A cessna 172 plane that is used to transport up to four VIPs in 2km in the air. If the potential energy of the VIP plane with three VIP onboard is 800 J, what is the combined massof the cessna and passanger

Answers

Answer 1

The combined mass of the cessna plane and the passangers, with a potential energy of 800 J is 0.041 kg.

What is mass?

Mass can be defined as the quantity of matter a body contains.

To calculate the combined mass of the cessna plane and passangers, we use the formula below

Formula:

P.E = Mgh......... Equation 1

Where:

P.E = Potetial energy M = Combined mass of the cessna plane and the passangersg = Acceleration due to gravityh = Height.

Make M the subject of the equation

M = P.E/gh............. Equation 2

From the question,

Given:

P.E = 800 Jh = 2 km = 2000 mg = 9.8 m/s²

Substitute these values into equation 2

M = (800)/(200×9.8)M = 0.041 kg

Hence, the combined mass of the cessna plane and the passangers is 0.041 kg.

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Related Questions

A boat with a mass of 1000 kg drifts with the current down a straight section of river parallel to the +x axis with a speed of 2.0 m/s. At t 0 the boat engages its engines, and accelerates at 2.7 m/s7. If the boat is oriented with its nose 45 from the +x axis, which of the following is a possible value for the boat's momentum at t- 3.0 s after the engine had started?

Answers

8100 kgm/s is a possible value for the boat's momentum at t- 3.0 s after the engine had started

m=1000kg

a=2.7 m/s^2

t=3

I=F/t

I=2700/2

I=900

F×t=P

P = momentum

t=time

f= force

F×t=P

P=2700×3

P=8100 kgm/s

Momentum is the result of a particle's mass and velocity combined. A vector quantity with both magnitude and direction is momentum. A particle's force is equal to its rate of change in momentum over time, which is stated in Isaac Newton's second equation of motion.

Any grouping of particles has a momentum equal to the vector sum of its momenta. The third law of Newton asserts that forces between particles are equal and opposite, and that any change in one particle's momentum is totally counterbalanced by a similar change in another particle's momentum.

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assume mvp contains 410 story points of work. how long will it take to deliver mvp if velocity is 18 story points per sprint and each sprint is two weeks in duration?

Answers

To learn about the velocity and momentum.

What is velocity?

The direction of motion of a body or object is determined by its velocity. In most cases, speed is a scalar variable. In their most basic form, vector quantities are speeds. It measures how quickly a distance changes within an area. What counts is the change in displacement rate.

What is momentum?

Mass in motion is quantified by momentum, or how much mass is moving in how much space. It typically has the letter P.

find

how long would it take to complete the entire project Y each story point is two weeks long ?

The product story point is 410 story points and 18 story points per spirit.

so the number of spirits in the product is given as

the number of spirit = 410/18 =  23

23 spirits

the each spirits take a two weeks, so

the time to complete the entire project = so it take to complete entire project.

Therefore, 23 sprint and each sprint is two weeks in duration.

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The larger the frequency of a photon of light, the _______ the energy of the photon.

Answers

The larger the frequency of a photon of light, the increase the energy of the photon.

As frequency increases, the energy of emitted photons will increase. The opposite is also actual. as the frequency of radiation decreases, there may be a corresponding lower in the power of emitted photons.

The higher the frequency, the more energy the photon has. Of path, a beam of mild has many photons. This means that absolutely intense purple light can bring more electricity to a given area than less severe blue light.

The quantity of energy is directly proportional to the photon's electromagnetic frequency and consequently, equivalently, is inversely proportional to the wavelength. The better the photon's frequency, the better its energy. Equivalently, the longer the photon's wavelength, the decrease its power.

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Quarks are only inside of protons

Answers

In 1964 Gell Mann and Zweig introduced a baryonic triplet consisting of three hypothetical particles that are termed as Quarks.

The quark model is able to explain many features of elementary particles and gives a good insight into the structure of baryons and mesons.

Quarks are the fermions as the basic building block if we use fermions then we can get fermions and bosons. These bosons are assumed as antiquark pairs.

Actually the three quarks proposed are - up quark (u) , down quark(d), strange quark (s)Quarks and antiquarks have fractional charge . For example u quark ,[tex]q= e(1/2 +1/2*1/3 +1/2*0)\\=+2/3 e[/tex]Quarks have no internal structure as they are point particles.Hadron like proton is composed of three quarks.Quarks are found in protons but can't say quarks are only found in protons. Because evidently quarks and gluons are basic building blocks of protons as wells as neutrons.

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From the information given in the diagram below, find the coefficient of friction between
the 43 kg box and the surface on which it is pulled. Note that the box is accelerating at
0.79 m/s2.

Answers

Answer:

μ = 0.55

Explanation:

Given:

m = 43 kg

a = 0.79 m/s²

F pull = 265 N

_____________

μ - ? Friction coefficient

2 Newton's law:

m·a = Fpull  - μ·m·g

μ·m·g = Fpull - m·a

Friction coefficient:

μ = (Fpull - m·a) / (m·g)

μ = (265 - 43·0.79) / (43·9.8) ≈ 0.55

a paper airplane gliding down towards the ground will experience the force of air resistance pushing up. the weight of the paper airplane is 16 N down and the force of air resistance is 9 N up. find the net force

Answers

The net force acting on the airplane is 25N.

Forces acting on the paper airplane when it is in the air:

The forward force generated by the engine, propeller, or rotor is called thrust. It resists or defeats the drag force. It operates generally perpendicular to the longitudinal axis. However, as will be discussed later, this is not always the case.Drag is an airflow disruption generated by the wing, rotor, fuselage, and other projecting surfaces that causes a backward, decelerating force. Drag acts backward and perpendicular to the relative wind, opposing thrust.Weight is the total load carried by airplane, including the weight of the crew, fuel, and any cargo or baggage. Due to the influence of gravity, weight pulls the airplane downward.Lift—acts perpendicular to the flight path through the center of lift and opposes the weight's downward force. It is produced by the air's dynamic influence on the airfoil.

Given.

Weight of the paper airplane, F1 = 16N

The force of air resistance, F2 = 9N

Net force = F1 + F2

Net force = 25N

Thus, the net force acting on the airplane is 25N.

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why is ""friction"" (also called viscosity when it pertains to a gas) crucial for accretion disks?

Answers

Because Friction between gas orbiting at different speeds transfers angular momentum, also generating heat.

Friction is nothing but the opposing force acting on the device. In this case when accretion disks moves, it transfers angular momentum and and due to friction it also generates heat.

And as we know from conservations of energy that whatever heat is generated and angular momentum gets transferred, both will act as a negative parameter for a accretion disks.

That is the reason it is vey important to know and take care of the friction during designing or using of accretion disks.

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what is the effect on electrostatic force if distance increase 3 times

Answers

Here is your Answer:-

If the distance separating the objects is tripled, then what is the new force? Explanation: -The electrostatic force is inversely related to the square of the separation distance. So if d is three times larger, then F is nine times smaller – that is, one-ninth the original value.

Answer:

Explanation:

Given:

r₂ = 3·r₁

________

F₂ / F₁ - ?

According to Coulomb's law:

F₁ = k·q₁·q₂ / r₁²

F₂ = k·q₁·q₂ / r₂²

F₂ / F₁  = (r₁ / r₂)²

F₂ / F₁  = ( r₁ / (3·r₁)² = (1 / 3)² = 1 / 9

Strength will decrease by 9 times

a collision occurs between a 2.00 kg particle traveling with velocity and a 4.00 kg particle traveling with velocity . the collision connects the two particles. what then is their velocity in (a) unit-vector notation and as a (b) magnitude and (c) angle?

Answers

To find the answers learn collision and magnitude.

What is magnitude?

The most straightforward way to define magnitude is "distance or quantity." In either an absolute or relative sense, it displays the size or motion of an object. It serves as a way to convey the size or scope of something. The majority of the time, magnitude refers to a length or size.

What is collision?

Collision, also known as impact, is the sudden, violent coming together of two bodies in direct contact, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when coupled, or a falling object and a floor.

This is a completely inelastic collision , but Eq. 9−53 (V=m₁/m₁+m₂ V₁i)

is not easily applied since that equation is designed for use when the struck particle is initially stationary. To deal with this case (where particle 2 is already in motion), we return to the principle of momentum conservation:

m₁ V^→₁+m₂V^→₂=(m₁+m₂) V^→ ⇒  V^→ =2(4i-5j)+4(6i-2j)/2+4

(a) In unit -vector notation , then  V^→ =(2.67m/s)i+(-3.00m/s)j

(b) The magnitude of   V^→ is |V^→| =4.01m/s

(c) The direction of   V^→ is 48.4°c (measured clockwise, from the + x axis)

Therefore, unit -vector notation , then V^→ =(2.67m/s)i+(-3.00m/s)j, the magnitude of   V^→ is |V^→| =4.01m/s, the direction of   V^→ is 48.4°c (measured clockwise, from the + x axis)

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The Tesla Model S Electric vehicle can go from 0 to 60 mi/hr (26.8 m/s) in only 1.9 seconds! How far does it move from rest until it reaches 60 mi/hr? Round your answer to the nearest whole meter.

Answers

Answer:

The Tesla moves approx. 25 meters from rest before reaching 60 mi/hr

Explanation:

Given:

Initial velocity = 0 m/s

Final velocity = 26.8 m/s

Time = 1.9 seconds

Acceleration = change in velocity/time

[tex]a = \frac{26.8}{1.9}[/tex]

The equation to find displacement (Δx) with given starting and final velocity, time, and acceleration is:

[tex]x = x_{0} + v_{0}t + \frac{1}{2} at^{2}[/tex]

Starting position and initial velocity both equal 0, so

[tex]x = \frac{1}{2} at^{2}[/tex]

[tex]x=\frac{1}{2} (\frac{26.8}{1.9})(1.9)^{2}[/tex]

x = 25.46m

Rounded to the nearest whole number, x = 25m

a horizontal 2.0-kgkg rod is 2.0 mm long. an 7.0-kgkg block is suspended from its left end, and a 5.0-kgkg block is suspended from its right end. part a determine the magnitude of the single extra force necessary to keep the rod in mechanical equilibrium. express your answer with the appropriate units. ff

Answers

The magnitude of a single extra force necessary to keep the rod in its mechanical equilibrium is 20N in the same direction with the 5.0kg blocks' weight force.

A system is in the mechanical equilibrium when it is at rest and the resultant of the force working on the system is equal to zero (0) or no movement happen within the system.

Please take a look at the drawing below.

The existance of 2 blocks attached to each of the rod's ends are enable the rod to move in a circular form. Hence, we could conclude that both of the blocks are giving centripetal forces to the rod.

Centripetal force is the force that works in a system and make a system to move within the curved path. The direction of this force is always perpendicular to the system fixed center point.

On the case, the center point is the center of gravity of rod, where the weight force (W) working in the system. Assuming that the rod is a symetrical solid rod, hence the center point is exatcly at the middle of the rod.

Both of the blocks are giving weight forces to the system with their mass. However since they are differences on their mass, their weight forces are also working differently.

Both of the blocks are working to the system and moving the system into their respective direction, which are the opposite of each other.

Hence, we could conclude that we need to give extra force into one of the block's force direction to balance all the forces working in the system.

Because we want the system to be in its mechanical equilibrium, we have to use the First Law of Newton where the force resultant of the system must be equal to zero (0).

We could write the equation for this system:

∑F = 0

Fs1 - Fs2 + Fs3= 0

(W1 × 1) - (W2 × 1) + (F3 × 1) = 0

(7×10×1) - (5×10×1) + F3 =0

70 - 50 + F3 = 0

F3 = - 20N

Hence, we need to give an extra 20N force in the same direction with the 5.0kg blocks' weight force to make system reaches its mechanical equilibrium.

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A graph titled Position versus Time shows time in seconds on the x axis, numbered 0 to 5, and position in meters on the y axis, numbered 0 to 15. The graph is a straight line from the (0, 3) to (4, 15).
Based on the information presented in the graph, what is the velocity of the object?

Answers

Answer:

3 m/s

Explanation:

distance (rise) over time (run) gives speed, that is velocity

it can be found using the gradient (m) formula

m=(y2-y1)/(x2-x1)

m=(15-3)/(4-0) =12/4=3 m/s

Answer:

3 m/s

Explanation:

.....as the answer for your question is 3m/s ..

THANK YOU..


Sarah is building an electric motor whilst listening to the radio. She notices
that when she switches the motor on, the radio makes clicking noises. Using
knowledge about how radio waves are produced, describe why the radio
makes clicking noises.
Type your answer here....

Answers

The reason for the sound is the fact that there are other channels that are interfering with the particular channel that she was looking for.

Why does the radio make clicking noises?

We know that radio waves are part of the electromagnetic waves. These are waves that do not require any material medium for them to become propagated thus they are able to move from one place to another even in a vacuum. Radio waves are known to have a long wavelength thus they can travel a far distance.

Given what we have said, we know that a radio is a device that have been built so as to be able to receive the radio waves. However, there are a number of frequencies that we are looking at that could be received by the radio at the same time. This could be referred to by the use of the word co channel interference.

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HELP PLEASE!!! Match the correct term with the corresponding definition or description.

Answers

The image below provides the solution. To read the text, enlarge the jpeg.

Explain the difference between music and noise.

Answers

Music is a sound which produces a pleasing sensation while noise is an unwanted and unpleasant sound. Music is produced by musical instruments like piano, guitar, flute, etc. Noise is produced by horns of vehicles, crackers, machines, etc.

calculate the response of an undamped system with stiffness k and mass m to the excitation given in fig. 7, assuming the system is initially at rest.

Answers

The undamped natural frequency, the damping ratio and the damped natural frequency are 3.162 rad / s, 0.211 and 3.098 rad / s respectively.

ωn = √ ( k / m )

ζ = c / 2 √ k m

ωn = Undamped natural frequency

k = Stiffness

m = Mass

ζ = Damping ratio

c = Damping co-efficient

m = 150 kg

k = 1500 N / m

c = 200 kg / s

ωn = √ ( 1500 / 150 )

ωn = 3.162 rad / s

ζ = 200 / 2 √ ( 1500 * 150 )

ζ = 0.211

Since ζ < 1,  the system is underdamped and the solution will oscillate.

ωd = ωn √ ( 1 - ζ² )

ωd = Damped natural frequency

ωd = 3.162 √ ( 1 - 0.211² )

ωd = 3.162 √ 0.96

ωd = 3.162 * 0.98

ωd = 3.098 rad / s

Therefore,

Undamped natural frequency, ωn = 3.162 rad / sDamping ratio, ζ = 0.211Damped natural frequency, ωd = 3.098 rad / sThe system is underdampedThe solution will oscillate

The given question is incomplete. The complete question is:

A spring-mass-damper system has mass of 150 kg, stiffness of 1500 N/m and damping coefficient of 200 kg/s. Calculate the undamped natural frequency, the damping ratio and the damped natural frequency. Is the system overdamped, underdamped or critically damped? Does the solution oscillate?

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At which point is potential energy being transformed to kinetic energy

Answers

Point at which potential energy is being transformed to kinetic energy is point F.

When is potential energy converted to kinetic energy?

An object has potential energy when it is not in motion. Once a force has been applied, the potential energy changes to kinetic energy.

When an object is released from height, it is naturally pulled down towards the ground by the force of gravity. Object falls towards the ground as potential energy transforms into its kinetic energy.

Potential energy becomes kinetic when the object storing the potential energy starts to move. Since the potential energy is stored in the object, movement would release the energy.

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What is the density of a substance with a mass of 20. 0 g and a volume of 4. 0 ml?.

Answers

The density of a substance with a mass of 20. 0 g and a volume of 4. 0 ml is 5g/ml.

Density :

The degree to which matter is packed together is essentially measured by density.Its symbol is ρ.Density is commonly expressed in units of grams per cubic centimetre.

Density is calculated as:

Density = mass/volume

ρ = m/v

where,

ρ = density of the substance

m = mass of the substance

v = volume of the substance

ρ = m/v

ρ = 20.0/4.0

ρ = 5g/ml

so, density is 5g/ml.

The density of a substance with a mass of 20. 0 g and a volume of 4. 0 ml is 5g/ml.

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Consider a box resting on a horizontal surface. The box has a mass of 2.13 kg and the coefficient of static friction between the box and the surface is 0.151. Determine the force that must be applied down at a 37.8º angle to the horizontal to make the box start moving.

Answers

The force that must be applied down at an angle of 37.8° to the horizontal to make the box start moving is 3.99 N.

What is force?

Force is obtained by multiplying the mass of a body by its acceleration.

To calculate the force that must be applied to make the box start moving, we use the formula below.

Formula:

F = mgμ/cos∅......... Equation 1

Where:

F = Force applied to the boxm = Mass of the boxg = Acceleration due to gravityμ = Cofficient of static friction∅ = Angle

From the question,

Given:

m = 2.13 kgg = 9.8 m/sμ = 0.151∅ = 37.8°

Substitute these values into equation 1

F = (2.13×9.8×0.151)/(cos37.8°)F = 3.99 N

Hence, the force that must be applied to the box is 3.99 N.

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racing greyhounds are capable of rounding corners at very high speeds. a typical greyhound track has turns that are 45 m diameter semicircles. a greyhound can run around these turns at a constant speed of 12 m/s .what is its acceleration in units of g ?

Answers

Using the concepts of centripetal force, we got that  6.4m/sec² is the acceleration for  a greyhound who can run around these turns in the typical greyhound track  has turns that are 45 m diameter semicircles.

We are having some quantities:

Diameter of the semicircle, d = 45 m

Radius of the semicircle, r = 22.5 m      

Speed of greyhound, v = 12 m/s

The greyhound is moving under the action of centripetal acceleration. Its formula is given by :

a=(v²)/r

where v is the velocity of moving object and r the radius of the semicircle.

Putting the values, we get

=>a=[(12)×(12)]/22.5

=>a=[144/22.5]

=>a=6.4m/sec²

Hence, the racing greyhounds are capable of rounding corners at very high speeds. a typical greyhound track has turns that are 45 m diameter semicircles. a greyhound can run around these turns at a constant speed of 12 m/s, the acceleration in units of 6.4m/sec².

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Why can’t we see planetary transits from planets in our solar system other than Mercury and Venus?
A. Because only Mercury and Venus orbit closer to the Sun than we do.
B. Because no other planets are large enough to see from Earth.
C. We can see transits from all of the planets in our solar system.
D. Nobody knows; it’s a complete mystery.

Answers

Answer:

A. Because only Mercury and Venus orbit closer to the Sun than we do.

Explanation:

From the earth, the only planetary transits we can see are those of Mercury and Venus, because those are the only planets that can be between us and the sun.

Answer:

a) Because only Mercury and Venus orbit closer to the Sun than we do.

Explanation:

We can’t see planetary transits from planets in our solar system other than Mercury and Venus because, only Mercury and Venus orbit closer to the Sun than we do. Hence, the option (a) is correct.

A passenger on a ferris wheel moves in a vertical circle at constant speed. Are the forces on her balanced?.

Answers

In order to prevent the Ferris wheel from accelerate, the forces must be balanced. Newton's first law of motion states that unless an unbalanced force acts upon a body.

it will remain in its state of rest or uniform motion. The Ferris wheel moves at a consistent speed in a vertical circle, as stated in the question. Unbalanced force is what happens when two forces operating in opposition to one another on a body are not of the same size and magnitude and accelerate.

Keep in mind that the constant speed implies that the forces are in balance, as the Ferris wheel would accelerate under an unbalanced force.

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Why aren’t there solar and lunar eclipses every month?
A. Because clouds in Earth’s atmosphere block the Moon’s shadow.
B. Because of the gravitational effects of Jupiter on the Sun.
C. Because the Moon’s orbit is tilted with respect to Earth’s orbit.
D. There are, it’s just that we cannot detect all of them.

Answers

There solar and lunar eclipses aren't every month  because the Moon’s orbit is tilted with respect to Earth’s orbit.

What is solar eclipse?

When the moon passes between the sun and the Earth, a solar eclipse occurs. As a result, the moon creates a shadow on the Earth by preventing the sun's light from reaching its surface. This takes place in new moon. Up to five solar eclipses can be seen annually.

What is lunar eclipse?

When Earth passes between the sun and the moon, a lunar eclipse occurs. As a result, the Earth's shadow falls over the moon, preventing the moon from receiving light from the sun. It happens on a full moon day. Up to three lunar eclipses can be seen annually.

The plane of the Moon's orbit around the Earth is tilted by around 5.15° in relation to the plane of the Earth's orbit around the Sun. That's way,  there aren't solar and lunar eclipses every month.

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Give reason:why Goverment should promote mushroom farming.​

Answers

Answer:

Mushroom are healthy and they are good your body and energy and other very important health proteins and stuff but it shouldn't only focus on mushrooms because they won't help you survive for your whole life.

the left end of a spring is attached to a wall. when bob pulls on the right end with a 200 nn force, he stretches the spring by 20 cmcm. the same spring is then used for a tug-of-war between bob and carlos. each pulls on his end of the spring with a 200 nn force.

Answers

When a spring is only pulled by Bob with 200 N force, the spring stretches 20 cm. If the same spring is pulled by Bob and Carlos with 200 N forces each, the string will stretch 40 cm.

The elasticity is followed the Hooke's Law:

F = kx

Where:

F = force applied

k = spring constant

x = length of extension / compression

From the Hooke's Law, we know that the applied force is directly proportional to the change of length, or

F2 : F1 = x2 : x1

Parameters given in the problem:

F1 = 200 N  (Force applied by Bob)

x1 = 20 cm

F2 = 200 + 200 = 400 N (Forces applied aby Bob and Carlos)

Therefore,

400 : 200 = x2 : 20

x2 = 400 x 20 / 200 = 40 cm

Thus, when both Bob and Carlos pulls the spring, the spring will stretch 40 cm

Complete question:

The left end of a spring is attached to a wall. When Bob pulls on the right end with a 200 N force, he stretches the spring by 20 cm . The same spring is then used for a tug-of-war between Bob and Carlos. Each pulls on his end of the spring with a 200 N force.

How far does the spring stretch?

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An object is hung by two cables at an angle. Which of the following is ALWAYS true when it is at rest?

Your answer:

The tension force (FT) is equal to the weight (Fg) of the object


The weight (Fg) is equal to the sum of the tensions in both wires


The vertical tension force (FTy) is half the weight (Fg)


The weight is equal to the sum of the two vertical tension forces (FTy)

Answers

The weight or force due to gravity  (Fg) is equal to the sum of the tensions in both wires.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Frictional force allows the ball to stay in the hand while muscular force is employed to stop the motion of the ball during catching. Throughout this activity, the Earth's gravitational pull on the ball is constant.

The weight or force due to gravity  (Fg) is equal to the sum of the tensions in both wires.

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the impulse one ball receives is equal to the blank force on it from the other ball multiplied by the time during which the force is applied. by newton's third law the force that the rubber ball exerts on the steel ball is blank the force t

Answers

The impulse one ball receives is equal to average force on it from the other ball multiplied by the time during which the force is applied

The impulse one ball receives is equal to average force on it from the other ball multiplied by the time during which the force is applied. By newton's third law the force that the rubber ball exerts on the steel ball is equal to the force that steel ball exerts on rubber ball. So the rubber ball receives the same amount of impulse , although the directions of impulse are opposite.

Jx = Fx Δt

Jx = Impulse acting on x

Fx = Average force acting on x ( Answer 1 )

Δt = Period of time

Jrubber = Frubber * Δt

Jsteel = Fsteel * Δt

According to Newton's third law,

Frubber = - F steel ( Answer 2 )

Jrubber = - Fsteel * Δt

Jrubber = - Jsteel ( Answer 3 and 4 )

Therefore, the answers are,

AverageEqual toThe sameOpposite

The given question is incomplete. The complete question is:

Suppose a rubber ball collides head-on with a more massive steel ball traveling in the opposite direction with equal speed. Which ball, if either, receives the larger impulse?

The impulse one ball receives is equal to the ___ force on it from the other ball multiplied by the time during which the force is applied. By Newton's third law the force that the rubber ball exerts on the steel ball is ___ the force the steel ball exerts on the rubber ball So the rubber ball receives ___ amount of impulse, although the directions of the impulses are ___

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Students performed an investigation on how aluminum cans taken to a recycle center were able to be reused. They found out an aluminum can undergoes which type of change?.

Answers

Answer:

below

Explanation:

When it is melted , the can undergoes a phase change from a solid to liquid.

find the present value of ordinary annuity $3000 per semiannual period for 6 years at 11%/year compounded semiannually.

Answers

The present value of an ordinary annuity $3000  per semiannual period for 6 years at 11% interest rate is  $25,855.55

The present value of an ordinary annuity is given by:

P = PMT x [1 - (1 + r)⁻ⁿ] / r

Where:

P = present value

PMT = amount of annuity payment per period

r = interest rate per period

n = number of periods

Since it is semiannually compounded, the number of periods per year = 2. Therefore,

r = 11%/2 = 0.055

n = 2 x 6 years = 12

PMT = 3000

Hence,

P = 3000 x [1 - (1 + 0.055)⁻¹²] / 0.055

P =  25,855.55

Hence, the present value is  $25,855.55

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Choose the picture of how the Earth would move if you "turned off the gravity forces

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Answer:

I think the answer is d; as the object is revolving around the earth in a circular motion due to centripetal force provided by gravity and if you "turned off" the gravity then it would tend to continue away from the planet but in the same direction.

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