Two objects with masses of m1 = 3.70 kg and m2 = 5.70 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. Answer parts a-c.

Two Objects With Masses Of M1 = 3.70 Kg And M2 = 5.70 Kg Are Connected By A Light String That Passes

Answers

Answer 1

(a) The tension in the string is determined as 19.6 N.

(b) The acceleration of each object is 5.3 m/s².

(c) The distance each object will move in the first second if it started from rest is 2.65 m.

What is the tension in the string?

(a) The tension in the string is the resultant weight of the masses and magnitude is calculated as follows;

T = ( 5.7 kg - 3.7 kg ) x 9.8 m/s²

T = 19.6 N

(b) The acceleration of each object is calculated as follows;

a = T / m

where;

m is the mass T is the tension

a = 19.6 N / 3.7 kg

a = 5.3 m/s²

(c) The distance each object will move in the first second if it started from rest is calculated as;

s = ut + ¹/₂at²

where;

u is the initial velocity = 0

s = 0 + ¹/₂(5.3)(1²)

s = 2.65 m

Learn more about acceleration here: https://brainly.com/question/14344386

#SPJ1


Related Questions

The obliquity of the rotation of Uranus is over 90 degrees. Compared to the plane of the solar system, it rotates on its "side", unlike any other planet. It is surmised that this angle of rotation was caused by:

Answers

The impact of a large body early in the history of the solar system.

7. Name the type of mirror used:-
(i) as a reflector in search light (iii) by the dentist
(ii) as side view mirror in vehicles. (iv) as a shaving mirror

Answers

Answer:

1. Concave mirror

2. Convex mirror

3. Concave mirror

4. Concave mirror

Explanation:

Concave mirror is placed near on an object it displays a virtual image

Question 1 of 10
What is the slope of the line plotted below?
B. 2
5
10
C. 1
O A. 0.5
о
9
OD. -0.5
5

Answers

The answer is B. 2


Explanation

Particles q₁ = -66.3 μC, q2 = +108 μC, and
q3 = -43.2 μC are in a line. Particles q₁ and q2 are
separated by 0.550 m and particles q2 and q3 are
separated by 0.550 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right

Answers

To calculate the net force on particle q₂, we need to consider the forces exerted by the other particles. The force between charged particles can be calculated using Coulomb's law:

F = (k * |q₁ * q₂|) / r²

Where:
F is the force between the particles,
k is the electrostatic constant (approximately 9 × 10^9 N m²/C²),
q₁ and q₂ are the magnitudes of the charges on the two particles, and
r is the separation between the particles.

Let's calculate the forces between q₁ and q₂ as well as q₂ and q₃ using the given values:

For q₁ and q₂:
F₁₂ = (9 × 10^9 N m²/C² * |-66.3 μC * 108 μC|) / (0.550 m)²

For q₂ and q₃:
F₂₃ = (9 × 10^9 N m²/C² * |108 μC * -43.2 μC|) / (0.550 m)²

To find the net force on q₂, we need to consider the direction of each force and add them up. Since q₁ and q₂ have opposite charges, the force F₁₂ will be negative (pointing left), and the force F₂₃ will be positive (pointing right).

Net force on q₂ = F₁₂ + F₂₃

Let's calculate the values:

Two blocks, M1 and M2, are connected by a massless string that passes over a massless pulley as shown in the figure. M2, which has a mass of 19.0 kg,
rests on a long ramp of angle theta=25.0∘.
Ignore friction, and let up the ramp define the positive direction.
If the actual mass of M1 is 5.00 kg and the system is allowed to move, what is the acceleration of the two blocks?
What distance does block M2 move in 2.00 s?

Answers

The acceleration of the two blocks is[tex]2.14 m/s^{2[/tex]} and the distance does block M2 move in 2.00 s is 4.27 m.

Now we need to find the acceleration of the two blocks and the distance does block M2 move in 2.00 s.

We know that: mass of M1, m1 = 5.00 kg mass of M2, m2 = 19.0 kgθ = 25.0°Taking upward direction as positive for block M1 and downwards as positive for block M2.

Therefore, we can write the following equation of motion for the two blocks:

For M2: m2g - T = m2a ...(1)

For M1: T - m1g = m1a ...(2)

We can see from the figure that M2 is on an inclined plane making an angle θ with the horizontal.

We can resolve the weight of M2 into two components:

Perpendicular to the plane = m2gcosθParallel to the plane = m2gsinθ

The component parallel to the plane will tend to make the block move downwards.

Therefore, the effective weight will be:

mg = m2gsinθ ...(3)

From equation (1) we can write:

T = m2g - m2a ...(4)

Substituting equation (4) in equation (2), we get:

m2g - m2a - m1g = m1a ...(5)

On solving equation (5), we get the acceleration as:

a = g(m2sinθ - m1) / (m1 + m2)

On substituting the given values, we get:

[tex]a = 2.14 m/s^{2}[/tex]

The distance moved by M2 in 2 seconds can be found out using the formula:[tex]s = ut + \frac{1}{2} at^{2}[/tex]

Here, initial velocity, u = 0m/s Time, t = 2s Acceleration, [tex]a = 2.14 m/s^{2}[/tex]

On substituting these values, we get the distance travelled by M2 as: s = 4.27 m

Therefore, the acceleration of the two blocks is [tex]2.14 m/s^{2}[/tex]. And the distance does block M2 move in 2.00 s is 4.27 m.

For more questions on acceleration

https://brainly.com/question/460763

#SPJ8

A spacecraft is in a circular orbit around the planet Mars at a height of 140km.
A small part of the spacecraft falls off and eventually lands on the surface of the Mars
The small part has a mass of 1.8kg
During its fall, the small part loses 0.932 MJ of gravitational potential energy.
Calculate the gravitational field strength of Mars ​

Answers

Answer:

3.79 m/s^2

Explanation:

We know the small part loses 0.932 MJ of gravitational potential energy during its fall.

Potential energy = mass x gravitational field strength x height

Re-arranging to solve for gravitational field strength:

g = Potential energy/(mass x height)

Plugging in the given values:

g = 0.932 MJ / (1.8kg x 140km)

= 0.932 x 10^6 J / (1.8 x 1000kg x 140 x 1000m)

= 3.79 m/s^2

Therefore, the gravitational field strength of Mars is calculated to be 3.79 m/s^2.

D 4.8
This is a harder question based on the Law of Conservation of Momentum. Take the time to work
your way through it. Start with a diagram.
A 400 kg bomb sitting at rest on a table explodes into three pieces. A 150 kg piece moves off to the
east with a velocity of 150 m s². A 100 kg piece moves off with a velocity of 200 m s at a direction of
south 60° west. What is the velocity of the third piece?

It is possible

Answers

The velocity of the third piece is v₃ = -12500 kg·m/s / m₃

How do we calculate?

The law of conservation of momentum states that the total momentum before the explosion is equal to the total momentum after the explosion.

velocity of the third piece =  v₃.

The total initial momentum before the explosion = 0

The total final momentum after the explosion= 0

Initial momentum = 0 kg·m/s (since the bomb is at rest)

Final momentum = m₁v₁ + m₂v₂ + m₃v₃

m₁ = mass of the first piece = 150 kg

v₁ = velocity of the first piece = 150 m/s (to the east)

m₂ = mass of the second piece = 100 kg

v₂ = velocity of the second piece = 200 m/s (south 60° west)

m₃ = mass of the third piece = unknown

v₃ = velocity of the third piece = unknown

0 = (150 kg)(150 m/s) + (100 kg)(200 m/s)(cos(60°)) + (m₃)(v₃)

final momentum = 0 and hence  v₃ is found as :

0 = 22500 kg·m/s - 10000 kg·m/s + (m₃)(v₃)

-12500 kg·m/s = (m₃)(v₃)

v₃ = -12500 kg·m/s / m₃

Learn more about law of conservation of momentum  at:

https://brainly.com/question/1113396

#SPJ1

One strategy in a snowball fight is to throw a snowball at a high angle over level ground. Then, while your opponent is watching that snowball, you throw a second one at a low angle timed to arrive before or at the same time as the first one. Assume both snowballs are thrown with a speed of 26.5 m/s. The first one is thrown at an angle of 58.0° with respect to the horizontal. Find a - At what angle should the second snowball be thrown to arrive at the same point as the first?, find b - How many seconds later should the second snowball be thrown after the first in order for both to arrive at the same time?

Answers

The second snowball should be thrown at an angle of approximately 48.196° with respect to the horizontal to arrive at the same point as the first snowball.

the second snowball should be thrown 4.582 seconds later in order for both to arrive at the same time.

To find the angle at which the second snowball should be thrown, we can use the fact that the horizontal displacement of both snowballs must be the same.

Let's first find the horizontal and vertical components of the velocity for the first snowball. The initial speed is 26.5 m/s, and the angle is 58.0° with respect to the horizontal.

The horizontal component of the velocity for the first snowball is given by:

V1x = V1 * cos(angle1)

    = 26.5 m/s * cos(58.0°)

    = 26.5 m/s * 0.530

    = 14.045 m/s

Now, let's find the vertical component of the velocity for the first snowball:

V1y = V1 * sin(angle1)

    = 26.5 m/s * sin(58.0°)

    = 26.5 m/s * 0.848

    = 22.472 m/s

Since the vertical acceleration is the same for both snowballs (gravity), the time it takes for both to arrive at the same point is the same. Therefore, we can use the time of flight of the first snowball to calculate the vertical displacement for the second snowball.

The time of flight for the first snowball can be calculated using the vertical component of velocity and the acceleration due to gravity:

t = (2 * V1y) / g

  = (2 * 22.472 m/s) / 9.8 m/s²

  ≈ 4.582 s

Now, let's find the vertical displacement for the second snowball:

Δy = V1y * t - (0.5 * g * t²)

    = 22.472 m/s * 4.582 s - (0.5 * 9.8 m/s² * (4.582 s)²)

    ≈ 103.049 m

To find the angle at which the second snowball should be thrown, we can use the horizontal displacement and the vertical displacement:

tan(angle2) = Δy / Δx

           = 103.049 m / (2 * 14.045 m/s * t)

           = 103.049 m / (2 * 14.045 m/s * 4.582 s)

           ≈ 1.085

Now, we can find the angle2 by taking the arctan of both sides:

angle2 ≈ arctan(1.085)

angle2 ≈ 48.196°

Therefore,

To find how many seconds later the second snowball should be thrown, we can simply use the time of flight of the first snowball, which is approximately 4.582 seconds.

for more such questions on horizontal

https://brainly.com/question/25825784

#SPJ8

Explain the function of power supply, readout, peripheral, microcomputer, transducer and processor​

Answers

The function of the power supply is to provide electrical energy to the device or system that needs it. The power supply converts the incoming voltage from the power source into a form that is usable by the device, such as DC voltage.

The readout is a device or component that displays data or information to the user. The readout could be a simple LED display or a complex graphical display.

A peripheral is a device or component that connects to a computer or other electronic device to provide additional functionality. Examples of peripherals include printers, scanners, and external hard drives.

A microcomputer is a type of computer that is designed to fit on a single microchip. Microcomputers are found in a wide range of devices, including smart phones, tablets, and embedded systems.

A transducer is a device that converts one form of energy to another. In electronics, transducers are commonly used to convert electrical energy into mechanical energy, or vice versa.

The processor is the central component of a computer or electronic device. The processor is responsible for executing instructions and controlling the other components of the system. The performance and capabilities of a device are largely determined by the speed and power of the processor.

A ball is thrown vertically upward with a speed of 15.0 m/s. Find a - How high does it rise? in meters, find b - How long does it take to reach its highest point? in seconds, find c - How long does the ball take to hit the ground after it reaches its highest point? in seconds, find d - What is its velocity when it returns to the level from which it started? in m/s.

Answers

Given that the initial velocity at which the ball is thrown vertically upward is 15m/s. Let us also assume that the value of acceleration due to gravity (g) = 9.8m/s² and in this case, the value will be -9.8m/s² as the ball is moving against gravity.

a) To calculate how high the ball rises, we can use the kinematic equation:

v² = u² + 2gs......(i)

where v ⇒ final velocity

u ⇒ initial velocity

g ⇒ acceleration and,

s ⇒ displacement (the height)

The final velocity will be 0 when the ball reaches its maximum height.

Substituting the values in equation (i), we get

0² = 15² + (2*-9.8*s)

0 = 225 - 19.6s

Thus, s = 225/19.6 = 11.48 m.

Therefore, the ball rises approximately 11.48 meters.

b) To find the time taken to reach the highest point, we can use the kinematic equation,

v = u + gt......(ii)

where t = time

Substituting the values in equation (ii)

0 = 15 - 9.8*t

t = -15/ -9.8 = 1.53 seconds

Thus, the time taken to reach the highest point = 1.53 seconds.

c) To find the time taken for the ball to hit the ground after it reaches its highest point, we can use the equation,

s = ut +1/2gt².....(iii)

As the ball is moving downwards, the initial velocity, u will be 0m/s.

Thus, substituting the values in equation (iii), we get

11.48 = 0*t + 1/2*9.8*t²

11.48 = 4.9t²

t² = 2.34

Therefore t = 1.53 seconds

Thus, the time taken for the ball to hit the ground is 1.53 seconds.

d)  To find the velocity at which the ball returns to the level from which it started, we can use the equation

v = u+ gt.....(iv)

v = 0 + 9.8*1.53

Thus, v = 14.99 ≅ 15 m/s

Therefore, the velocity when it returns to the level from which it started is 15m/s.

Learn more about Velocity, here:

https://brainly.com/question/24824545

A woman stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of v0 = 20.5 m/s. The pebble leaves her hand at a height of h = 55.0 m
above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the pebble leaves the hand. Answer parts a-f.

Answers

(a)The time taken for the pebble to reach the ground is approximately 2.01 seconds, and

(b) the horizontal distance traveled by the pebble is approximately 41.02 meters.

(c) The vertical distance traveled by the pebble is 55 meters.

(d) The initial vertical velocity of the pebble is 0 m/s because it is thrown horizontally.

(e) The vertical acceleration of the pebble is due to gravity and is approximately -9.8 m/s^2.

(f) The negative sign indicates that the pebble is moving downward.

a) To find the time taken for the pebble to reach the ground, we can use the equation for vertical motion:

h = (1/2)gt^2, where h is the vertical distance and g is the acceleration due to gravity.

Rearranging the equation, we have:

t = √((2h) / g), where t is the time taken.

Substituting the given values, we get:

t = √((2 * 55) / 9.8) ≈ 2.01 seconds.

b) The horizontal speed of the pebble remains constant throughout its motion. Therefore, the horizontal distance traveled by the pebble can be found by multiplying the horizontal speed by the time taken:

d = v0 * t, where d is the horizontal distance and v0 is the initial horizontal speed.

Substituting the given values, we have:

d = 20.5 * 2.01 ≈ 41.02 meters.

c) The vertical distance traveled by the pebble is given as 55 meters.

d) The initial vertical velocity of the pebble is 0 m/s because it is thrown horizontally.

e) The vertical acceleration of the pebble is due to gravity and is approximately -9.8 m/s^2.

f) The final vertical velocity of the pebble when it reaches the ground can be found using the equation:

v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.

Since the initial vertical velocity is 0 m/s and the acceleration due to gravity is -9.8 m/s^2, we have:

v = 0 + (-9.8) * 2.01 ≈ -19.8 m/s.

The negative sign indicates that the pebble is moving downward.

For more such questions on velocity, click on:

https://brainly.com/question/80295

#SPJ8

Look at this graphic organizer of requirements to apply to become an astronaut.
Requirements for Astronauts
What does the graphic organizer most suggest about the job of an astronaut?
It is technical and potentially tedious.
It is detailed and potentially exhausting.
It is confidential and potentially exciting.
○ It is complex, demanding, and involves flight.
Save and Exit
Next

Answers

The graphic organizer suggests that the job of an astronaut is complex, demanding, and involves flight.

This conclusion can be drawn by examining the nature of the requirements listed in the graphic organizer. Firstly, the requirements listed in the organizer are numerous and encompass various aspects. They include educational qualifications, such as having a bachelor's degree in a relevant field, as well as specific experience, like piloting an aircraft.

These requirements highlight the complexity of the job and indicate that astronauts need to possess a diverse set of skills and knowledge. Additionally, the requirements for physical fitness and health demonstrate the demanding nature of the job.

Astronauts are expected to undergo rigorous physical training to ensure they can handle the physical stresses associated with space travel and the conditions they will encounter in space. This indicates that the job can be physically exhausting and requires individuals to be in excellent health.

Lastly, the inclusion of flight-related requirements, such as the need to pass a long-duration spaceflight physical and participate in aircraft flights, implies that the job of an astronaut involves actual flight experiences. This indicates that astronauts are directly involved in piloting spacecraft and are expected to have practical experience in flying.

know more about astronaut here:

https://brainly.com/question/30733605

#SPJ8

Which statement best describes the refraction of light as it moves from air to glass?

A. Light bends due to the difference in the speed of light in air and glass.

B. Although the light bends, its speed remains the same as before.

C. Although the light changes speed, it continues in the same direction as before.

D. Light undergoes diffraction due to the difference in the speed of light in air and glass.

Answers

A. Light bends due to the difference in the speed of light in air and glass.

An object of mass M = 14.0 kg is attached to a cord that is wrapped around a wheel of radius r = 12.0 cm (see figure). The acceleration of the object down the frictionless incline is measured to be a = 2.00 m/s2 and the incline makes an angle = 37.0° with the horizontal. Assume the axle of the wheel to be frictionless. Answer parts a-c.

Answers

a.  the tension in the rope is  91.5 N.

b.   the moment of inertia of the wheel is  0.1008 kg⋅m².

c.  the angular speed of the wheel 2.30 s after it begins rotating is  38.34 rad/s.

How do we calculate?

(a)

The tension in the rope can be found by considering the forces acting on the object.

ma = mg*sin(θ) - T

(14.0 kg)(2.00 m/s²)

= (14.0 kg)(9.8 m/s²)*sin(37°) - T

T = (14.0 kg)(9.8 m/s²)*sin(37°) - (14.0 kg)(2.00 m/s²)

T =  91.5 N

(b)

The moment of inertia of a wheel:

I = (1/2)MR²

I = (1/2)(14.0 kg)(0.12 m)²

I = 0.1008 kg⋅m²

(c)

The angular acceleration of the wheel:

α = a/R

α = angular acceleration,

a = linear acceleration of the object,

R =  radius of the wheel.

α = (2.00 m/s²)/(0.12 m)

α = 16.67 rad/s²

The angular speed (ω) of the wheel after time t is :

ω = ω₀ + αt

ω = 0 + (16.67 rad/s²)(2.30 s)

ω = 38.34 rad/s

Learn more about angular speed at:
https://brainly.com/question/25279049

#SPJ1

Other Questions
GEOMETRY 50POINTSFIND x We know now that kWh (or GJ) is a unit of energy and kW is a unit of power, and energy = power x time. But, what is the difference between energy and power? or how would you define each? (hint: think units, how is a watt represented in joules?). Please provide some examples to illustrate the difference; could be from any system (lights, motors, etc). The Smelting Department of Polzin Company has the following production and cost data for September. Production Beginning work in process 2,000 units that are 100% complete as to ma- terials and 20% complete as to conversion costs; units started and finished 9,000 units; and ending work in process 1,000 units that are 100% complete as to materials and 40% complete as to conversion costs. Manufacturing costs Work in process, September 1, $15,200 materials added $60,000; labor and overhead $132,000. Polzin uses the FIFO method to compute equivalent units. Instructions (a) Compute the equivalent units of production for (1) materials and (2) conversion costs for the month of September. (b) Compute the unit costs for the month. (c) Determine the costs to be assigned to the units transferred out and in process. Subscribe Name 3 teratogens and describe their possible effects on the developing fetus. Hormone release from the posterior pituitary is controlled by the hypothalamus through the use of O hypothalamic releasing hormones O hypothalamo-hypophysial portal system O hypothalamo-hypophysial tract neurosecretory cells O all of the above QUESTION 91 The Hormone ______ will cause maturation and normal development of T lymphocytes O epinephrine O glucagon O thyroid hormone O thymosin QUESTION 92 : Reduced secretion of this hormone causes type 1 diabetes mellitus O epinephrine O glucagon O thyroid hormone O insulin QUESTION 93 The hormone cortisol is released from the____ due to ___ O adrenal medulla / low blood pressure O adrenal cortex /high blood pressure O adrenal cortex / stress O adrenal medulla / stress QUESTION 94 The hormone _____ is released from the_______ when blood calcium concentration is ___O PTH/parathyroid glands/low O EPO/kidneys / low O ADH/ kidneys / high O ADH/ lungs / low QUESTION 95 This area of the adrenal cortex releases glucocorticoids O zona fasciculata O zona glomerulosa O zona reticularis O zona medullaris QUESTION 96 Aldosterone is released from the____ and acts on____ O adrenal cortex / skeletal muscle O adrenal medulla / testes O adrenal cortex / kidney tubules O adrenal medulla / liverQUESTION 97 Glucagon is released from the____ when blood sugar levels are__ O liver / high O thyroid gland / low O pancreas/low O pancreas/high QUESTION 98 All hormone release in the human body is regulated by negative feedback system O True O False QUESTION 99 The thyroid hormones T3 and T4 are produced within the_____ of the thyroid glandO parafollicular cells O follicular cells O thyroid follicles O all of the above QUESTION 100 Parathyroid hormone is released from the_____ and causes increased activity of_____ O parathyroid glands / osteoblasts O thyroid gland / osteoclasts O parathyroid glands / osteoclasts O thyroid gland / osteoblasts Read the excerpt from Part 1 of The Odyssey.My men were mutinous,fools, on stores of wine. Sheep after sheep theybutchered by the surf, and shambling cattle,feasting,while fugitives went inland, runningto call to arms the main force of Cicones.This was an army, trained to fight on horsebackor, where the ground required, on foot. They camewith dawn over that terrain like the leavesand blades of spring. In 200 words, Explain the difference between drug abuse and drugmisuse. who create god? can you tell me? Question 121 ptsA sudden decrease in the value of stocks due to bad economic news causes investors riskto experienceInterest rateMarketInflationO Liquidity PreviousNext Suppose You Have A Monthly Entertainment Budget That You Use To Rent Movies And Purchase CDs. You Currently Use Your Income To Rent 5 Movies Per Month At A Cost Of $5.00 Per Movie And To Purchase 5CDs Per Month At A Cost Of $10.00 Per CD. Your Marginal Utility From The Fitt Movie Is 10 And Your Marginal Utility From The Fifth CD Is 12 . Are You Maximizing On page 69 of his article, "The New Halakhic Letter and the Origins of the Dead Sea Sect," Schiffman argues with regard to the existence of legal parallels between 4QMMT and Sadducean legal opinions recorded in the Mishnah, that "only one possible explanation can be offered for this phenomenon. The earliest members of the sect must have been Sadducees who were unwilling to accept the situation that came into being in the aftermath of the Maccabean revolt." Do you agree with this statement? Why or why not? The monetary policy instrument the Reserve Bank chooses to useis theA)monetary base.B)cash rate.C)exchange rate.D)discount rate.E)flexible exchange rate. Find one example of a myth about slavery that Frederick Douglass discusses in his Narrative.For example, Douglass explains that there is a myth about slave songs slaves dont sing because theyre happy, he explains, but that theyre sad. 3. A 300Kg bomb is at rest. When it explodes it separates intotwo pieces. A piecefrom 100Kg it is launched at 50m/s to the right. Determine thespeed of the second piece. Find the value of the combination. 10C0 0 1 10 Choose one of your relationships, and at the start of your answers indicate the relationship thatyou are planning to analyze (eg. My relationship with my best friend, or with my mother etc.)1. What type of control would best describe your relationship is it symmetrical,complementary, or meta-complementary? Explain your rationale.2. In terms of Knapps 10 stages describe the current stage(s) of your relationship and thebehaviors that characterize your communication in this stage. Give specific examples tosupport your answer.3. Are you likely to remain at the current stage, or do you anticipate moving to anotherstage? Which one? Explain your answer.4. Are you happy at the current stage? If you are happy, describe what you can do toincrease the likelihood that the relationship will remain at this stage. If you are nothappy, discuss what you can do to move the relationship to a more satisfying stage.5. Because it takes two people to create a relationship, try to define your "partnersperspective. What stage do you think that your "partner" would describe the relationshipas being at currently. Explain your answer. (What does your partner do to put therelationship at the current stagewhat would you like them to do to maintain it at thisstage or to move it to a new stage?) You have a monthly line of credit with the local bank. Please forecast the maximum line of credit you will need available, and what month that will be if: Sale price per unit is $28 /unit and is immediately available for your use (cash) Inventory carrying cost is 25% of average 12 month forecasted inventory worth, charged monthly. The Raw material is $10 /unit The profit on umbrella sales is $5/unit (the owner takes that cash out of the business each month). The plants conversion cost is $3.85/unit (includes your salary, your worker's salaries, healthcare, vacation, plant heat/air, plant electric, plant water/sewer, taxes, insur. and other miscellaneous manufacturing cost etc.) The plants scrap & return scrap cost is $15/unit (Raw + conversion) The manufacturing rework cost is $2/unit The business return and rework cost is $10/unit (you pay customers shipping) Sales returns are immediately refunded full sales price Cost of rework is paid the month it comes out of the process (workers pre-paid monthly) > Bank Loans are immediately payable when excess cash exist (no interest rate being charged) 6. What month will you have the most money tied up in inventory? 7. Would you want this business based on its ROI (Return/ Investment)? Income. Losses. Investment Suppose A,B,C are events such that A C=B C. Show that P[A]P[B]P[C] In the following case, which cognitive bias, if any, is it reasonable to conclude is occurring in Nora?Nora goes to a sports bar to watch the NBA Championship game between the Golden State Warriors and the Cavaliers. She is a big fan of Golden State Warriors. At the bar, there are some fans of the Cavaliers who are cheering and getting rowdy when the Cavaliers score points. Nora immediately thinks that Cavaliers fans are annoying and rude. However, whenever the Golden State Warriors score points, fans of the Golden State Warriors, including Nora, cheer and get rowdy as well. Despite acting similarly to Cavaliers fans, Nora thinks that fans of Golden State Warriors are just polite but passionately loyal fans.a. In-Group Biasb. Confirmation Biasc. Availability Heuristicd. Plausible that there is no cognitive biase. Fundamental Attribution Error A magnetic field strength of 5uA/m is required at a point on 8 = /2, 2 km from an antenna in air. Neglecting ohmic loss, how much power must the antenna transmit if it is? a. A hertzian dipole of length /25? b. /2 C. /4