A baby carriage is sitting at the top of a hill that is 21 m high. The carriage with the baby weighs 20
kg. The carriage has
energy. Calculate it

Answers

Answer 1

Answer:

Energy in carriage (Potential energy) = 4,116 J

Explanation:

Given:

Mass of baby = 20 kg

Height = 21 m

Find:

Energy in carriage (Potential energy)

Computation:

The energy accumulated in an object as a result of its location relative to a neutral level is known as potential energy.

In carriage accumulated energy is potential energy.

Energy in carriage (Potential energy) = mgh

Energy in carriage (Potential energy) = (20)(9.8)(21)

Energy in carriage (Potential energy) = 4,116 J


Related Questions

how much energy is possessed by 1 mole of nitrogen atoms moving at 35.0 m/s ?​

Answers

1 mole of nitrogen atoms moving at 35.0 m/s possesses approximately 27.8 joules of energy.

To calculate the energy possessed by 1 mole of nitrogen atoms moving at 35.0 m/s, we need to consider both the kinetic energy and the molecular mass of nitrogen.

The kinetic energy (KE) of an object is given by the equation KE = 1/2 * m * v^2, where m is the mass and v is the velocity.

The molar mass of nitrogen (N₂) is approximately 28.0134 g/mol, which can be converted to kilograms by dividing by Avogadro's number (6.022 × 10^23). This gives us a mass of approximately 4.65 × 10^(-26) kg for one nitrogen atom.

Plugging in the values, we have KE = 1/2 * (4.65 × 10^(-26) kg) * (35.0 m/s)^2.

Evaluating the equation, we find that the kinetic energy possessed by one nitrogen atom is approximately 4.62 × 10^(-23) joules.

Since we are considering 1 mole of nitrogen atoms, we need to multiply this value by Avogadro's number to get the energy possessed by 1 mole. Avogadro's number is 6.022 × 10^23, so the total energy is approximately 2.78 × 10^1 joules, or 27.8 J.

For such more questions on energy

https://brainly.com/question/1634438

#SPJ8

Please respond to this for 15 points. Please don’t put in a link.

Answers

Answer:

e. Combustion

Explanation:

In Combustion reaction, a substance reacts with oxygen from the air and resultant product is that it releases carbon dioxide and water.

Here,

2C2H6 is the substance that reacted with 7O2 (Oxygen) to release 4CO2 (Carbon Dioxide) and 6H2O (Water).

Answer: E. Combustion

what is an example of vaporization?

Answers

Answer:

just search it up you'll get ur answer

Boiling water is what I would put

1. What is the heat energy when 114.32g of water ( c = 4.18 J/g °C) at 14.85°C is raised to
18.00°C?

Answers

dnt listen to the file stuff

Grade 10 My smart Physics people help me with this review question please

Answers

Answer:

sorry I am not confident you the answer

A 3.5 kg object gains 76 J of potential energy as it is lifted vertically. Find the new height of the object?

Answers

Answer:

1.72 m

Explanation:

Potential energy = mgh, where m is mass, g is acceleration due to gravity (9.8), and h is height

76 = (3.5)(9.8)h

76=44.1h

h=1.72335600907 ≈1.72 m

Answer:

:r

Explanation:r

Tobnbv346468this Ishmael

Great Sand Dunes National Park in Colorado is famous for its giant sand dunes. Sand dunes are landforms that are found in deserts and on beaches. Visitors to the park can surf down the dunes on sleds or boards.

An image of sand dunes in front of a mountain and behind a body of water and grass.

Which process causes the shape of these giant dunes?

A. deposition
B. erosion
C. weathering
D. waves

Answers

Answer:

Wind deposits sand into a small mound. So the answer is Deposition

2.- a person weighing 70 kg travels at 2m / s. What is the value of his kinetic energy?

Answers

Answer:18 watts

Explanation:i just got this question trust me

\

Assume a device is designed to obtain a large potential difference by first charging a bank of capacitors connected in parallel and then activating a switch arrangement that in effect disconnects the capacitors from the charging source and from each other and reconnects them all in a series arrangement. The group of charged capacitors is then discharged in series. What is the maximum potential difference that can be obtained in this manner by using ten 500

Answers

Answer:

8 kV

Explanation:

Here is the complete question

Assume a device is designed to obtain a large potential difference by first charging a bank of capacitors connected in parallel and then activating a switch arrangement that in effect disconnects the capacitors from the charging source and from each other and reconnects them all in a series arrangement. The group of charged capacitors is then discharged in series. What is the maximum potential difference that can be obtained in this manner by using ten 500 μF capacitors and an 800−V charging source?

Solution

Since the capacitors are initially connected in parallel, the same voltage of 800 V is applied to each capacitor. The charge on each capacitor Q = CV where C = capacitance = 500 μF and V = voltage = 800 V

So, Q = CV

= 500 × 10⁻⁶ F × 800 V

= 400000 × 10⁻⁶ C

= 0.4 C

Now, when the capacitors are connected in series and the voltage disconnected, the voltage across is capacitor is gotten from Q = CV

V = Q/C

= 0.4 C/500 × 10⁻⁶ F

= 0.0008 × 10⁶ V

= 800 V

The total voltage obtained across the ten capacitors is thus V' = 10V (the voltages are summed up since the capacitors are in series)

= 10 × 800 V

= 8000 V

= 8 kV

The moon does not stay at the same distance from the earth.why?​

Answers

Answer:

The moon does not stay at the same distance of the earth because the ortbit of the moon is slightly elliptical. If earth is not tilted at an angle of 66.5°, there will be no change in the season and the earth will have equal length of days and night.

Explanation:

mark me brainlest

here is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a cylindrical container mounted so that it can be rotated about its axis by turning a hand crank. The outer wall of the cylinder is perforated with small holes. You put the wet leaves in the container and turn the crank to spin off the water. The radius of the container is 10.7 cm. When the cylinder is rotating at 1.65 revolutions per second, what is the magnitude of the centripetal acceleration at the outer wall

Answers

Answer:

11.5 m/s²

Explanation:

The centripetal acceleration, a = rω² where r = radius of cylinder = 10.7 cm = 0.107 m and ω = angular speed = 2πN where N = number of revolutions per second = 1.65 rev/s

So, a = rω²

a = r(2πN)²

a = 4π²rN²

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

a = 4π²rN²

a = 4π²(0.107 m)(1.65 rev/s)²

a = 4π²(0.107 m)(2.7225 rev²/s)²

a = 4π² × 0.2913075 mrev²/s)²

a = 11.5 m/s²

a lens with f = 50.0 cm is held 55.0 cm from an object. what is the image distance? (unit = cm)

Answers

Answer: 550 cm

Explanation:

Original equation: 1/f= 1/do + 1/di.

F=50.0 cm, and do=55.0.

Since we don't have di, we'll have to subtract do to the other side, making the equation: 1/f - 1/do= 1/di.

Doing the math, 1/f - 1/do is 0.0018181818

Then to get di by itself, you multiply both sides by di. Then you divide by 0.0018181818 to get di by itself. You then get: di= 1/0.0018181818

At that point, you just divide 1 by 0.0018181818, which will give you 550 cm

There could be simpler way, but that is just what I did to get the answer. Answer was right on Acellus

a glass bottle full of mercury has mass of 500g on being heated through 35 degree celsuis,2.43g of mercury are expelled .calculate the mass of the mercury remaining in the bottle​

Answers

Answer:

The mass of the mercury remaining in the bottle is 497.57 grams.

Explanation:

The mass of the mercury remaining in the bottle is found by subtracting the mass expeled due to heating from initial mass inside the bottle. That is:

[tex]m_{f} = m_{o}-\Delta m[/tex] (1)

Where:

[tex]m_{o}[/tex] - Initial mass, in grams.

[tex]\Delta m[/tex] - Mass expelled due to heating, in grams.

[tex]m_{f}[/tex] - Final mass, in grams.

If we know that [tex]m_{o} = 500\,g[/tex] and [tex]\Delta m = 2.43\,g[/tex], then the mass of the mercury remaining in the bottle is:

[tex]m_{f} = m_{o}-\Delta m[/tex]

[tex]m_{f} = 497.57\,g[/tex]

The mass of the mercury remaining in the bottle is 497.57 grams.

find the rms speed of a sample of oxygen at 30° C and having a molar mass of 16 g/mol.​

Answers

At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.

The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:

vrms = √(3kT/m)

Where:

vrms is the rms speed

k is the Boltzmann constant (1.38 x 10^-23 J/K)

T is the temperature in Kelvin

m is the molar mass of the gas in kilograms

To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:

m = 16 g/mol = 0.016 kg/mol

Substituting the values into the formula, we have:

vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))

Calculating this expression yields the rms speed of the oxygen sample:

vrms ≈ 482.34 m/s

For such more questions on speed

https://brainly.com/question/31380575

#SPJ8

A ball weighs 5.7 N on Earth. What is its mass?

Answers

Answer:

55.897905

Explanation:

1 Newton in Earth gravity is the equivalent weight of 1/9.80665 kg on Earth

9.80665 times 5.7=55.897905

Brainliest?

Which change will always result in an increase in the gravitational force between two objects?
O increasing the masses of the objects and increasing the distance between the objects
O decreasing the masses of the objects and decreasing the distance between the objects
O increasing the masses of the objects and decreasing the distance between the objects
• decreasing the masses of the objects and increasing the distance between the objects

Answers

Answer:

increasing the masses of the objects and decreasing the distance between the objects

Explanation:

Which energy source can be found on the electromagnetic spectrum? A) sound energy B) chemical energy UV light energy D mechanical energy

Answers

B uv light energy
Explanation:I need 20 characters

Daryl ties a rope to a brick and lifts the brick straight up. The free-body
diagram below shows the brick when it is suspended above the ground.
Force 1
Force 2
What is force 1 in this diagram?
O A. Friction
OB. Tension
O C. Normal force
O D. Weight

Answers

The force 1 is tension force.

To find the correct statement among all the options, we need to know more about friction, tension, normal force and weight.

What is friction?Friction force is found between two surfaces when one is kept or moved on another surface.It is directed opposite to the direction of motion.What is tension force?When any object is hanged by an thread or rope, that object exerts a force on that rope. This force is called as tensional force.It's directed from along the rope towards the point of hanging.What is normal force?When an object is kept on a surface, the surface exerts a force on the object to oppose the weight of the object which is the normal force.It's perpendicular to the surface that an object contacts.What is weight?Weight is the gravitational force exerted by earth on that object. It's always directed towards the center of the earth.

Thus, we can conclude that the correct option is (B).

Learn more about tension here:

https://brainly.com/question/2008782

#SPJ2

A wooden cylinder (in the form of a thin disk) of uniform density and a steel hoop are set side by side, released from rest at the same moment, and roll down an inclined plane towards a wall at the bottom. The cylinder has a larger radius than the hoop, but the hoop weighs more than the cylinder.

Required:
Who reaches the bottom first and why?

Answers

Answer:

a. The wooden cylinder b. the wooden cylinder reaches the bottom first because its translational kinetic energy is greater.

Explanation:

a. Who reaches the bottom first

The kinetic energy of the objects is given by

K = 1/2mv² + 1/2Iω² where m = mass of object, v = velocity of object, I = moment of inertia and ω = angular velocity = v/r where r = radius of object

For the wooden cylinder, I = mr²/2 where m = mass of wooden cylinder and r = radius of wooden cylinder and v = velocity of wooden cylinder

So, its kinetic energy, K = 1/2mv² + 1/2(mr²/2)(v/r)²

K = 1/2mv² + 1/4mv²

K = 3mv²/4

For the steel hoop, I' = mr'² where m' = mass of steel hoop and r' = radius of steel hoop and v' = velocity of steel hoop

So, its kinetic energy, K' = 1/2m'v'² + 1/2(m'r'²)(v'/r')²

K' = 1/2m'v'² + 1/2m'v'²

K' = m'v'²

Since both kinetic energies are the same, since the drop from the same height,

K = K'

3mv²/4 = m'v'²

v²/v'² = 4m/3m'

v²/v'² = 4/3(m/m')

v/v' = √[4/3(m/m')]

Since the hoop weighs more than the cylinder m/m' < 1 and 4/3(m/m') < 4/3 ⇒ √ [4/3(m/m')] < √4/3 ⇒ v/v' < 1.16 ⇒ v'/v > 1/1.16 ⇒ v'/v > 0.866. Since 0.866 < 1, it implies v' < v.

Since v' = speed of steel hoop < v = speed of wooden cylinder, the wooden cylinder reaches the bottom first.

b. Why

Since the kinetic energy, K = translational + rotational

We find the translational kinetic energy of each object.

For the wooden cylinder,

K = K₀ + 1/2Iω² where K₀ = translational kinetic energy of wooden cylinder

K - 1/2Iω² = K₀

3/4mv² - 1/2(mr²/2)(v/r)² = K₀

3/4mv² - 1/4mv² = K₀

K₀ = 1/2mv²

For the steel hoop,

K' = K₁ + 1/2I'ω'² where K₁ = translational kinetic energy of steel hoop

K' - 1/2I'ω'² = K₁

m'v'² - 1/2(m'r'²)(v'/r')² = K₁

m'v'² - 1/2m'v'² = K₁

K₁ = 1/2m'v'²

So, K₀/K₁ =  1/2mv²÷1/2m'v'² = mv²/m'v'² = (m/m')(v²/v'²) = (m/m')4/3(m/m') = 4/3(m/m')².

Since (m/m') < 1 ⇒  (m/m')² < 1 ⇒ 4/3(m/m')² < 4/3 ⇒ K₀/K₁  < 1.33 ⇒ K₀ > K₁

So, the kinetic energy of the wooden cylinder is greater than that of the steel hoop.

So, the wooden cylinder reaches the bottom first because its translational kinetic energy is greater.

a. The wooden cylinder b. the wooden cylinder reaches the bottom first because its translational kinetic energy is greater.

What is Kinetic energy?

The energy of the body due to its movement in a particular direction under the influence of a force like a free-falling body due to gravitaional force is called  Kinetic energy.

The kinetic energy of the objects is given by

[tex]K = \dfrac{1}{2}mv^2 + \dfrac{1}{2}Iw^2[/tex]

where

m = mass of object,

v = velocity of object,

I = moment of inertia and

ω = angular velocity = v/r where r = radius of object

For the wooden cylinder, I = mr²/2 where m = mass of wooden cylinder and r = radius of wooden cylinder and v = velocity of wooden cylinder

So, its kinetic energy,

[tex]K = \dfrac{1}{2}mv^2 + \dfrac{1}{2}(\dfrac{mr^2}{2})\dfrac{v}{r}^2[/tex]

[tex]K = \dfrac{3mv^2}{4}[/tex]

For the steel hoop,

I' = mr'²

where

m' = mass of steel hoop and

r' = radius of steel hoop and

v' = velocity of steel hoop

So, its kinetic energy,

[tex]K' = \dfrac{1}{2}m'v'^2 + \dfrac{1}{2}(m'r'^2)\dfrac{v'}{r'}^2[/tex]

[tex]K' = \dfrac{1}{2}m'v'^2 + \dfrac{1}{2}m'v'^2[/tex]

K' = m'v'²

Since both kinetic energies are the same, since the drop from the same height,

K = K'

[tex]\dfrac{3mv^2}{4 }= m'v'^2[/tex]

[tex]\dfrac{v^2}{v'^2} =\dfrac{ 4m}{3m'}[/tex]

[tex]\dfrac{v^2}{v'^2} = \dfrac{4}{3}(\dfrac{m}{m'})[/tex]

[tex]\dfrac{v}{v'} = \sqrt{[\dfrac{4}{3}(\dfrac{m}{m'})][/tex]

Since the hoop weighs more than the cylinder m/m' < 1 and 4/3(m/m') < 4/3 ⇒ √ [4/3(m/m')] < √4/3 ⇒ v/v' < 1.16 ⇒ v'/v > 1/1.16 ⇒ v'/v > 0.866. Since 0.866 < 1, it implies v' < v.

Since v' = speed of steel hoop < v = speed of wooden cylinder, the wooden cylinder reaches the bottom first.

(b) Since the kinetic energy, K = translational + rotational

We find the translational kinetic energy of each object.

For the wooden cylinder,

[tex]K = K_o + \dfrac{1}{2}Iw^2[/tex]

where

K₀ = translational kinetic energy of wooden cylinder

[tex]K - \dfrac{1}{2}Iw^2 = K_o[/tex]

[tex]\dfrac{3}{4}mv^2 - \dfrac{1}{2}(\dfrac{mr^2}{2})(\dfrac{v}{r})^2 = K_a[/tex]

[tex]\dfrac{3}{4}mv^2 - \dfrac{1}{4}mv^2 = K_o[/tex]

[tex]K_o = \dfrac{1}{2}mv^2[/tex]

For the steel hoop,

[tex]K' = K_1 + \dfrac{1}{2}I'w'^2[/tex]

where

K₁ = translational kinetic energy of steel hoop

[tex]K' - \dfrac{1}{2}I'w'^2 = K_1[/tex]

[tex]m'v'^2 - \dfrac{1}{2}(m'r'^2)(\dfrac{v'}{r'})^2 = K_1[/tex]

[tex]m'v'^2 - \dfrac{1}{2}m'v'^2 = K_1[/tex]

[tex]K_1= \dfrac{1}{2}m'v'^2[/tex]

So, K₀/K₁ =  1/2mv²÷1/2m'v'² = mv²/m'v'² = (m/m')(v²/v'²) = (m/m')4/3(m/m') = 4/3(m/m')².

Since (m/m') < 1 ⇒  (m/m')² < 1 ⇒ 4/3(m/m')² < 4/3 ⇒ K₀/K₁  < 1.33 ⇒ K₀ > K₁

So, the kinetic energy of the wooden cylinder is greater than that of the steel hoop.

So, the wooden cylinder reaches the bottom first because its translational kinetic energy is greater.

To know more about Kinetic energy follow

https://brainly.com/question/25959744

A dog runs 51 m west to fetch a ball and brings it back only 27 m before stopping.
The total displacement of the dog is:

Answers

The answer is 88m cause that’s the total distance the dog had ran in total and if that’s not the answer it’s 24m cause that’s how much further he had to go to retrieve it all the way back to the same position

Someone help me like please thank you

Answers

The car should have less kinetic energy.
They are both going the same speed, but the truck is bigger and heavier. The more mass an object has, the more kinetic energy it has. There is more mass being moved, so it makes more kinetic energy. The car does not have as much mass, so it makes less kinetic energy compared to the truck.

Good luck with the rest of your test or quiz :)

The Solar System formed...

from the collision between two galaxies.


from the merging of two smaller stars.


directly from the leftover gas of the big bang.


from the gravitational collapse of an interstellar cloud of gas.

Answers

Answer:The answer is because of the gravity and the mass formed in the sun, the magnetic field reacts to it and leaves a fault on earth. wind goes by the earth and procides to be ok

Explanation:that is it

Light rays enter a transparent material. Which description best describes what happens to the light rays

Answers

When light encounters transparent materials, almost all of it passes directly through them. Glass, for example, is transparent to all visible light. ... Most of the light is either reflected by the object or absorbed and converted to thermal energy. Materials such as wood, stone, and metals are opaque to visible light.

A dog runs 51 m west to fetch a ball and brings it back only 27 m before stopping.
The total displacement of the dog is:

Answers

24
Because
51-27 =24

If a reflected ray is 55 degrees from the normal line, they what is the angle of the
incident ray from normal?

Answers

Answer:

xplanation:

Angle of reflection is measured between the incident ray and the angle which it makes with the normal at the point where incident ray strikes the mirror surface.

Further on reflection, it makes the same angle i.e. angle of reflection is equal to angle of reflection.

Hence, as angle of incidence is 55∘ angle of reflection too is 55∘ and the angle between the incident ray and the reflected ray is 55∘+55∘=110∘

b. Calculate the kinetic energy of the car for group A.

Answers

Answer: Kinectic Energy (KE) is equal to half of an object's mass (1/2*m) multiplied by the velocity.

Explanation: If an object with a mass of 10 kg (m=10 kg) is moving at a velocity of 5 meters per second (v=5 m/s), the kinetic energy is equal to 125 Joules, or (1/2* 10 kg) * 5 m/s^2.

At which point is there the most potential energy? At which point is there the most kinetic energy?

A. Potential energy A; Kinetic energy B
B. Potential energy B; Kinetic energy D
C. Potential energy A; Kinetic energy D
D. Potential energy C; Kinetic energy D

Answers

Answer:

The cart mark (a) has the most potential energy and the cart marked (b) has the most kinetic energy

What forces are used to jump over a wall?

Answers

Answer:

Potential and kinetic

Explanation:

A wire is oriented along the x-axis. It is connected to two batteries, and a conventional current of 2.6 A runs through the wire, in the x direction. Along 0.17 m of the length of the wire there is a magnetic field of 0.52 tesla in the y direction, due to a large magnet nearby. At other locations in the circuit, the magnetic field due to external sources is negligible. What is the magnitude of the magnetic force on the wire

Answers

Answer:

the magnitude of the magnetic force on the wire is 0.2298 N

Explanation:

Given the data in the question;

we know that, the magnitude of magnetic force is given as;

|F[tex]_{mg}^>[/tex] | = I([tex]B^>[/tex] × [tex]L^>[/tex] )

given that

I = 2.6 A

[tex]B^>[/tex] = 0.17

[tex]L^>[/tex] = 0.52

so we substitute

|F[tex]_{mg}^>[/tex] | = 2.6( 0.17i" × 0.52j" )

|F[tex]_{mg}^>[/tex] | = 0.2298 N

Therefore, the magnitude of the magnetic force on the wire is 0.2298 N

A mass of 3 kg stretches a spring 9m. The mass is acted on by an external force of 2 AND. The Mass moves in a medium that imparts a viscous force of 1 N when the speed of the mass is 4m/sec The mass is pulled down 8 cm below its equilibrium position, and then set in motion inthe upward direction with a velocity of 5 m/sec. State the initial value problem describing the motion of the mass. DO NOT SOLVE.

Answers

Answer:

  k y -b [tex]\frac{dy}{dt}[/tex]dy / dt = m [tex]\frac{d^2y}{dt^2}[/tex]

give us some initial conditions

1) friction force fr = 1N when v = 4m / s

2) an initial displacement of x = 0.08 m for t=0 s

Explanation:

In this exercise, you are asked to state the problem you are posing. We are going to find the equation of motion for this exercise. Let's start with Newton's second law

Let's set a reference system with the y-axis in a vertical and positive direction upwards.

We have four forces: an external downward force, negative in sign, the but that goes down and is negative, the Hook force that goes up and is positive and the friction force that opposes the movement, in this case it goes down being negative

let's write Newton's second law

          F_e -F -fr - W = m a

where

          F_e = -kDy = - k y

          fr = - b v = -b dy / dt

          W = mg

we substitute for the specific case, that is, using the signs

          k y  -b [tex]\frac{dy}{dt}[/tex] - m g - F = m [tex]\frac{d^2y}{dt^2}[/tex]

In the initial condition of the problem, before starting the movement, the friction force is zero and the acceleration is also zero

         k y - m g - F = 0

from this equation you can find the spring constant, y= 9m and F=2 N

It is not clear if when the movement starts this external force becomes zero, but since it balances the weight we can eliminate the two forces that have the same magnitude and opposite direction, so the equation remains

              k y - b [tex]\frac{dy}{dt}[/tex]dy / dt = m [tex]\frac{d^2y}{dt^2}[/tex]

give us some initial conditions

1) friction force fr = 1N when v = 4m / s

2) an initial displacement of x = 0.08 m for t=0 s

therefore, to initiate the movement, a small external force F 'is applied that moves the system to a new equilibrium position and this small force F' is made zero, thus initiating an oscillatory movement, described by the equation.

             k y -b [tex]\frac{dy}{dt}[/tex]dy / dt = m [tex]\frac{d^2y}{dt^2}[/tex]

This is a differential equation of the second degree, therefore it needs two initial conditions for its complete solution

The initial amount of displacement corresponds to the amplitude of movement A = 0.08 m

Other Questions
In a two-period model, suppose that a particular consumer's utility function is: U(C, C) = log(c) + log(c) where C, C are the consumption of a good (orange) in the two periods. The real interest rate is 20% (given). Pi is normalized to 1. The endowments in the two periods are 1 and 2.4 oranges respectively. ** Part a (5 marks) State the period budget constraints for the two periods. ** Part b (5 marks) Derive the lifetime budget constraint (in real terms). ** Part c (5 marks) Solve for the optimal consumption path (C, C). ** Part d (5 marks) Now suppose that there is an inflation of 10%. Using the Fisher equation, find the nominal interest rate. The inflation rate in the UK is at the highest since 2008 and it is expected to rise further in the summer. In this context, discuss the issues associated with high inflation. Explain how monetary policy tools used by the Bank of England help to control inflation. a corporate bond that is currently trading at 95 pays a semi-annual coupon of $25. what is the current yield? Choose a well-known, publicly-traded company that none of your other classmates have chosen, and explain what costs would be included in each of the three manufacturing cost categories. Include a link to this financial statement in your post. Participate in follow-up discussion by choosing two or more of your classmates' posts and adding your ideas about what costs might be included in the direct materials, direct labor, and manufacturing overhead cost categories for the company selected. Explain the cost behavior of each of the identified costs as fixed, variable, or mixed costs. majorities tend to rely on __________, whereas minorities tend to rely on __________. The approximation of S xin (x + 5) dx using two points Gaussian quadrature formula is: 1.06589 2.8191 4.08176 3.0323 above what fe2 concentration will fe(oh)2 precipitate from a buffer solution that has a ph of 9.25 ? the sp of fe(oh)2 is 4.871017. suppose quadrilaterals a and b are both squares. determine whether the statement below is true or false. select the correct choice.a and b are scale copies of one another. Att Ner plant property, and equiment Total assets 38,000,000 101.000.000 000000 AZ Labtes and courty Accounts payable Accruals Current liabilities Long term det (40.000 bonds. 51.000 par value) Totalities Common stock (10,000,000 shares) Retained earning Total shareholders equity Total abilities and shareholders equity $10.000000 9.000.000 $ 19,000,000 10.000.000 3459.000.000 30.000.000 50.000.000 80.000.000 $139.000.000 The stock is currently selling for 515 25 pershare, and its moncallable $1,000 para o year, 7.25 bonds with manual payment for 5575.00. The betales. the yield one 6 month Treasury billion, and the field of Treasury bond in SS The required return on the stock market is ok, but the market badan 1450 during the past years. The firm's tax rate 125 Refer to the data for the Collins Group. What is the best estimate of the art cost of debt? 5. C60 O O. 10-10 a sample containing a radioactive isotope produces 2000 counts per minute in a geiger counter. after 120 hours, the sample produces 250 counts per minute. what is the half-life of the isotope? Rx: 20 mmol of potassium chloride in 1000 mL of 0.9% sodium chloride injection over 12 hours. You have a stock vial of 4 mEg/mL of potassium chloride sterile solution.How many milliliters of potassium chloride stock solution would you require to provide 20 mmol of potassium?A. 5B. 10C. 4D. 20 Calculate your % yield of CO2 in the reaction based on the grams of NaHCO3 being the limiting reagent in the reaction. .7656g NaHCO3 for Theoretical yield Rank the following substances in order of decreasing standard molar entropy (S).Rank the gases from largest to smallest standard molar entropy. To rank items as equivalent, overlap them.Cl2(g) I2(g) F2(g) Br2(g) Bellingham Suit Co. has received a shipment of suits that cost $200 each. If the company uses cost-plus pricing and applies a markup percentage of 60%, what is the sales price per suit?$333$320$500$280 posttest control group design shown above, selection bias is eliminated by ________.38)A)statistical controlB)randomizationC)matchingD)design control PLEASE HELP ASAPWhat are some items that a Fashion Designer would sew vs and Interior Designer? A proton is placed in an electric field of intensity 700 N/C. What is the magnitude and direction of the acceleration of this proton due to this field?A) 67.11010 m/s2 in the direction of the electric fieldB) 6.711010 m/s2 in the direction of the electric fieldC) 6.711010 m/s2 opposite to the electric fieldD) 6.71109 m/s2 opposite to the electric fieldE) 67.11010 m/s2 opposite to the electric field This short exercise demonstrates the similarity and the difference between two ways to acquire plant assets. (Click the icon to view the cases.) Compare the balances in all the accounts after making both sets of entries. Are the account balances the same or different? Journalize the transactions for cases A and B. (Record debits first, then credits. Exclude explanations from any joumal entries.) Let's begin with case A - Record the issuance of the common stock. Journal Entry Accounts Case A - Record the purchase of the building and equipment. Journal Entry Accounts Case B - Record the issuance of the common stock acquire assets The account balances are Journal Entry Accounts Debit Debit Debit Credit Credit Credit Compare the balances in all accounts after making both sets of entries. Are the account balances similar or different? More info Case A - Issue stock and buy the assets in separate transactions: Atar Company issued 20,000 shares of its $30 par common stock for cash of $756,000. In a separate transaction, Atar used the cash to purchase a building for $548,000 and equipment for $208,000. Journalize the two transactions. Case B - Issue stock to acquire the assets in a single transaction: Atar Company issued 20,000 shares of its $30 par common stock to acquire a building with a market value of $548,000 and equipment with a market value of $208,000. Journalize this transaction. Print Done - X Are nursing salaries in Tampa, Florida, lower than those in Dallas, Texas? Salary datashow staff nurses in Tampa earn less than staff nurses in Dallas (The Tampa Tribune,January 15, 2007). Suppose that a follow-up study 40 staff nurses in Tampa and 50staff nurses in Dallas you obtain the following results.Tampa Dallasn1 = 40 n2 = 50x1 = $56,100 x2 = $59,400s1 = $6,000 s2 = $7,000a. Fomulate hypothesis so that, if the null hypothesis is rejected, we would concludethat salaries for staff nurses in Tampa are significantly lower than for those in Dallas.Use a = .05.b. Provide a 90% confidence interval for the difference between the salaries ofnurses in Tampa and Dallas.c. What is the value of the test statistic?d. What is the p-value?e. What is your conclusion? a client in the 33 percent marginal tax bracket is comparing a municipal bond that offers a 5.00 percent yield to maturity and a similar-risk corporate bond that offers a 6.70 percent yield. determine the equivalent taxable yield. note: round your answer to 2 decimal places. which bond will give the client more profit after taxes?