A car starts from rest at a stop sign. It accelerates at 4.0 m/s2 for 3 seconds, coasts for 2 s, and then slows down at a rate of 3.0 m/s2 for the next stop sign. How far apart are the stop signs?

Answers

Answer 1

You need to divide the problem into three parts:

a) accelerated motion
what we know: initial velocity vi = 0, time t = 3s, acceleration a = 40m/s²;
the formula to find the space is: s = vi + 1/2·a·t²
all the units of measurement are fine,
therefore: s = 0 + 1/2·4·9 = 18m

b) constant motion
we know t = 2s and that the velocity here is equal to the final velocity (vf) of part a), which we need to calculate:
vf = vi + a·t which brings vf = 0 + 4·3 = 12m/s;
we can know calculate the total space with the formula s = vf·t = 12·2 = 24m

c) decelerated motion
we know the acceleration a = -3m/s² (minus because the velocity is decresing) and the initial velocity which is equals to the velocity of part b), therefore vi = 12m/s
we need to calculate first the time taken to bring the car to stop, we can use the formula t = v/a = 12/3 = 4s
we can know calculate the space through the formula
s = vi·t + 1/2·a·t² = 12·4 + 1/2·(-3)·(4²) = 48 - 24 = 24m

We can now sum up the three spaces found to get the total distance between the stop signs:
s = sa + sb + sc = 18+24+24 = 66m

Related Questions

At which of the following temperature and pressure levels would a gas be most likely to follow the ideal gas law? A. 0 K and 100 Pa B. 273 K and 1 Pa C. 100 K and 273 Pa D. 273 K and 100 kPa

Answers

The Ideal Gas Law makes a few assumptions from the Kinetic-Molecular Theory. These assumptions make our work much easier but aren't true under all conditions. The assumptions are,

1) Particles of a gas have virtually no volume and are like single points.
2) Particles exhibit no attractions or repulsions between them.
3) Particles are in continuous, random motion.
4) Collisions between particles are elastic, meaning basically that when they collide, they don't lose any energy.
5) The average kinetic energy is the same for all gasses at a given temperature, regardless of the identity of the gas.

It's generally true that gasses are mostly empty space and their particles occupy very little volume. Gasses are usually far enough apart that they exhibit very little attractive or repulsive forces. When energetic, the gas particles are also in fairly continuous motion, and without other forces, the motion is basically random. Collisions absorb very little energy, and the average KE is pretty close.

Most of these assumptions are dependent on having gas particles very spread apart. When is that true? Think about the other gas laws to remember what properties are related to volume.

A gas with a low pressure and a high temperature will be spread out and therefore exhibit ideal properties.

So, in analyzing the four choices given, we look for low P and high T.

A is at absolute zero, which is pretty much impossible, and definitely does not describe a gas. We rule this out immediately.

B and D are at the same temperature (273 K, or 0 °C), but C is at 100 K, or -173 K. This is very cold, so we rule that out.

We move on to comparing the pressures of B and D. Remember, a low pressure means the particles are more spread out. B has P = 1 Pa, but D has 100 kPa. We need the same units to confirm. Based on our metric prefixes, we know that kPa is kilopascals, and is thus 1000 pascals. So, the pressure of D is five orders of magnitude greater! Thus, the answer is B.

The mass of a full bottle of cooking oil is 1.30 kg when half Is empty calculate mass of empty bottle

Answers

Mass of bottle + cooking oil = 1.3 kg
Mass of bottle + 1/2 cooking oil = 0.9 kg
Thus half cooking oil = 1.3 - 0.9
= 0.4 kg
Mass of cooking oil in a full bottle = 0.4 × 2
= 0.8 kg
Therefore the mass of the empty bottle
= 1.3 - 0.8
= 0.5 kg

Which of the following is defined as "the transfer of thermal energy"?

A. Latent heat
B. Specific heat capacity
C. Temperature
D. Heat

Answers

The answer for you question is D Heat

The answer, D (Heat), is defined as the transfer of thermal energy.

PLEASE HELP ASAP :|

In a complete sentence using all keywords below, describe how you can charge a balloon and have it stick to the wall?

Keywords: wool/felt/hair,, balloon, electrons, wall, negative charge, and positive charge.

Make sure to use all keywords correctly for 6 points.

Answers

Rub a balloon on a woolen fabric to pick up some electrons, to make the balloon negatively charged, and stick them to a wall, which would be positively charged to make them stick.

Opposites attract and when you stick a negatively charged objects to positively charged objects, they tend to stick together. When you pick up electrons, it increases the number of electrons which will make the object negatively charged.

Note: The first part of the answer is a single sentence. The problem says in a complete sentence, so just in case that you need only one sentence you can take the first part. If you can add in more than a sentence, you can put in more from the second paragraph.

A driver in front of you is signaling with his or her hand and arm pointing upward this driver wants to

Answers

Go straight. The man wants to go straight on the road.

Which wave interaction is shown by the diagram?

absorption
diffraction
reflection
refraction

Answers

That drawing crudely illustrates diffraction.

Explanation :

The given diagram shows the interaction of the wave. The process is diffraction. It occurs when a ray of light passes through the narrow opening or the obstacles.

The size of opening or obstacle should be comparable to the wavelength of light. After striking at the opening, a diffraction pattern forms which consists of dark, light or colored bands.

Hence, the correct option is (b) " diffraction".

does the wavelength of the sound increase, decrease, or stay the smae as the musician changes from the first sound to the second sound?

Answers

Decrease K k kk kk k k k

I think it stays the same, but it really depends whether you put more presure.so it can sound louder.
Hope this helps:)!
@SamSamySamantha

How does fission and fusion affect an atoms nucleus differently?
Answer in complete sentences and include hypothetical examples.

Answers

When a heavy nucleus breaks up into two or more fragments with the liberation of energy, the process is called fission.

When two light nuclei fuse together to form a comparatively heavy nucleus, the process is called fusion. Both processes are accompanied by release of energy.

The most common example of fission is the fission of Uranium nucleus, which absorbs a slow neutron and breaks into Barium, Krypton, a few neutrons and energy.

U(235)+neutron→Ba(139)+Kr(94)+3 neutrons+200 MeV

Each fission releases around 200 MeV of energy.

The fusion reaction is responsible for energy generated by stars.

Protons in the stars combine to form a Helium nucleus with the liberation of energy.

4 protons→Helium+2 positrons+ nuetirnos+ 26.7 MeV

Fusion reactions can happen only at very high temperatures, which is required ,so that the protons have enough kinetic energy to overcome their mutual electrostatic repulsion. The temperatures that can result in fusion are of the order 10^8 K is present in stars , hence stars generate energy by fusion.

However, such temperatures are difficult to maintain and control on Earth, and hence controlled fusion reaction is still not available commercially. Experiments are on , using large magnetic fields to contain the ions that undergo fusion, since no container can hold the nuclei while they undergo fusion.

Fusion is also called clean energy, since the byproducts of fusion are not radioactive, but many fission byproducts are generally radioactive.

two plane mirrors are inclined at 70 deg. a ray incident on on one mirror at angle theta, after reflection falls on second mirror and is reflected from there parallel to the first mirror. What is theta

Answers

theta = 50 degrees

Solution:
angle of incidence = reflection angle.
so,
angle of incidence = 90 - [180- 70 - (90-b) ]
= 70 - b
reflection angle = b+20.

b+20 = 70
b= 70-20
b=50 degrees

What property of a wave increases as the wave's energy increases? question 19 options: pitch frequency amplitude wavelength?

Answers

The wavelength is the length that it takes a wave to complete one cycle (measured between any two peaks or troughs that are next to each other).

More energetic light has a SHORTER wavelength, so that's not what we want.

But frequency is a measure of how long it takes for a wave to complete one cycle, or how many wavelengths pass in a certain time. We usually use one second, so the unit is [tex]s^{-1}=Hz[/tex].

Logically, shorter wavelength means that more waves pass in a second. (We deduce that frequency and wavelength are inversely proportional.)

So, more energy = shorter wavelength = greater frequency, so the answer is B.

I think the answer is...

B) Frequency

What term describes an energy resource that can be used up?

Answers

Answer:
non-renewable energy resources are the ones that can be used up

Explanation:
Energy resources can be classified into two categories:
1- non renewable resources: these are the energy resources that cannot renew themselves. They are the resources that are formed from sources that can be consumed and run out. All fossil fuels are considered non renewable resources
Examples of non renewable energy resources: coal, oil, gas, petroleum , ......

2- renewable resources: these are the energy resources that are always present and can easily be renewed. Therefore, they do not come to an end.
Examples of renewable resources: solar energy, wind energy,.....

Based on the above, the energy resource that can be used up is the non renewable energy resource.

Hope this helps :)

Answer:

Non-renewable resource

Explanation:

There are two types energy resources.

1. Renewable resource: The resource of energy which is present in abundant quantity and replenishes itself in nature.

For example: solar energy, wind energy etc.

2. Non-renewable- The resource of energy which is present in limited quantity and does it takes millions of years to replenish. It can be used up. For example: Coal, oil and gas.

what is the spring constant of a bungee cord that stretches an additional 28m when 300 n of force are applied

Answers

The magnitude of the force applied to the spring is equal to (Hook's law)
[tex]F=kx[/tex]
where k is the constant of the spring and x is the displacement of the spring with respect to its relaxed position.
In the exercise, the force applied is F=300 N while the displacement is x=28 m. Therefore the spring's constant is
[tex]k= \frac{F}{x}= \frac{300 N}{28 m}=10.7 N/m [/tex]

The chances of being involved in a fatal crash is higher at night then during the day

Answers

Indeed because some leave headlights off and ignore that fact since there are street lights around.

A very small object with mass 6.90 × 10^−9 kg and positive charge 8.30 × 10^−9 C is projected directly toward a very large insulating sheet of positive charge that has uniform surface charge density 5.90 x 10^-8 C/m^2. The object is initially 0.530 m from the sheet.

What initial speed must the object have in order for its closest distance of approach to the sheet to be 0.170 m ?,

Answers

Mass of the object m = 6.90 × 10^−9 kg Charge of the object Q = 8.30 × 10^−9 C Surface charge density = 5.90 x 10^-8 C/m^2 Distance d1 = 0.530 m, d2 = 0.170 m Kinetic energy KE = 1/2 mv^2 Work = F x d = electric field x q x d => E x 8.30 × 10^−9 x (0.530 - 0.170) Following the energy conversion principles, 1/2 x 6.90 × 10^−9 x v^2 = E x 8.30 × 10^−9 x (0.530 - 0.170) 3.45 x v^2 = 8.30 x 0.36 x E => 3.45v^2 = 3E calculating the electric field E = 5.90 x 10^-8 / ( 2 x 8.85 x 10^-12) = 3333 So 3.45v^2 = 3 x 3333 => v^2 = 9999 / 3.45 => v^2 = 2898 => v = 53.8 m/s Intial speed v = 53.8 m/s

5. __________ is a force acting through distance.
A.Power
B.Work
C.Friction
D.Acceleration

I think it's D

Answers

B. Work. Work is a force through a distance. The equation for work is W = F x d, where F is force and d is distance. Its units are kgxm^2/s^2. The SI unit for work is joule. Acceleration is not correct. Acceleration is how quickly the velocity changes and is not a force on its own.

The correct answer to the given question is 'B. Work,' which is the force acting through a distance, as represented by the equation W = Fd.

The answer to the question, "__________ is a force acting through distance," is 'B. Work.' When a force causes an object to move through a distance, work is done on the object. The equation for work is W = Fd, where W is work, d is the distance over which the force acts, and F is the force parallel to the direction of motion. It's important to understand that acceleration (D) is the rate of change of velocity and, while it is related to force by Newton's second law (F = ma), it is not work itself. Therefore, A. Power, C. Friction, and D. Acceleration are not the correct answers in this context.

How much time does it take to use 300 W of power to do 1800 J of work? Round your answer to the nearest whole number. The time is s.

Answers

Energy = power × time
1800 = 300 × time
time = 1800 ÷ 300 = 6 s

Hope it helped!

Answer:

It takes 6 seconds

Explanation:

Power is the rate of doing work. Power used or dissipated can be calculated as the relationship between the work done and the time it took to do it. That's why its units are also J/s.

Mathematically:

[tex]Power=\frac{Work}{time}[/tex]

In this case, we know about the Power and the work done, so we can calculate the time it took. Solving for time:

[tex]time=\frac{Work}{Power}[/tex]

Plugging in the values:

[tex]time=\frac{1800J}{300J/s}\\time=6s[/tex]

Zero gauge pressure corresponds on the absolute scale to

Answers

Absolute Pressure = Gage Pressure + Atmospheric Pressure

If Gage Pressure is zero, then...
Absolute Pressure = Atmospheric Pressure = 101,325 Pascals = 14.7 psi

What type of machine is a wire cutter pliers?

A.
simple machine

B.
compound machine,

Answers

Wire cutters are a compound machine, because there is more than one simple machine within them. There are two levels that are used as handles and two wedges that are used as blades. There is also another level in which takes its form as a rotating attachment point.

Answer:

took quiz other pearson right

Explanation:

In 1990 walter arfeuille of belgium lifted a 281.5-kg object through a distance of 17.1 cm using only his teeth. (a) how much work was done on the object by arfeuille in this lift, assuming the object was lifted at constant velocity?

Answers

For the law of conservation of energy, the work done by the teeth must be equal to the variation of mechanical energy of the object. However, there is no variation of the kinetic energy K of the object, because the velocity is constant, and so K is constant as well. So the work done is simply equal to the gravitational potential energy acquired by the object, which is equal to:
[tex]U=mg\Delta h[/tex]
where m=281.5 kg is the mass of the object, [tex]g=9.81 m/s^2[/tex] is the gravitational acceleration and [tex]\Delta h=17.1 cm=0.171 m[/tex] is the height at which the object has been lifted. Using these data, we find:
[tex]U=(281.5 kg)(9.81 m/s^2)(0.171 m)=472.2 J[/tex]
And as we said above, this coincides with the work done by the teeth.

Final answer:

To calculate the amount of work done on an object, we use the formula Work = Force x Distance. In this case, the force exerted by Walter was equal to the weight of the object due to gravity, and the distance was 17.1 cm. Using these values, we find that Walter did approximately 471.3 Joules of work.

Explanation:

The question is asking about the amount of work Walter Arfeuille did when lifting a 281.5-kg object using only his teeth. In physics, the formula to calculate work is given by Work = Force x Distance. Considering that the force of gravity on the object can be calculated using the formula Force = mass x gravity, in this case, Force = 281.5 kg x 9.8 m/s² = 2756.7 N. This is the force that Walter has to exert to lift the object against gravity. Next, we convert the distance of 17.1 cm to meters to get 0.171 m. Using the work formula, we get Work = 2756.7 N x 0.171 m = 471.2957 Joules approximately. So, Walter Arfeuille did approximately 471.3 Joules of work to lift the object.

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Point P and point charge Q are separated by a distance R. The electric field at point P has magnitude E. How could the magnitude of the electric field at point P be doubled to 2E?,

Answers

We know , E = kQ/r^2 where q = charge and r is separation between point and point charge. Now, At P, E= kQ/r^2 Since, Q can't be changed, we can do that by varying r 2E = 2kq/r^2 2E = kq/ (r/ sqrt2)^2 Hence, if we bring Q closer such that distance between P and Q becomes r/ sqrt 2, E will get doubled.

A wagon is accelerating down a hill. Which of the following statements are true?

A. As the wagon approaches the bottom of the hill, the potential energy decreases and the kinetic energy increases.

B. The kinetic energy decreases as the wagon comes towards the bottom of the hill.

C. As the wagon approaches the bottom of the hill, the potential energy and the kinetic energy both increase.

D. The thermal energy decreases as the wagon comes towards the bottom of the hill.,

Answers

A. As the wagon approaches the bottom of the hill, the potential energy decreases and the kinetic energy increases. Potential energy and kinetic energy are opposites. At the top of the hill the wagon has max potential energy and no kinetic energy. At the bottom of the hill the wagon has max kinetic energy and no potential energy. So as the wagon approaches the bottom of the hill potential energy decreases and kinetic energy increases.

Answer:

As the wagon approaches the bottom of the hill, the potential energy decreases and the kinetic energy increases.

Explanation:

There are two types of energy possessed in the wagon i.e. potential energy and the kinetic energy. As a wagon is accelerating down a hill, its potential energy decreases and the kinetic energy increases.

We know that the energy possessed due to its height above ground level is called its potential energy while the energy possessed due to its motion is called its kinetic energy.

So, the correct option is (A) " As the wagon approaches the bottom of the hill, the potential energy decreases and the kinetic energy increases".

If the diameter of the black marble is 3.0 cm, and by using the formula for volume, what is a good approximation of its volume? Record to the ones place.
______cm3
Determine the initial volume of water in the graduated cylinder. If you added the black marble to the graduated cylinder and it sinks, what final volume should the water level indicate? Record to the ones place.
______ML

Answers

Answer:

The answers are 14 and 124, respectively.

Explanation:

The proof for these answers is the image attached.

Answer:

it is 14 and 124 I have took the test.

Explanation:

help me plzzzz i will give u a medal
Which statement best describes how light waves travel in a uniform medium?

A.
in straight lines

B.
in extending circles

C.
in bent lines

D.
in shrinking ripples,

Answers

Option A. In straight lines. In a uniform medium, the light waves travel in a straight line through a vacuum. These waves vary in lengths through a vacuum consisting of periodic oscillations of electric and magnetic fields that cause the particles that traverse the lines in the vacuum.

The answer is in straight lines

Gloria pushes a full shopping cart with a force of 16 N. The cart has a mass of 19 kg. As Gloria pushed on the cart, she increased its velocity by 8.0 m/s. For how long did Gloria apply the force to the shopping cart?

Answers

Force on the cart = (cart's mass) x (cart's acceleration)

16 N = (19 kg) x (acceleration)

Acceleration of the cart = 16 N / 19 kg = 0.842 m/s²

How many seconds did it have to accelerate at the rate of 0.842 m/s²
in order to increase its speed by 8 m/s ?

(8 m/s) / (0.842 m/s²) = 9.5 seconds

A piece of metal will feel colder than a piece of wood at the same temperature. Why?

Answers

Metals in general, are good heat conductors

PART 2!!!! PLEASEEEE HELLLPPPP

Answers

I see three (3) question in the picture.
Here are the answers:

#1).
The total effective resistance of resistors in series is
the sum of the individuals.

(4 + 8 + 12) = 24 ohms.

Current = (voltage) / (resistance) = (24 V) / (24 ohms) = 1 Ampere.

#2).
To answer this question, we don't care what the
total effective resistance is.
The resistors are in parallel, so each one is connected
directly to the terminals of the battery, and each resistor
has 24 V across it.

Current through the 4-ohm resistor = (voltage) / (resistance)

= (24 V) / (4 ohms)

= 6 Amperes.

#3).
In a series circuit, the total effective resistance is
the sum of the individual resistors, and the current
is (battery voltage) / (total effective resistance).

If pone resistor is replaced with a resistor of lower resistance,
then the sum of the individuals is less, and the current in the
series circuit increases (if the battery can handle it).

The two balls are an "action-reaction" pair. Ball 2 had a reaction to the action of ball 1, but ball 1 also had a reaction to ball 2. Explain how each ball moved after the collision in terms of the forces the balls exerted on each other.

Answers

Newton’s first law I guess

The specific heat of gold is 0.126 J/g°C. What mass of gold would change its temperature from 25.0 °C to 60.0 °C with the addition of 2825 J of heat energy? a 570 g b 641 g c 540 g d 610 g

Answers

The amount of heat energy needed to increase the temperature of a substance by [tex]\Delta T[/tex] is given by:
[tex]Q=m C_s \Delta T[/tex]
where m is the mass of the substance, Cs is its specific heat capacity and [tex]\Delta T[/tex] is the increase in temperature of the substance.

In this problem, we have a certain mass m of gold, with specific heat capacity [tex]C_s=0.126 J/g^{\circ}C[/tex], to which we add Q=2825 J of energy. Its temperature increases by [tex]\Delta T=60-25=35 ^{\circ}C[/tex]. Therefore, if we re-arrange the previous equation, we can find the mass of the block of gold:
[tex]m= \frac{Q}{C_s \Delta T} = \frac{2825J}{0.126\cdot 35}} =641 g[/tex]
So, the correct answer is B.

Answer:

The correct answer is option B, 641 g

Explanation:

Particle q₁ has a charge of 2.7 μC and a velocity of 773 m/s. If it experiences a magnetic force of 5.75 × 10⁻³ N, what is the strength of the magnetic field?
A. 0.36 T
B. 1.6 T
C. 2.8 T

In the same magnetic field, particle q₂ has a charge of 42.0 μC and a velocity of 1.21 × 10³ m/s. What is the magnitude of the magnetic force exerted on particle 2?
A. 0.042 N
B. 0.12 N
C. 0.14 N

Answers

The intensity of the magnetic force F experienced by a charge q moving with speed v in a magnetic field of intensity B is equal to
[tex]F=qvB \sin \theta[/tex]
where [tex]\theta[/tex] is the angle between the directions of v and B.

1) Re-arranging the previous formula, we can calculate the value of the magnetic field intensity. The charge is [tex]q=2.7 \mu C=2.7 \cdot 10^{-6}C[/tex]. In this case, v and B are perpendicular, so [tex]\theta=90^{\circ}[/tex], therefore we have:
[tex]B= \frac{F}{qv \sin \theta} = \frac{5.75 \cdot 10^{-3}N}{(2.7 \cdot 10^{-6}C)(773m/s)\sin 90^{\circ}}=2.8 T [/tex]

2) In this second case, the angle between v and B is [tex]\theta=55^{\circ}[/tex]. The charge is now [tex]q=42.0 \mu C=42.0 \cdot 10^{-6}C[/tex], and the magnetic field is the one we found in the previous part, B=2.8 T, so we can find the intensity of the force experienced by this second charge:
[tex]F=qvB \sin \theta=(42\cdot 10^{-6}C)(1.21 \cdot 10^3 m/s)(2.8 T)(\sin 55^{\circ})=0.12 N[/tex]

Answer:

1. 2.8

2. 0.12

Explanation:

What kind of energy involves the flow of positive charges?

A. thermal
B. radiant
C. electrical
D. nuclear

Answers

Electrical would be the energy that involves the flow of positive charges.

Electrical energy involves the flow of positive charges. Option C is correct.

What is the charge?

When the matter is put in an electromagnetic field, it has an electric charge, which causes it to experience a force.

Similar charges repel each other, whereas dissimilar charges attract each other. The term "neutral" refers to an item that has no net charge.

The pace at which electrons travel through a conductor is known as electric current. The ampere is the SI unit for electric current.

Electrons are tiny particles that reside within a substance's molecular structure.

Hence, option C is correct.

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