the point of application of the output force (load) and the fulcrum. The mechanical advantage of a lever is determined by the ratio of the load distance to the effort distance.

By increasing the effort distance, the mechanical advantage of the lever system is increased. This means that for the same input force (effort), a greater output force (load) can be achieved. When dealing with a heavier load, a higher mechanical advantage is required to overcome the increased resistance.

By increasing the effort distance, the lever system can effectively multiply the applied force, making it easier to lift the heavier load. This allows for the redistribution of force and facilitates the efficient use of human effort in various applications, such as in construction, engineering, and even everyday tools like scissors and pliers.

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a thin, very light wire is wrapped around a drum that is free to rotate, the free end of the wire is attached to a ball of mass m, the drum is initially a solid disk with a mass M and radius R. you let the mass go at height h above the ground. if you switch out the solid disk and use a hollow disk instead with the same mass and radius, how will the final speed when the mass hits the ground when using a hollow disk compare to the final speed when using a solid disk?

a-greater than the original
b-less than the original
c-cant be determined
d-same as the original

Answers

Answer:

a-greater than the original (solid disk)

Explanation:

The hollow drum's lower rotational inertia allows it to rotate faster as the wire unwinds. This absorbs more potential energy, leaving less to translate into the speed of the falling mass. Therefore, the final speed when using a hollow disk will be:

a-greater than the original (solid disk)

Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph.Can you draw the shapes for each type ?

Answers

Explanation:

Yes, there are differences in the shapes of position-time graphs for uniform acceleration and uniform deceleration in different directions. Let's consider each case separately:[tex]\hrulefill[/tex]

(1) - Uniform acceleration towards the positive direction:

In this case, the object is moving in the positive direction with a constant acceleration. The displacement-time graph will typically be a curve that starts from an initial position and shows a steady increase in displacement over time. The shape of the graph will depend on the specific acceleration value.

(2) - Uniform acceleration towards the negative direction:

In this case, the object is moving in the negative direction with a constant acceleration. The displacement-time graph will also be a curve, but it will show a steady decrease in displacement over time.

(3) - Uniform deceleration towards the positive direction:

In this case, the object is initially moving in the positive direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a positive slope and gradually levels off.

(4) - Uniform deceleration towards the negative direction:

In this case, the object is initially moving in the negative direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a negative slope and gradually levels off.

workers of 50kg on the left and 40kg on the right on a 40kg plate held by two taut cables.
-The system does not rotate or move. With this in mind make a force diagram: it must have 5 forces labeled
-Write the net force equation
-Write the net torque equation,
Which cable exerts more tension, left or right? Explain why (2pts)
Find the tension of both wires. (3pts)

Answers

(a) The force diagram is the image attached.

(b) The net force of the workers is F(net) = (T₁ + T₂) - (W₁ + W₂ + W₃).

(c) The net torque equation of the system is W₁(x/2) - W₂(x/2) = 0

(d) The cable that exerts the most tension is the tension on the left.

(e) The tension in wire 1 is 490 N and the tension in wire 2 is 392 N.

What is the net force of the workers?

The net force of the workers is calculated by applying the following equations;

F(net) = (T₁ + T₂) - (W₁ + W₂ + W₃)

The net torque equation of the system is determined as follows;

τ (net) = W₁(x/2) - W₂(x/2) = 0

W₁(x/2) - W₂(x/2) = 0

where;

x is the distance between the two workers

The cable that exerts the most tension is the tension on the left directly above the 50 kg worker because this work has the greatest downward force.

The tension in wire 1 is calculated as;

T₁ = 50 kg x 9.8 m/s²

T₁ = 490 N

The tension in wire 2 is calculated as;

T₂ = 40 kg x 9.8 m/s²

T₂ = 392 N

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A liquid ( = 1.65 g/cm^3) flows through a horizontal pipe of varying cross section as in the figure below. In the first section, the cross-sectional area is 10.0 cm^2, the flow speed is 293 cm/s, and the pressure is 1.20 * 10^5 Pa. In the second section, the cross-sectional area is 3.00 cm^2. Answer parts a-b.

Answers

Answer:

a) What is the flow speed in the second section? Assume the pressure remains constant.

Given:

Section 1 area = 10.0 cm^2  

Section 1 flow speed = 293 cm/s

Section 2 area = 3.00 cm^2

Pressure = 1.20 x 105 Pa (constant)

Since pressure remains constant, by Bernoulli's equation:    

P1/ρ + 1/2*v12 = P2/ρ+ 1/2*v22

Since P1 = P2 and ρ (density) is constant:

v22 = 2*(v12 - v22)    

v22 = 2*(293^2 - v22)

Solving for v2:    

v2 = √(2*293^2) = 846 cm/s

b) What is the kinetic energy loss per second between the two sections?

Kinetic energy = 1/2 * mass * velocity^2

Mass flow rate = density * area * velocity

= 1.65 g/cm^3 * 10.0 cm^2 * 293 cm/s = 485.5 g/s

Kinetic energy loss = 1/2 * (485.5 g/s) * (293^2 - 846^2) cm^2/s^2        

            = 1/2 * (485.5)*(86124 - 716256)

            = 20617 J/s

So the kinetic energy loss per second between the two pipe sections is 20617 J/s.

Explanation:

The gravitational force exerted on a solid object is 5.05 N as measured when the object is suspended from a spring scale as in Figure a. When the suspended object is submerged in water, the scale reads 3.88 N (Figure b). Find the density of the object. Answer is in kg/m^3.

Answers

Answer:

Here are the steps to solve this problem:

Determine the weight of the object in air:

F = ma

Weight (W) = Force (F) x gravitational field strength (g)

W = 5.05 N x 9.8 m/s^2 = 49.5 N

Determine the weight of the object submerged in water:

W' = 3.88 N x 9.8 m/s^2 = 38.0 N

The difference in weight is due to buoyant force:

Fb = Wa - W

Fb = 38.0 N - 49.5 N = 11.5 N

The buoyant force is equal to the weight of the water displaced:

Fb = ρwVg (where ρw is the density of water and V is the volume)

11.5 N = (ρwV)(9.8 m/s^2)

Solve for the volume and density of the object:

V = Fb/( ρwg) = 11.5 N/(1000 kg/m^3)(9.8m/s^2)

= 1.17 x 10^-3 m3

Density of object = mass/volume

ρ = W/V = 49.5 N/(1.17 x 10^-3 m3)

= 4.22 x 104 kg/m3

= 4220 kg/m3

So the density of the object is 4220 kg/m3.

In summary, by using Newton's second law, Archimedes' principle and definitions of weight, buoyant force and density, we were able to determine the density of the object based on measurements in air and water.

Explanation:

The temperature of a aluminum bar rises by 10.0°C when it absorbs 4.73 kJ of energy by heat. The mass of the bar is 525 g. Determine the specific heat of aluminum from these data. Answer is in kJ/kg · °C.

Answers

Answer:

Certainly! We can use the formula:

q = mcΔT

where q is the amount of heat absorbed, m is the mass of the aluminum bar, c is the specific heat capacity of aluminum, and ΔT is the change in temperature.

Substituting the given values, we get:

4.73 kJ = (0.525 kg) x c x (10.0°C)

Solving for c, we get:

c = 0.901 kJ/kg · °C

Therefore, the specific heat of aluminum is 0.901 kJ/kg · °C.

Explanation:

. A 0.140 kg baseball is pitched toward home plate at 30.0 m/s.
The batter hits the ball back (opposite direction) to the pitcher at
44.0 m/s. Assume that towards home plate is positive. What is
the change in momentum for the ball?

Answers

The change in momentum for the baseball, which is hit back in the opposite direction by the batter, is -10.36 kg·m/s. This change in momentum is obtained by subtracting the initial momentum of 4.2 kg·m/s from the final momentum of -6.16 kg·m/s. The negative sign indicates the opposite direction of the momentum.

To find the change in momentum for the baseball, we can use the formula:

Change in momentum = Final momentum - Initial momentum

Momentum is defined as the product of mass and velocity.

Given data:

Mass of the baseball (m) = 0.140 kg

Initial velocity of the baseball ([tex]v_i_n_i_t_i_a_l)[/tex] = 30.0 m/s

Final velocity of the baseball ([tex]v_f_i_n_a_l_[/tex]) = -44.0 m/s (negative sign indicates opposite direction)

To calculate the initial momentum, we multiply the mass by the initial velocity:

Initial momentum = m * [tex]v_i_n_i_t_i_a_l[/tex] = 0.140 kg * 30.0 m/s = 4.2 kg·m/s

To calculate the final momentum, we multiply the mass by the final velocity:

Final momentum = m * [tex]v_f_i_n_a_l_[/tex] = 0.140 kg * (-44.0 m/s) = -6.16 kg·m/s

Now we can find the change in momentum:

Change in momentum = Final momentum - Initial momentum

Change in momentum = (-6.16 kg·m/s) - (4.2 kg·m/s)

Change in momentum = -10.36 kg·m/s

Therefore, the change in momentum for the baseball is -10.36 kg·m/s. The negative sign indicates a change in direction, as the ball is hit back in the opposite direction.

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Determine the power output from a steam turbine if it receives steam at 40 bar, 350°C, and the steam leaving the turbine is at 15 bar, 200°C. The steam mass flow rate is 0.5 kg/s.

Answers

To determine the power output from a steam turbine, we can use the following equation:

Power = Mass flow rate × Specific enthalpy change

First, we need to calculate the specific enthalpy change of the steam. The specific enthalpy is the amount of energy per unit mass of the substance.

Step 1: Find the specific enthalpy at the turbine inlet (h1) and outlet (h2).
We can use steam tables or steam property calculators to obtain these values.

For steam at 40 bar and 350°C (turbine inlet):
From the steam tables, the specific enthalpy at these conditions is approximately h1 = 3217 kJ/kg.

For steam at 15 bar and 200°C (turbine outlet):
From the steam tables, the specific enthalpy at these conditions is approximately h2 = 2786 kJ/kg.

Step 2: Calculate the specific enthalpy change (∆h).
∆h = h2 - h1
∆h = 2786 kJ/kg - 3217 kJ/kg
∆h = -431 kJ/kg (Note: The negative sign indicates a decrease in enthalpy)

Step 3: Calculate the power output.
Power = Mass flow rate × ∆h
Power = 0.5 kg/s × (-431 kJ/kg)
Power = -215.5 kW (Note: The negative sign indicates power extraction from the steam)

Therefore, the power output from the steam turbine is approximately 215.5 kW.

A steam turbine receives steam with a velocity of 28 m/s, specific enthalpy 3000 kJ/kg at a rate of 3500 kg per hour. The steam leaves the turbine with a specific enthalpy of 2200 kJ/kg at 180 m/s. Calculate the turbine output, neglecting losses.

Answers

A steam turbine receives steam with a velocity of 28 m/s, specific enthalpy 3000kJ/kg at a rate of 3500 kg per hour. The steam leaves the turbine with a specific enthalpy of 2200kJ/kg at 180 m/s then turbine output is 777.76kW.

To get the turbine output, we must first compute the change in specific enthalpy (h) and mass flow rate ().

Assume that the inlet steam velocity (v1) is 28 m/s.

Specific enthalpy at the inlet (h1) = 3000 kJ/kg

()=3500kg/h mass flow rate

2200 kJ/kg outlet specific enthalpy (h2)

v2 (outlet steam velocity) = 180 m/s

To begin, convert the mass flow rate from kg/h to kg/s as follows: =

[tex]3500 kg/h (1 h/3600 s) = 0.9722 kg/s[/tex]

The change in specific enthalpy (h) can then be calculated:

3000kJ/kg-2200kJ/kg=800kJ/kgh=h1-h2

The following formula can be used to compute the turbine output (P):

[tex]P = ṁ * Δh[/tex]

Substituting  P=0.9722kg/s*800kJ/kg=777.76kJ/sork W

As a result, ignoring losses, the turbine output is roughly 777.76kW

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Calculating Displacement under Constant Acceleration
Use the information from the graph to answer the
question.
Velocity (m/s)
40
30
20
10
0
Velocity vs. Time
0 5
10
15
Time (s)
20
25
What is the total displacement of the object?
I
m

Answers

Answer:

1 km

Explanation:

displacement =velocity ×time

displacement =40m/s ×25s

displacement =1000m equivalent to 1km

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