If you run around a circular track with a radius of 10m, what is the displacement after 3 full laps back to the start line?

Answers

Answer 1

Displacement will be zero.

What is displacement and how is it different from distance?

Displacement:

It is the shortest distance between an object's beginning position and ending position.The quantity is a vector.It may be zero, positive, or negative.Displacement may be greater than or equal to distance.

In the given question, we start from one point and finish at the same point around the circular track. Therefore there is no distance between the initial and final points because they are the same. That's why the displacement is zero.

Distance:

It is the actual path or distance that an object takes to go from its starting point to its finishing point.The quantity is a scalar one.It cannot be 0 or negative; it must be positive. Displacement and distance may be equal.

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Related Questions

What is the mass moment of inertia of a 20kg sphere with a radius of 0.2m about a point on the sphere's perimeter

Answers

Answer:

I = M R^2 is the moment of inertia about a point that is a distance R from the center of mass (uniform distributed mass).

The moment  of inertia about the center of a sphere is 2 / 5 M R^2.

By the parallel axis theorem the moment of inertia about a point on the rim of the sphere is  I = 2/5 M R^2 + M R^2 = 7/5 M R^2

I = 7/5 * 20 kg * .2^2 m = 1.12 kg m^2

What do you mean by focus in science

Answers

“a point at which rays of light, heat, or other radiation meet after being refracted or reflected.” Meaning multiple light rays or heat (and other forms of radiation) are all being refracted or reflecting to a certain point

A car travels around a curve. What can you say about the centripetal force if the velocity is tripled?

Group of answer choices

A) Nothing - there is no information on the mass of the car.

B) Nothing - there is no information on the radius of the curve.

C) The centripetal force will increase by a factor of nine

D) The centripetal force will increase by a factor of three.

Answers

Answer:

F = M a = M v^2 / R

If v is increased by three the force will be increased by nine,

C) is correct

The period of a pendulum depends on _____. Select all that apply. The period of a pendulum depends on _____. Select all that apply. its mass the string length the amplitude of the motion gravity the value of the pendulum constant

Answers

Answer:

Period is proportional to (L / g)^1/2

Only the length of the string and the force of gravity will affect the motion of a simple pendulum.

The time period of a pendulum depends on the length of pendulum, acceleration due to gravity and to some extends its amplitude also.

What is simple pendulum?

A simple pendulum is a suspended body with one of its end fixed on a support and it is free to swing back and forth. The equation for the time period of simple pendulum is written as:

[tex]\rm T = 2\pi \sqrt{ \frac{l}{g} }[/tex]

Hence, the factors which affects the time period of pendulum are length  and acceleration due to gravity g. This time period of the pendulum is the time taken to cover one complete oscillation.

Up to some extend the amplitude of the swing may affect the time period. However, mass has no effect on the period of a simple pendulum.

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When you "Rate," or analyze, the consequences of your decisions, HELP can assist you with which of the following?

Answers

When you "Rate," or analyze, the consequences of your decisions, HELP can assist an individual with: B. evaluating the consequences of his or her decisions.

What is the decision-making process?

The decision-making process refers to a cognitive process that involves obtaining information, analyzing them, and then evaluating alternatives, so as to enable the proper selection of an optimum solution (choice) to a particular problem.

Based on personal health skills, we can infer and logically deduce that HELP can assist an individual with evaluating the consequences of his or her decisions when he or she "Rate," or analyze, the consequences of your decisions.

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Complete Question:

When you "Rate," or analyze, the consequences of your decisions, HELP can assist you with which of the following?

A. identifying what is most important.

B. evaluating the consequences of decisions.

C. determining what decision needs to be made.

D. narrowing the possibilities and acting on the best one.

false In order to use the efficiency of a car engine in an optimal way, a maximum engine speed of .........RPM for shifting is recommended for gas engines

Answers

In order to use the efficiency of a car engine in an optimal way, a maximum engine speed of 2500 RPM for shifting is recommended for gas engines.

A car's fuel efficiency is determined by how well it converts the energy in its fuel into kinetic energy for movement.

Most of the time, it's advisable to maintain a speed below 2500 rpm for economic reasons.

Range of 2000-2500 rpm is the best for shifting as

1) It is the most favorable range for the engine due to economic reasons.

2) It saves fuel.

3) It also keeps the engine heavy.

After this range, the economy usually declines.

Even though moving gears doesn't significantly affect engine life due to technological developments, but shifting for gas engines is recommended at 2000-2500 rpm.

Hence, 2500 rpm is the maximum engine speed recommended for gas engines for shifting.

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A piano of mass 852 kg is lifted to a height of 3.5 m. How much gravitational potential energy is added to the piano? Acceleration due to gravity is g = 9.8

m/g2

Answers

Answer:

Gravitational Potential Energy = Mass*Gravity*Height.

GPE = 852 * 9.8 * 3.2

GPE = 26718.72 Newtons.

A car engine changes chemical energy into what types of energy? A. Mechanical and thermal B. Thermal and light C. Mechanical and nuclear D. Electromagnetic and mechanical A car engine changes chemical energy into what types of energy ? A. Mechanical and thermal B. Thermal and light C. Mechanical and nuclear D. Electromagnetic and mechanical​

Answers

Howdy,

B. Thermal and light.

Use the concepts on which maxwell’s equations are based to explain why a compass needle is deflected when the compass is brought near a wire that is carrying an electric current.

Answers

A conductor that is conducting current generates a magnetic field everywhere around it. This magnetic field exerts force on the compass's magnetic needle, causing the needle to deviate.

Definition of Maxwell's rule

A current-conducting conductor creates a magnetic field everywhere around it. The magnetic needle of the compass experiences force from this magnetic field, which causes the needle to veer.

Equation for deflection

We have so far established that the total flux of electric field out of a closed surface is just the total enclosed charge multiplied by 1/ε0, ∫→E⋅d→A=q/ε0. This is Maxwell's first equation. It represents completely covering the surface with a large number of tiny patches having areas d→A.

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You can, in an emergency, start a manual transmission car by putting it in neutral, letting the car roll down a hill to pick up speed, then putting it in gear and quickly letting out the clutch. If the car needs to be moving at 3.5 m/s for this to work, how high a hill do you need

Answers

Answer: 0.625 m

Explanation:

Given:

Final velocity of the car = 3.5 m/s

While the car rolls down the hill, there is a conversion of potential energy (PE)  to kinetic energy (KE). Therefore, applying the conversion of energy as,

[tex]$$Total energy at height $(\mathrm{h})=$ Total energy at bottom$$\begin{aligned}&K E+P E=K E^{\prime}+P E^{\prime} \\&0+m g h=\frac{1}{2} m v^{2}+O \\&m g h=\frac{1}{2} m v^{2}\end{aligned}$$[/tex]

Here, m denotes the mass of the car, g is the gravitational acceleration, having a value of 9.8 m/s^2.  And h is the height of the hill.

Solving for h,

[tex]\begin{aligned}&g h=\frac{l}{2} v^{2} \\&h=\frac{1}{2} \times \frac{v^{2}}{g} \\&h=\frac{1}{2} \times \frac{3.5^{2}}{9.8} \\&h=0.625 \mathrm{~m}\end{aligned}[/tex]

Therefore, the required height of hill is 0.625 m

The info below shows three kettles with their powers and the time they take to boil 500cm3 of water. If electricity costs 9p per unit, how much does it cost to boil 500cm3 of water using the 3kW kettle?

Kettle 1= 3mins =3kW
Kettle 2= 3.5mins= 2.2kW
Kettle 3=4.5mins=1.4kW

Answers

The cost of boiling 500 cm³ of water using the 3 KW Kettle is 1.35p

What is power?

This is defined as the rate in which energy is consumed. Electrical power is expressed mathematically as:

Power (P) = Energy (E) / time (t)

P = E / t

How to determine the energyPower (P) = 3 KWTime (t) = 3 mins = 3 / 60 = 0.05 hEnergy (E) =?

E = Pt

E = 3 × 0.05

E = 0.15 KWh

How to determine the costEnergy (E) = 0.15 KWhCost per unit = 9pCost =?

Cost = Energy × cost per unit

Cost = 0.15 × 9

Cost = 1.35p

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Two thin wires rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are +q and –q. The potential difference between the centres of the two rings is​

Answers

Answer:

Q/4πε0 [1/R - 1/√R2+d2]

Explanation:

Q/4πε0 [1/R - 1/√R2+d2] is the answer

explanation is attached.

toppr

Bring a negatively-charged strip near the neutral electroscope but do not touch the knob. What happens

Answers

Positive charges are gathered on the neutral electroscope near the negatively charged strip.

To find the answer , we need to know about the induction of charge.

What's the induction of charge?When an electrically charged object is kept close to an neutral conductor, induced charage is produced in the conductor. This method is induction of charge.The induced charges have opposite sign to that of the charged object. Why are the charges induced in the neutral conductor?A charged particle attracts another oppositely charged particle. Similarly the charged object attracts the opposite charges present in that neutral conductor. So the oppositely charged particles present in the conductor are gathered at the side of the charged object and produce induced charges.

Thus, we can conclude that the positive charges are gathered on the neutral electroscope near the negatively charged strip.

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A dentist using a dental drill brings it from rest to maximum operating speed of 387,000 rpm in 2.4 s. Assume that the drill accelerates at a constant rate during this time. (a) What is the angular acceleration of the drill in rev/s2

Answers

The angular acceleration of the drill is 2687.5 rev/s2

Given that operating speed of drill machine is 387000 rpm and the time given is 2.4s

We need to find the angular acceleration of the drill

Angular Acceleration is defined as the time rate of change of angular velocity.

The angular acceleration is also known as rotational acceleration.

It is a quantitative expression of the change in angular velocity per unit time.

The formula of angular acceleration is α =Δω/Δt

To find angular acceleration

α =Δω/Δt

Where Δω is the change in angular velocity

Δt is the change in time

Substituting the value  We get ,

  [tex]= \frac{387*10^3*1/60}{2.4}[/tex]

Therefore ,

α = 2687.5 rev/s2

Hence the angular acceleration is 2687.5 rev/s2

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calculate the volume of an object of mass 500g whose density is 70kgm-3

Answers

Answer:

Amount                              Unit

132.48935                    kilogram

132489.35                       gram

132489350                      milligram

0.13248935                             ton

292.08925642428        pound (lb)

662446.75                              carrat

2044623.1271428                        grain

7.9786897063466E+28 atomic mass unit

Suppose you are an engineer building a road across a mountain. From a prudential point of view, it would be easier and cheaper to build it through a family’s farm. This option would require compelling the family to move, which would be an extreme hardship for them. From a moral point of view, the family should be allowed to stay on their farm. Which view should take precedence?

Answers

Compensation may be provided, and a temporary residence provided, to the family so that they may make necessary adjustments to their living arrangements and other work-related matters. Even if it's not the nicest way to go about things, it's the most effective.

What is compensation due to damages?

Generally, Money given to a successful plaintiff in civil litigation is known as "compensatory damages." Damage awards are handed out by the civil justice system.

In conclusion, Engineers have a responsibility to find optimal solutions that satisfy the demands of the public in a manner that is both practical and beneficial to the progress of the country as a whole. In this case, forcing the farm family to relocate would be very difficult and upsetting for them, but it would be quite useful for the community as a whole if a road were to be constructed.

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A sphere of radius 6cm is moulded into a thin cylindrical wire of length 32cm. Calculate the radius of the
wire in SI Units

Answers

Answer:

4/3 pi R^3 = pi r^2 L     equating volume of sphere and wire

r = (4 R^3 / 3 * L)^1/2      solving for radius of wire

r = (4 * 6^3 / 3 * 32)^1/2

r = 9^1/2 cm = 3 cm = .03 meters

Please help :/
Two objects have the same center point of the circle, but are located at different positions away from the center point. Each object is moving with uniform circular motion. Which would describe the tangential speed of the objects?

A) both objects would have the same tangential speed
B) the object with the smaller radius has a faster tangential speed
C) the object with the larger radius has a faster tangential speed
D) both objects would have oscillating tangential speeds

Answers

C. The object with the larger radius has a faster tangential speed.

What is tangential speed?

Tangential speed is the linear component of the speed of any object which is moving along a circular path.

v = ωr

where;

ω is angular speedr is the radius of the circular path

If both object the same center point, they will have the same angular speed but different tangential speed due to their location from the center point.

Thus, the object with the larger radius has a faster tangential speed.

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An observer views a spectrum and notes two characteristics of the spectrum:
1) most of the colors of a continuous spectrum are present,
2) at certain wavelengths, light is missing such that several dark lines are seen in the spectrum.
Describe the objects that are causing this spectrum to be seen. Be sure to state the relative temperatures of the objects that are involved in creating this spectrum.

Answers

The spectrum seen is the absorption spectrum. The wavelengths corresponding to those of the material through which light is being passed are absorbed, which leads to the occurrence of several dark lines in the spectrum.

White light when the incident with the object caused it to absorb the wavelengths corresponding to its excitation energy. These are characteristics of a particular atom/molecule.

Hence using this those can be identified. The absorption of the external energy leads the atoms to go to an excited state, hence the temperature increases.

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a child is stationary on a swing. The child is given a push by a parent and the child starts swinging

Answers

Answer:

you havent given the full question

but im guessing momentum

momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity or the impetus gained by a moving object.

Explanation:

as the child is pushed, it gathers momentum as its weight allows it be pushed forward, and the velocity is the speed driven by the amount of force the parent pushes on the child whilst they are swinging. The momentum is the result of this action

the equation that links these factors together are

p = mv

p = momentum

m = mass

v = velocity

hope i got it right ._.

Which of the following is true about a theory?
A. It is almost always controversial among scientists.
B. It is the first step toward scientific knowledge
OC. It will be modified or replaced.
D. It is a guess about how something in nature happens.

Answers

Answer:

D. It is a guess about how something in nature happens.

Explanation:

Nature is not controlled by anyone else, so people have to guess in order to know if something happend in nature.

special metal hangers or stirrips called joist hangers are used when joist must be _____ the bottom of the grider or beam

Answers

Answer:

Special metal hangers or stirrups called joist hangers are used when joist must be flush with the bottom of the girder or beam.

Explanation:

A joist hanger also known as a beam hanger is a mechanical device which is used to fasten joists and rafters.The rafters are the carried members to beams and headers are the carrying members.

Thus, special metal hangers or stirrups called joist hangers are used when joist must be flush with the bottom of the girder or beam.

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An 8000-N car is moving at 12 m/s along a horizontal road. The driver applies the breaks and the car skids to a stop. How much kinetic energy is lost? Group of answer choices 4.8*104 J 4.8*106 J 5.8*105 J 5.9*104 J 1.2*105 J

Answers

58775.51 J kinetic energy is lost,

Energy lost = 0.5*mv²

= 0.5*8000/9.8 * 12*12

= 58775.51 J

To calculate the energy loss of a moving object, subtract the initial kinetic energy from the final kinetic energy, where the initial and final kinetic energies are calculated using the formula 1/2*M*V^2.

When energy is transformed from one form to another or moved from one area to any other, or from one device to another there's energy loss. This means whilst energy is converted to a different form, some of the entering energy is become an especially disordered form of energy, like heat.

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Acceleration of a particle moving along x axis is given
by a = x. At x = 0, v = 2 m/s. Find velocity as a
function of x.
(a) √√√x+2
(c) √√x +4
(b) √x² +2
2
(d) √x² +4

Answers

B. The velocity of the particle with respect to the acceleration is √x + 4.

What is velocity?

Velocity is the rate of change of displacement with time.

The velocity of the particle with respect to the acceleration of the particle is calculated as follows;

vf = v₀ + at

where;

vf is the final velocityv₀ is the initial velocitya is acceleration, assuming a = √x + 2t is time

vf(x) = 2 + (√x + 2)

vf(x) = √x + 2 + 2

vf(x) = √x + 4

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Which equation describes the sum of the two vectors plotted below?
A. r=x+ý
B. r = x + 4y
C. r= 2x 1 3y
D. r 4X+ ý

Answers

The equation which describes the sum of the two vectors plotted is x + 4y; option A.

What is a vector?

A vector is a quantity that has both magnitude and direction.

From the graph:

a = (-2,3)

b = (1,4)

Vector, OA = -2x + 3y

Vector, AB = 3x + y

Using the triangular law of the vector addition;

r = -2x + 3y + 3x + y

r = x + 4y

In conclusion, the triangular law of vector addition is useful in adding vectors.

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If a mineral contains only atoms of oxygen and a metal, it is most likely
O an oxide.
O a sulfate.
a phosphate.
a silicate.

Answers

An oxide

Oxide mineral are the minerals in which oxide anion () is bonded to one or more number of the metal ions.
Oxide minerals are naturally occurring compounds with structure based on the close-packed atoms of oxygen in which metal or other various ions occur in the interstices.

A 0.500 kg bullet is fired from a gun at 25.0 m/s, how much kinetic energy does it have?

Answers

Considering the definition of kinetic energy, the bullet has a kinetic energy of 156.25 J.

Kinetic energy

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and in a rest position, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its rest state by applying a force to it.

The kinetic energy is represented by the following expression:

Ec= ½ mv²

Where:

Ec is the kinetic energy, which is measured in Joules (J).m is the mass measured in kilograms (kg).v is the speed measured in meters over seconds (m/s).

Kinetic energy of a bullet

In this case, you know:

m= 0.500 kgv= 25 m/s

Replacing in the definition of kinetic energy:

Ec= ½ ×0.500 kg× (25 m/s)²

Solving:

Ec= 156.25 J

Finally, the bullet has a kinetic energy of 156.25 J.

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LSST stands for Long Space Standard Telescope.
True
Or False

Answers

think the answer is false

In the experiment you used objects with masses that were not necessarily known. Assume that it is determined that the mass of an object that produces a deformation of size 3, is 120 grams. What is the mass of an object that would produce 1 unit of deformation

Answers

Answer:

40 gm

Explanation:

size one   is     1/3 of size 3  

 so the mass is also 1/3

     1/3 * 120 gm = 40 gm

The speed of ultrasound in human body is 1540 m/s. A procedure is performed with a frequency of 2.57 MHz is used. To monitor the heart rate of a fetus, the maximum frequency shift is 100 Hz. The maximum speed of a vibrating heart is _____ cm/s.

Answers

2.49 cm/s is the maximum speed of vibrating heart.

Given,

Frequency of ultrasonic wave = 2.57 MHz = 2.57 ×[tex]10^{6}[/tex] Hz

Speed of ultrasound = 1540m/s

The maximum frequency shift = 100 Hz

Maximum speed of heart = ?

By using Doppler equation

[tex]f1 = f0(\frac{c + v}{c} )[/tex] …..(1)

[tex]f2 = f1 (\frac{c}{c - v} )[/tex] …..  (2)

From equation (1) & (2)

[tex]f2= f0(\frac{c+v}{c-v} )[/tex]

[tex]f2 = 2.57[/tex] ×[tex]10^{6} + 100 = 2570100[/tex] Hz

[tex]f0 = 2570000[/tex] Hz

c = 1540 m/s

So,

[tex]2570100 = 2570000(\frac{1540 + v}{1540 - v} )[/tex]

1.00003(1540-v) = 1540+v

1540.05 - 1.00003v = 1540 +v

2.00003v = 0.05

v= 0.0249 m/s

v= 2.49 ×[tex]10^{-2}[/tex] m/s

v= 2.49 cm/s

So, the maximum speed of vibrating heart is 2.49 cm/s

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[CASSIUS.] Coming from Sardis, on our formerWhat is the overall tone of this passage?ensignvTwo mighty eagles fell, and there they perched,Which words help to establish the tone?Gorging and feeding from our soldiers' hands;vWho to Philippi here consorted us.How do the words create the tone?This morning are they fled away and gone,And in their steads do ravens, crows, and kitesFly o'er our heads and downward look on us,As we were sickly prey. Their shadows seemcanopy most fatal, under whichOur army lies ready to give up the ghost.-The Tragedy of Julius Caesar,William ShakespeareIntroDone Three equivalent ratios are shown on the graph Based on the excerpt and the map, what makes the journey to Kain difficult?the Kais Seatravel through Shirazmountains and dry conditionsthe Dry Tree plains Find the equation of the line perpendicular to y = - 1/2 x 5 that passes through the point ( 2 , 7 ) . Write this line in slope-intercept form. Help me pleaseee!!! :( Which statement is a hypothesis? (Please help) Which sentence uses an apostrophe to create a contraction?They're ready for the challenge.I have not seen Trevor's missing hamster.The class could'nt wait for the field trip.Bryan saw John's new car. A researcher who wishes to study the effects of a prenatal breastfeeding education program on the length of time African-American inner-city women breastfeed infants learns that 70% of women in the target population are unmarried. To achieve stratified random sampling in a sample of 50 subjects, the researcher will: Based on this passage, what inference can you draw about the standard of living inQatar and Madagascar? 3. I____ the laughter from theconference room.A. hearB. hearsC. hearingD. is hearing A major limitation of the case study method is the inability toits findings to other, similar situations or cases.PLEASE HELP ITS AN EMERGENCY!!!!!! Which graph shows a system of equations with a solution at (2, -1)? Which of the following is NOT TRUE about life insurance applications? A The application may contain all the information that underwriting needs to approve the insured B The application is confidential communication between the producer and the insurer C Applications for life insurance are typically divided into two parts: General Information and Health History D The application more fully identifies the insured Which of the following vocabulary words best describes Halsey's attitude toward Leaphorn?O nocturnalO improbableO insolent Uninsured people are less likely to receive medical care and more likely to have poor health status. The cost of poor health among uninsured people was almost $125 billion in 2004 (Hadley & Holahan, 2004).The financial burden of uninsurance is also high for uninsured individuals; almost 50% of personal bankruptcy filings are due to medical expenses (Jacoby, et al., 2000). Uninsured individuals report more problems getting care, are diagnosed at later disease stages, and get less therapeutic care.National Healthcare Disparities Report, 2011 An owl lives in a wooded area and has various structures that enable it to survive. Comparethese structures with an animal that lives in a different environment. List the similarities anddifferences. What is the purpose of government? Select a quotation from a US leader on the subject of government. Then, write an argumentative essay that explains why you agree or disagree with the leaders views. In the conclusion to your essay, present your own views on the purpose of government based on the statement you evaluated and discussed. I NEED THE ROUGH DRAFT! Find any stationary points of the graph of [tex]y = 2x^2 + e^-x^4[/tex] Find the monthly interest payment in the situation described below. Assume that the monthly interest rate is 1 divided by 12 of the annual interest rate.You maintain an average balance of $675 on your credit card, which carries a 24% annual interest rate.The monthly interest payment is If Art has a 7/1 ARM, how long will the fixed interest rate be applied to his loan?