A small mailbag is released from a helicopter that is descending steadily at 1.53 m/s. (a) After 4.00 s, what is the speed of the mailbag? v = m/s (b) How far is it below the helicopter? d = m (c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.53 m/s?

Answers

Answer 1

Answer: A small mailbag is released from a helicopter that is descending steadily at 1.53 m/s. Then,

a) after 4s, the speed of the mailbox will be, 40.73m/s downwards.

b)78.4m downwards.

c) v=37.67m/s downward. and d=78.4m downward.

Explanation: To find the answer, we need to know more about the equations of uniformly accelerated motion.

What are the equations of uniformly accelerated motion?The equations of uniformly accelerated motion under gravity are,

                                [tex]v=u+at\\S=ut+\frac{1}{2}at^2\\ v^2-u^2=2aS\\S=\frac{v+u}{2}t[/tex]

How to solve the problem?a) speed of the mailbag after 4s,

            [tex]v=u+gt=-1.53-(9.8*4)=-40.73 m/s^2[/tex]

b) How far it is below the helicopter,

           [tex]d_1=ut+\frac{1}{2}gt^2=(-1.53*4)+\frac{-9.8*16}{2} =-84.52 m\\d_2=vt=-40.73*4=-162.92 m\\d=-162,92+84.52=-78.4m[/tex]

c) If the helicopter is rising steadily, then v and d will be,

                 [tex]v=u+gt=1.53-(9.8*4)=-37.67 m/s[/tex]

                 [tex]d_1=ut+\frac{1}{2}gt^2=(1.53*4)+\frac{-9.8*16}{2} =-72.28 m\\ d_2=vt=-37.67*4=-150.68 m\\d=-150.68+72.28=-78.4 m[/tex]

Thus, we can conclude that, the answers to the question are, a) after 4s, the speed of the mailbox will be, 40.73m/s downwards.

b)78.4m downwards.

c) v=37.67m/s downward. and d=78.4m downward.

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Related Questions

A mountain skier has begun descending the 30o slope. if the coefficient of kinetic friction is 0.10, what is her acceleration?

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The acceleration of the body is found to be -4.05 m/s^2

What is the acceleration?

We define the acceleration as the rate of change of the velocity with time. Hence, we can write that;

a = (μcosθ - sinθ)g

a = acceleration

μ = coefficient of kinetic friction

θ = angle of inclination

g = acceleration due to gravity

Thus;

a = (0.10cos 30 - sin 30) 9.8

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On the day Harvey is to present his dissertation, he wakes up with a severe headache. During the presentation, he feels no pain in his head. Fifteen minutes after the presentation is over, Harvey becomes aware of his headache again. Harvey's experience is best explained by

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Gate-control theory

What is Gate-control theory?

According to the Gate Control Theory of Pain, the spinal cord has a system that allows pain signals to be amplified in the brain before being processed at the spinal cord itself, or attenuated there. 

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You are singing a song at karaoke and reach a part that requires a louder, more intense sound. What must you do to produce a louder sound

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More energy is used in creating a louder sound from the mouth.

What must you do to produce a louder sound?

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Sketch the path that light would take through the slit. Show the beams that are incident on and reflected from the mirror. Draw arrowheads to indicate the direction that light travels.

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This is the path of light through slits.

what are incident light ?

The light that hits a topic is called as incident light. It may originate from an artificial source or from a natural source, like as the sun. Incident light is also light that reflects off a reflector or another surface.

what is light ?

The region of the electromagnetic spectrum that the human eye sees as light, or visible light, is composed of electromagnetic radiation. The Sun is the primary source of natural light on Earth. Fire has historically been a major source of light for people, from ancient campfires to modern kerosene lamps. Electric lighting has largely taken the place of firelight as a result of the development of electric lights and power systems.

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A thin copper rod that is 1.0 m long and has a mass of 0.050 kg is in a magnetic field of 0.10 T. What minimum current in the rod is needed in order for the magnetic force to cancel the weight of the rod? A thin copper rod that is 1.0 m long and has a mass of 0.050 kg is in a magnetic field of 0.10 T. What minimum current in the rod is needed in order for the magnetic force to cancel the weight of the rod? 7.6 A 2.5 A 9.8 A 4.9 A 1.2 A

Answers

The minimum current in the rod needed is 4.9 A for the magnetic force to cancel the weight of the rod.

What is a magnetic field?

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.

A moving charge in a magnetic field experiences a force perpendicular to its velocity and the magnetic field.

Force on a current carrying rod due to the magnetic field is given as:

F = i*L*B

Where,

i is current in the rod.

L is the length of rod = 1 m

B is magnetic field = 0.10 T

Here,

The Magnetic force is balanced by the weight of the rod

i*L*B = m*g

i* ( 1 )* ( 0.10 ) = 0.05 * 9.8

i = 4.9 A

Hence, option d is correct.

The minimum current in the rod needed is 4.9 A for the magnetic force to cancel the weight of the rod.

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A transformer usefully transfers 190,000 W of the 200,000 W of energy supplied to it. How efficient is the transformer?

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Energy efficiency = useful energy output/ total energy input
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A toy car is placed at 0 on a number line. It moves 9 cm to the left, then 4 cm to the right, and then 6 cm to the left. What is the total distance the toy car traveled?

1 cm
5 cm
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19 cmis the displacement of an object during a specific unit of time.

Answers

The total distance the toy car traveled is D. 19cm

Calculations and Parameters

The total distance of the toy car traveled in cm would be calculated

We would add the sum:

D = 9 + 4 + 6 cm

D = 19 cm

Therefore, the total distance the toy car traveled in cm is 19 cm.

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What occurs when a temperate glacier meets its pressure-melting point?

Answers

Answer:

a whole new glacier will start because the other one is melting

What happens in a parallel circuit when you increase the number of bulbs

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As more bulbs are added in parallel, the current strength will decrease OR. As more bulbs are added in parallel, the current strength will increase.

The resistance, r, to electricity of a cylindrical-shaped wire is given by the equation r = startfraction p l over pi d squared endfraction, where p represents the resistivity of the wire’s material, l represents the length of the wire, and d represents the diameter of the wire. what happens to the resistance of the wire as the diameter approaches 0?

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As the diameter of the wire approaches to zero, the resisitance approaches  infinity.

What is resistance?

Electrical resistance is the physical capacity of any body to oppose the flow of electric current even when there is an applied potential difference, capacity calculated by Ohm's First Law, and, according to the International System of Units (IS), is measured in ohms.

With that being said, and knonwing that:

R = Resistance; p = Resistivity; L = Length; d = Diameter

It is possible to calculate the resistance of the wire by:

[tex]R = p\frac{L}{A}[/tex]

Where A is calculated by:

[tex]A = \frac{\pi d^{2} }{4}[/tex]

Changing in the first formula:

[tex]R = p\frac{L}{\pi d^{2} } \\\\R = p\frac{4L}{\pi d^{2} }[/tex]

Knowing that when the diameter tends to zero resistance tends to infinity, it is possible to say that resistance of the wire will tend to infinity when the diameter approaches zero.

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Answer:

The resistance approaches infinity.

Explanation:

100% Correct

A 55 kg track and field athlete has an average power output of 5.4 kW during the 200 meter dash. How quickly did she finish the race?
Group of answer choices

a. 20 s

b. 22 s

c. 23 s

d. 18 s

Answers

The time taken for the athlete to finish the race is 20 s (Option A)

What is power?

Power is simply defined as the rate at which work is done. It can be expressed mathematically as

Power (P) = work (W) / time (t)

But

Work = weight × distance

Therefore,

Power = (weight × distance ) / time

How to determine the time Mass (m) = 55 KgAcceleration due to gravity (g) = 9.8 m/s²Weight = mg = 55 × 9.8 = 539 NPower (P) = 5.4 KW = 5.4 × 1000 = 5400 WDistance (d) = 200 mTime (t) =?

Power = (weight × distance ) / time

5400 = (539 × 200) / t

5400 = 107800 / t

Cross multiply

5400 × t = 107800

Divide both side by 5400

t = 107800 / 5400

t = 20 s

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Location C is 0.02 m from a small sphere which has a charge of 3 nanocoulombs uniformly distributed on its surface. Location D is 0.06 m from the sphere. What is the change in potential along a path from C to D?

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sorry for the late reply back I have been working on this project for a year now so it will not care if we can get the best of him and also has a full one of the most common misconceptions is that Africa is one large country and its followers are known as Sikhs and is the last survivor from the whole family and the fearful of all that is a metaphor of joy organised by the way I have

The change in potential along a path from C to D due to a small charged sphere is 900 V.

Given:

Charge, Q = 3 nC = 3 × 10⁻⁹ C

Distance between the sphere and point C, r₁ = 0.02 m

Distance between the sphere and point D, r₂ = 0.06 m

Calculation:

We know that the electric potential is given as:

V = k Q/r   - (1)

where, V is the electric potential

            k is Coulomb's force constant

            Qis the charge on the  sphere

            r is the  separation distance

The electric potential at point C due to charged sphere can be given as:

V₁ = k Q/r₁

   = (9×10⁹ Nm²/C²) [(3 × 10⁻⁹ C)/(0.02 m)]

   = 1350 V

The electric potential at point D due to charged sphere can be given as:

V₂ = k Q/r₂

   = (9×10⁹ Nm²/C²) [(3 × 10⁻⁹ C)/(0.06 m)]

   = 450 V

Now, the change in potential along the path from C to D can be calculated as:

ΔV = V₂ - V₁

     = 450 V - 1350 V

     = -900 V

The negative sign indicates that the work is done against the electric field in moving the charge from C to D.

Therefore, the change in potential along a path from C to D is 900 V against the direction of the electric field.

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In the paralleling technique, the central ray of the x-ray beam must be _____ to the film sensor and the long axis of the tooth.

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The film sensor and the long axis of the tooth must be aligned perpendicular to the central ray of the x-ray beam when using the paralleling approach.

To find the answer, we need to know above the paralleling technique in the dental x-ray.

What is paralleling technique?The paralleling technique is the most dependable method for capturing periapical x-rays because it produces high-quality images with little distortion. The central x-ray beam should be pointed perpendicular to the long axis of the tooth in issue, and the film should be positioned parallel to it.The paralleling technique is the most dependable method for capturing periapical x-rays because it produces high-quality images with little distortion.The central x-ray beam should be pointed perpendicular to the long axis of the tooth in issue, and the film should be positioned parallel to it.When preparing for an x-ray, it is imperative to keep in mind the root anatomy.The maxillary occlusal plane of the patient should also be parallel to the ground.

Thus, we can conclude that, the film sensor and the long axis of the tooth must be aligned perpendicular to the central ray of the x-ray beam when using the paralleling approach.

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A parallel plate capacitor fully charged to voltage V is connected to the battery (the voltage on the plates remains fixed). If the plates are pulled away from each other, how would it affect the charge on the capacitor

Answers

Charge will decreases.

A parallel plate capacitor when it is fully charged to voltage V is given as:

                    C = Q/V

The capacitance of parallel plate capacitor with two plates of Area A separated by distance d and no dielectric material between plates is

                    C = ε₀ A /d

since from above equation it shows C is proportional to Q and also C is inversely proportional to distance d.

So, ATQ when d increases C will decrease which in result decreases charge on the capacitor.

Thus,  Charge will decrease.

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Why is the molten metallic outer core and the magnetic field important to life on earth?.

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Earth's magnetic field and molten metallic outer core creates barrier to stop Sun's radiation to strip away our atmosphere.

As we know that inside the earth there are several layers of the earth. The outer one is the Earth's crust which is all the ground we have , then we have the mantle that consist upper and lower crust. And then after we have outer and inner crust.

The outer core is made of molten material that consist of mainly iron and other ferrous metals. The core is important for many reasons-

The inner core rotates counter to the outer core which in return creates powerful magnetic field. And this magnetic field creates barrier to stop Sun's radiation to strip away our atmosphere.The outer core is conveniently under the crust which is fragmented into tectonic plates. Because of this, the terrain changes and sometimes holes are formed in the crust allowing volcanoes to form. The volcanoes provide all sorts of natural gases which is essentials to life and also help in creating very fertile land in which animals can thrive.

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The basic principle behind the simple DC motor is that wires that carry experience when placed in regions of space that have

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The principle of DC motor is based on Fleming’s left hand rule. i.e., the current carrying wires experiences a force when placed in region of space that have magnetic field.

According to Fleming’s left hand rule Stretch the thumb, forefinger, and middle finger of the left hand until they are parallel to one another. If the thumb is pointing in the direction of motion, or the force acting on the conductor, and the middle finger is pointing in the direction of the magnetic field, the forefinger is pointing in the direction of current flow.

An armature revolves inside a magnetic field of a DC motor. A DC motor's fundamental operating concept is based on the idea that whenever a current-carrying conductor is positioned inside a magnetic field, that conductor will experience mechanical force.

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The image above shows a crash test dummie's head traveling at -1.005 m/s while striking a headrest from a car traveling 4.524 m/s with a mass of 2005.6 kg. If the crash test dummie's head head bounces off the headrest with a 9.965 m/s and the car continues traveling at 4.487 m/s, calculate the mass of the crash test dummie's head?

Answer:

Answers

From the calculation, the mass of the dummies head is 1647.44 Kg

What is the mass of the crash test dummies head?

We know that the momentum after collision is equal to the momentum before collision.

Mass of the headrest = 2005.6 kg

Initial velocity of the head rest = 4.524 m/s

Final velocity of the head rest =  4.487 m/s

Mass of the dummy = m

Initial velocity of the dummy = -1.005 m/s

Final velocity of the dummy = 9.965 m/s

Then;

(m *  -1.005) + (2005.6 * 4.524 ) = (2005.6 *   4.487) + (m * 9.965)

-1.005m + 9073.33 = 8999.13 + 9.965m

9073.33 - 8999.13  = 9.965m + 1.005m

18072.46 = 10.97m

m = 18072.46/ 10.97

m = 1647.44 Kg

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In a bell-shaped curve, the x-axis (horizontal direction) of the graph represents which of the following

Answers

X-axis represents the value of a particular characteristic; characteristics of an organism can include such traits as size and color.

What is a bell-shaped curve?

A typical sort of distribution for a variable is the bell curve, commonly referred to as the normal distribution. The normal distribution graph, which has a symmetrical bell-shaped curve, is what gave rise to the phrase "bell curve."

The highest point on the curve, or the top of the bell, denotes the most likely outcome in a set of data (its mean, mode, and median), while all other potential outcomes are symmetrically distributed around the mean, resulting in a downward-sloping curve on each side of the peak. The bell curve's standard deviation provides information about its width.

The x-axis represents a variable's value, while the y-axis provides information about the likelihood that we will see that value.

I understand the question you are looking for is this:

In a bell-shaped curve, the x-axis (horizontal direction) of the graph represents which of the following?

a. The value of a particular characteristic; characteristics of an organism can include such traits as size and color.

b. The number of individuals

c. Time

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What are the consequences of the discovery of Airplanes?
Why is this discovery important?
Are there any negative/bad consequences?​

Answers

Answer:

The use of airplanes also allows many people to acquire jobs in many different areas of aviation. The invention of the airplane led to new technologies, new ways of battle, modern warfare, and safer and more efficient travel. Space travel also would not have been possible without the idea of air travel.

Explanation:

what happens as a planet approaches the perihelion of its orbit around the sun?

Answers

the planet approaches to it's highest velocity

Since the Sun is not at the center of an elliptical orbit, the planet moves closer towards and further away from the Sun as it orbits.

What happens as a planet approaches the perihelion of its orbit around the sun ?

The place where the planet is closest to the Sun is called perihelion. When the planet is furthest away from the Sun, it is at aphelion.

The words "aphelion" and "perihelion" come from the Greek language. In Greek, "helios" mean Sun, "peri" means near, and "apo" means away from.

When Earth is at perihelion, it is about 147 million km (91 million miles) from the Sun. When it is at aphelion, it is 152 million km (almost 95 million miles) from the Sun.

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d. e. Study the given diagram and calculate the following: i. work done by load ii. work done by effort iii. M.A iv. V.R v. efficiency [Friction is neglected] ​

Answers

i. The work done by the load is load x distance moved by load.

ii. The work done by effort is effort applied x distance moved by effort.

iii. The mechanical advantage of the simple machine is Load/effort.

iv. The velocity ratio of the simple machine is 2.

v. The efficiency of the machine is M.A/V.R x 100%.

Work done by the load

The work done by the load is the product of the load and the distance through which the load is moved. The magnitude is calculated as follows;

Work done by the load = load x distance moved by load

Work done by effort

The work done by the effort is the product of the effort and the distance through which the effort is applied. The magnitude is calculated as follows;

Work done by effort = effort applied x distance moved by effort

Mechanical advantage of the simple machine

M.A = Load/Effort

Velocity ratio of the simple machine

V.R = distance moved by effort / distance moved by load

V.R  = 30 cm/15 cm

V.R = 2

Efficiency of the machine

E = (M.A/V.R) x 100%

Thus, the work done by the load is load x distance moved by load.

The work done by effort is effort applied x distance moved by effort.

The mechanical advantage of the simple machine is Load/effort.

The velocity ratio of the simple machine is 2.

The efficiency of the machine is M.A/V.R x 100%.

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As we adjust to low light, our ______ becomes nonfunctional and it may take ______ for rhodopsin to become regenerated sufficiently so that you can see well in low-light conditions.

Answers

As we adjust to low light, our cone becomes nonfunctional and it may take 20-30 min for rhodopsin to become regenerated sufficiently so that you can see well in low-light conditions.

Rhodopsin:

The most prevalent protein in the retinal rod cells is rhodopsin, a G-protein coupled receptor. It consists of two components: an opsin molecule connected to an 11-cis-retinal chromophore, which serves as the main photoreceptor molecule of vision. When a photon of light excites 11-cis retinal, rhodopsin is linked to it. This isomerizes into an all-trans conformation.

Rhodopsin is crucial to our ability to see in low light because it enables the rods in our eyes to receive photons and detect light. As rhodopsin absorbs a photon, it separates into a retinal and an opsin molecule before slowly and at a constant rate recombining back into rhodopsin. But because this happens gradually, it takes some time for our eyes to get used to the dark. For humans, acclimating to the dark takes roughly 20 to 30 minutes.

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The decomposition of H2O2 is a first-order reaction given by the formula: Rate = k [H2O2]1. How would the reaction rate be affected if the H2O2 concentration were double its original value?

Answers

Answer: The decomposition of H₂O₂ is a first-order reaction. Then, the reaction rate will be 2 times the original rate, if we double its concentration value.

Explanation: To find the answer, we need to know about the decomposition of H₂O₂.

What is the rate of reaction, if we double the concentration of H₂O₂?We have the equation of decomposition of H₂O₂ as,

                              2H₂O₂→ 2 H₂O+ O₂

We have given that, the equation of reaction rate of the first order reaction as,

                              Rate = k [H₂O₂]1

As we know that the equation of reaction rate is,

              Rate = rate constant × concentration of [H₂O₂]

Thus, by comparing both the equations, we get,

         rate constant=k and the concentration of [H₂O₂] = 1[H₂O₂].

Given that the concentration is doubled. Then the expression for rate will be,

                              Rate = 2k [H₂O₂].

Thus, we can conclude that the rate of reaction will be 2 times the initial rate if we double the concentration.

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If we double the concentration value, the reaction rate will be twice as fast as before.

In order to determine the solution, we must understand how H2O2 breaks down.

If we double the concentration of H2O2, what will happen to the reaction rate?The formula for the breakdown of H2O2 is,

                        2H₂O₂→ 2 H₂O+ O₂

We have provided the first order reaction's reaction rate equation as,

                      Rate = [H2O2] k

As we are aware, the reaction rate equation is

                   Rate = rate constant × [H2O2] concentration

As a result, by comparing the two equations, we obtain, rate constant is k, and the [H2O2] concentration is 1 [H2O2].The concentration has doubled as a result. Afterward, the rate expression will be,

                           Rate = [H2O2] 2k.

As a result, we can infer that doubling the concentration will cause the reaction rate to double.

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2) Which pattern of organization did Alicia choose for her speech outline?

Answers

The pattern of organization Alicia chose for her speech outline is referred to as topical.

What is Topical pattern of organization?

This type of organization involves the arrangement of subtopics within a large or broad topic.

Alicia talked about speech pathology and the different subtopics include challenges, therapy etc which depicts topical pattern.

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what is the number of moles in 12.04×10²³ particles of NH3?​

Answers

Answer:

[tex]\huge\boxed{\sf m = 2 \ moles}[/tex]

Explanation:

Given data:

No. of particles = 12.04 × 10²³ particles

Avogadro's number = 6.02 × 10²³

Required:

No. of moles = n = ?

Formula:

[tex]\displaystyle No. \ of\ moles\ = \frac{no.\ of \ particles}{Avogadro's \ number}[/tex]

Solution:

Put the given in the above formula

[tex]\displaystyle n =\frac{12.04 \times 10^{23}}{6.02 \times 10^{23}} \\\\n = 2 \times 1 \ moles\\\\m = 2 \ moles\\\\\rule[225]{225}{2}[/tex]

How much longer (percentage) is a one-mile race than a 1500-m race (""the metric mile"")?

Answers

Answer:

1 m = 39.37 in = 3.281 ft

1500 m * 3.281 ft / m = 4922 ft

(5280 - 4922) / 4922 = .073 = 7.3 %

(Note - 1600 m often replaces the 1 mi run)

Two boys with masses of 40 kg and 60 kg stand on a horizontal frictionless surface holding the ends of a light 10-m long rod. The boys pull themselves together along the rod. When they meet the 40-kg boy will have moved what distance?.

Answers

when they meet the 40-kg boy will have moved a distance of 6 m.

What is friction force:

Friction is the force that resists motion when the surface of one object comes in contact with the surface of another.

The principle of center mass.

It is the average position of all the parts of the system, weighted according to their masses.

here,

masses of the boys

M=40 kg,

m=60 kg

x1 = 10 m

The displacement of the 40 kg boy is calculated from the principle of center mass.

XM = ( mx1 + Mx2) / ( m + M )

X(40) = (60 x 10 +  40 x 0) / (40 kg + 60 kg)

X(40) = (600)/(100)

X(40) = 6 m

X(60) = (60 x 0 + 40 x 10 m) / (40 kg + 60 kg)

X(60) = (400)/(100)

X(60) = 4 m

Thus,

when they meet the 40-kg boy will have moved a distance of 6 m.

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Ple can someone help me to answer this question

Answers

The length of the uniform meter stick is 50 cm and the mass of the uniform meter stick is 50 g.

A sketch of the uniform stick and the mass

The sketch of the uniform stick and the mass will be two based on the given statement.

when the uniform stick balances on knife at 10 cm from one end;

-------------------------------------------------------  

↓      10cm           Δ       (L - 10 cm)         ↓

200g                                                      M

When the knife edge is moved 5 cm further

|---------------15 cm-----------------|

-----------------------------------------------------------------------

              ↓      8.75 cm           Δ       (L - 15 cm)         ↓

          200g                                                               M

From the first diagram, apply principle of moment;

200(10) = M(L - 10) ------- (1)

From the second diagram, apply principle of moment;

200(8.75) = M(L - 15)   ------- (2)

From equation (1); M = (2000) / (L - 10)

From equation (2); M = (1750) / (L - 15)

Solve (1) and (2);

(2000) / (L - 10) = (1750) / (L - 15)

1750(L - 10) = 2000(L - 15)

L - 10 = 2000/1750(L - 15)

L - 10 = 1.143(L - 15)

L - 10 = 1.143L - 17.14

17.14 - 10 = 1.143L - L

7.14 = 0.143L

L = 7.14/0.143

L = 50 cm

Mass of the uniform stick

M = (2000) / (50 - 10)

M = 50 g

Thus, the length of the uniform meter stick is 50 cm and the mass of the uniform meter stick is 50 g.

Learn more about length of meter stick here: https://brainly.com/question/17225736

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What is kinetic energy? A. stored energy B. the energy of motion C. the energy of light D. the energy at the top of a roller coaster​

Answers

Answer:

B. the energy of motion

Explanation:

Energy of motion. Kinetic energy is essentially the release of potential energy which is when an object has the potential to do work, due to it's position or molecular composition.

What does oxygen deficit represent?

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Answer: It represents a small amount of oxygen being taken into the body when the body consumes more oxygen than what is being intake

Explanation: to be deficit means the amount of something is too small and there for oxygen deficit is a too small amount of oxygen.

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