Dos pilotos suicidas, que están inicialmente a una distancia de 500 m entre sí, deciden chocar directamente de frente arrancando ambos desde el reposo. Ambos autos pueden desarrollar una aceleración máxima constante de 15 m/s2 . Si el piloto A arranca un segundo antes que el piloto B, encuentra: a) la posición donde los autos chocan, medida a partir de la posición donde arranca el piloto A, y b) la rapidez relativa de la colisión (la rapidez de B con respecto a A justo antes de la colisión, ó viceversa).

Answers

Answer 1

Answer:

a) El punto de colisión de los dos automóviles desde donde parte el conductor del automóvil A es de aproximadamente 293,14 metros.

b) La velocidad del automóvil A, en relación con la velocidad del automóvil B, es de 15 m / s

Explanation:

Los parámetros del movimiento son;

La distancia entre ambos coches = 500 m

La aceleración de ambos coches = 15 m / s²

La dirección de movimiento de ambos coches = uno hacia el otro

La hora de inicio del conductor A = Un segundo antes de la hora de inicio del conductor B

Por lo tanto, de la ecuación de movimiento, tenemos;

s = u · t + 1/2 · a · t²

v² = u² + 2 · a · s

Dónde;

u = La velocidad inicial de los autos = 0 (los autos parten del reposo)

t = El tiempo de movimiento de una aceleración dada

a = La aceleración = 15 m / s²

s = La distancia recorrida en el tiempo t

Por lo tanto, para el controlador A, tenemos;

s₁ = 0 × (t + 1) + 1/2 × 15 × (t + 1) ² = 7.5 × (t + 1) ²

s₁ = 7.5 × (t + 1) ²

Para el conductor B, tenemos;

s₂ = 0 × t + 1/2 × 15 × t² = 7.5 × t²

s₂ = 7,5 × t²

Dado que ambos chocan a lo largo del camino de 500 m, tenemos;

s₁ + s₂ = 500 metros

∴ 7.5 × (t + 1) ² + 7.5 × t² = 500

∵ s₁ + s₂ = 7.5 × (t + 1) ² + 7.5 × t²

Lo que da;

15 · t² + 15 · t + 7.5 = 500

15 · t² + 15 · t - 492,5 = 0

Resolver usando la aplicación en línea da; t = -6,25181 o t = 5,25181

Dado que t es un número natural, tenemos el valor correcto para t = 5.25181 segundos

a) Por tanto, el punto de colisión de los dos coches desde donde parte el conductor del coche A es;

s₁ = 7.5 × (t + 1) ² = 7.5 × (5.25181 + 1) ² ≈ 293.14 metros

El punto de colisión de los dos automóviles desde donde parte el conductor del automóvil A ≈ 293,14 metros

b) La semilla de A en el punto de colisión se da de la siguiente manera

Velocidad, v₁ = u + a × (t + 1) = 0 + 15 × (5.25181 + 1) ≈ 93.78

v₁ ≈ 93,78 m / s

La semilla de B en el punto de colisión también se da de la siguiente manera

Velocidad, v = u + a × (t) = 0 + 15 × 5.25181 ≈ 78.78

v₁ ≈ 78,78 m / s

Por lo tanto, la velocidad del automóvil A, en relación con la velocidad del automóvil B, [tex]v_{relative}[/tex] se da como sigue;

 = v₁ - v₂ = 93,78 m / s - 78,78 m / s = 15 m / s

la velocidad del automóvil A, relativa a la velocidad del automóvil B = 15 m/s.


Related Questions

A racehorse coming out of the gate accelerates from rest to a velocity of 12.0
m/s due west in 2.30 s. What is its average acceleration?
27.6 m/s^2
5.22 m/s^2
-5.22 m/s^2
-27.6 m/s^2
-0.19 m/s^2
O 0.19 m/s^2

Answers

Answer:

5.22 m/s²

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 0 m/s

Final velocity (v) = 12 m/s

Time (t) = 2.3 s

Acceleration (a) =.?

Acceleration is defined as the change of velocity with time. Mathematically, it is expressed as:

Acceleration (a) = final velocity (v) – initial velocity (u) / time (t)

a = (v – u) /t

With the above formula, we can obtain the acceleration of the racehorse as follow:

Initial velocity (u) = 0 m/s

Final velocity (v) = 12 m/s

Time (t) = 2.3 s

Acceleration (a) =.?

a = (v – u) /t

a = (12 – 0) / 2.3

a = 12 /2.3

a = 5.22 m/s²

Therefore, the average acceleration of the racehorse is 5.22 m/s²

velocity is derived physical quantity why​

Answers

Answer:

Velocity is “how much distance you cover in a particular time.” Space and time are fundamental quantities, and meters and seconds are their base units. Velocity is a combination of a space and a time, and therefore its units — “m/s” – are “derived” from the units for space and time

a car slows down from 50.0m/s to 20.0m/s in 60s what is the acceleration

Answers

Answer:

-2m/s^2

Explanation:

final velocity = 20m/s

initial velocity = 50 m/s

time taken = 60 s

20-50=30m/s

30/60 = -2

witch is the property of matter in witch a substance can transfer heat or electricity

Answers

Answer:

B. Conductivity.

Explanation:

Conductivity is the quantity of heat passing per second through a slab of unit cross-sectional area when the temperature gradient between the two faces is unity when put in heat.

How do streams flow?

Answers

When rain falls on the land, it either seeps into the ground or becomes runoff, which flows downhill into rivers and lakes.

Answer: When rain falls on the land, it either seeps into the ground or becomes runoff, which flows downhill into rivers and lakes, on its journey towards the seas. As small creeks flow downhill they merge to form larger streams and rivers. Rivers eventually end up flowing into the oceans.

Explanation:

Thermal energy is added to water. Which of the following describes the new state of matter?
A- An exothermic process has caused the phase change.
B- Kinetic energy of particles has decreased.
C- Bonds have been broken that hold particles in place.
D- Particles are attracted to each other and form bonds.

Answers

Answer:

Bonds have been broken that held particles in place

Explanation:

Boiling took place with use of thermal energy(heat energy), this will make particles to move faster and apart from each other bcos temperature is increased. Increase in temperature causes increase in kinetic energy

Theo is learning about sensation and perception. He is familiar with the five senses. He knows that the human sensory systems send information to the brain through the cranial nerves, but one sensory system sends information to the brain through the spinal nerves as well. Theo will recall which of our sensory systems can also send information to the brain through the spinal nerves? Select one: a. Taste b. Vision c. Hearing d. Touch

Answers

Answer:

Touch ( D )

Explanation:

The sense of touch can send information to the brain via the spinal cord and also in some cases the information sent by the sense of touch can as well be  processed via the spinal cord

The Touch sensory system is made up of sense receptors which carry the information to be sent to the Central nervous system which the brain and the spinal cord is an essential part

What is meant by the term total internal reflection? What two conditions must be met for total internal reflection to occur?

Answers

Answer:

Hello....

Explanation:

Total internal reflection, in physics, complete reflection of a ray of light within a medium such as water or glass from the surrounding surfaces back into the medium. The phenomenon occurs if the angle of incidence is greater than a certain limiting angle, called the critical angle.

The conditions required for total internal reflection (TIR) to occur are:

1)the light must be travelling from a more dense medium into a less dense medium (ie glass to air)

2)the angle of incidence must be greater than the critical angle.

HOPE IT HELPS YOU DEAR....

PLEASE MARK AS BRAINLIEST....

PLEASE FOLLOW ME...

What is the energy of a 478 kg object that is moving with a speed of 15 m/s

Answers

I’m sorry if I get this wrong but I’m pretty sure it’s 31.8

Someone please help me!

Answers

Answer:

a

Explanation:

An object with a mass of 5kg has a force of 20N applied to it. What is the resulting acceleration of the object?​

Answers

Answer:

The answer is 4 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

where

f is the force

m is the mass

From the question

f = 20 N

m = 5 kg

We have

[tex]a = \frac{20}{5} \\ [/tex]

We have the final answer as

4 m/s²

Hope this helps you

what is the best way to deal with hate people give you at times?

Answers

Answer:

Here are some tips.

Accept that you can't get on with everyone. ...

Try and put a positive spin on what they are saying. ...

Be aware of your own emotions. ...

Don't take it personally and get some space. ...

Express your feelings calmly and consider using a referee. ...

Pick your battles. ...

Don't be defensive.

Explanation:

lol i looked this up and copy pasted. U good bro?

1. A piece of iron has a volume of 11.6 cm and a mass of 63.5 9. What is its density?

75.1
51.9
5.74
0.18

Answers

it’s 5.74 if i’m not mistaken

Calculate the slope of the line on the graph.

Answers

Answer: 5

Explanation: rise over run. 25/5 = 5

Which bulb produces a wave with the highest frequency?

Answers

Violet - shortest wavelength, around 400-420 nanometers with highest frequency. They carry the most energy.

Answer:

UV Light I think, sorry if I'm wrong


If an object starts accelerating from rest at a rate of 35 m/s2, then how far does it travel during the first second?

Answers

using s= 1/2 a t^2
s = 1/2 x 35 x 1 = 17.5 m

What would you not find on an acceleration graph? *
O pie chart
O x axis
O time
O velocity

Answers

Pie Chart is the correct answer

If you added 5 x more mass into a wheelbarrow, how much greater would
your net force need to be to keep the acceleration the same? *

Answers

Answer:

5 x biger

Explanation:

becuze if it ia 5× more it nids 5×more force to be =

If a 3.1g ring is heated using 10.0 J, its temperature rises 19.7°C. Calculate
the specific heat capacity of the ring.

Answers

Answer:

Since 10 J / 4.19 J /cal = 2.39 cal     is the heat absorbed by the ring

Q = Cs * m * (T2 - T1)      heat absorbed by ring

Cs = 2.39 cal / (3.1 g * 19.7 deg C) = .039 cal / (gm deg C)

10 J / 4.19 J /cal = 2.39 cal     is the heat absorbed by the ring, Q = Cs * m * (T2 - T1)      heat absorbed by ring. Cs = 2.39 cal / (3.1 g * 19.7 deg C) = .039 cal / (gm deg C).

What is Specific heat capacity?

The amount of heat required to raise the temperature per unit mass is known as specific heat capacity. The heat in Joules required to increase the temperature of 1 gram of sample by 1 Kelvin or degree Celsius is typically stated.

Water is an excellent temperature regulator because it has a very high specific heat capacity.

The amount of heat in joules needed to raise 1 gram of a substance by 1 Kelvin is known as the specific heat capacity (symbol: c). It could also be written as J/kgK. Molar heat capacity, measured in J/mol K, and volumetric heat capacity, measured in J/m3 K, are comparable values.

Therefore, 10 J / 4.19 J /cal = 2.39 cal     is the heat absorbed by the ring, Q = Cs * m * (T2 - T1)      heat absorbed by ring. Cs = 2.39 cal / (3.1 g * 19.7 deg C) = .039 cal / (gm deg C).

To learn more about specific heat capacity, refer to the link:

https://brainly.com/question/29766819?

#SPJ6

A car starts from rest and accelerates for 2.9 s
with an acceleration of 2 m/s2.
How far does it travel?
Answer in units of m.

Answers

Answer:

[tex]a \: = \frac{v - u}{t} [/tex]

2 = v-0/2.9

2× 2.9 = v

v = 5.8 m/s

[tex]v \: = \frac{d}{t} [/tex]

5.8 = d/2.9

5.8×2.9 = d

d = 16.82 m

The helium that fills a balloon is an example of which state of matter? (1 point)

a
Solid

b
Liquid

c
Gas

d
Plasma

Answers

Gas pls mark the brainleiest

What is the design process (Engineering Design Process) 5 sentences

Answers

The design process is a approach taken to tackle projects into manageable sections.

difference between fundamental unit and derived unit​

Answers

Answer:

Fundamental units are the units of the fundamental physical quantities in SI system. They are not formed from other units. There are a total of seven fundamental units such as meter, kilogram, ampere, and second. Derived units are those units that are used for derived quantities.

For the past few days, the weather in Miami has been cool. When the temperature did warm up, the meteorologists noticed that it was also very windy. How could winds influence the temperature?

A. Winds carry energy in the form of heat around Earth.

B. Winds are caused by the energy of the sun.

C. Winds move because of differential heating.

D. Winds transfer energy in the form of heat from the air to the ground.

Answers

Winds transfer energy in the form heat from the air to the ground!

A cyclist travels 10,000 meters at a speed of 2.5 m/sec. How long will it take to complete the trip?

Answers

Explanation:

we know that

speed= distance ×time

so

time = distance/speed

time= 10000/2.5

time= 4000 seconds

Answer: 4000 seconds, or about 67 minutes. Explanation: Plug the numbers into the equation to solve the problem: (total distance)/(distance per second) = total seconds. 10,000m/2.5m = 4000 seconds.

How can Newton's third law describe the forces affecting a rocket as it
descends to Earth's surface?
A. The rocket can move downward because the forces acting on it
are unbalanced.
B. The maximum amount of force the rocket engines can provide
determines how much mass the rocket can lift.
C. The rocket pushes through the air with a force equal to that of
Earth's gravity pulling on the rocket.
D. The force the rocket exerts on the air is in the direction opposite to
the force that the air exerts on the rocket.

Answers

Answer:

its D

Explanation:

i took the quiz

The force the rocket exerts on the air is in the direction opposite to

the force that the air exerts on the rocket.

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.

Every action has an equal and opposite response, according to Newton's Third Law. Burning fuel in a rocket causes a push that propels the rocket forward from the front. As a result, the exhaust gas is pushed in the opposite direction and equally.

The force the rocket exerts on the air is in the direction opposite to

the force that the air exerts on the rocket.

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ2

As light from a star spreads out and weakens, do gaps form between the photons?

Answers

there are no gaps in space. the light from the star weekend as it travels, but it just reduces the strength and doesn’t produce gaps.

A supersaturated solution is one which A. has less solute dissolved than the solution should hold at that temperature. B. has more solvent dissolved than the solution should hold at that temperature. C. has more solute dissolved than the solution should hold at that temperature. D. has less solvent dissolved than the solution should hold at that temperature.

Answers

Answer:

Option C is correct

Explanation:

A supersaturated solution is one that has more solute dissolved than the solution should hold at that temperature.

Examples include carbonated water, sugar syrup, honey.

A solution of a chemical compound can be dissolved in heated water to prepare a supersaturated solution. A solution becomes supersaturated as its temperature is changed.

Answer:

Its A

Explanation:

Which of the following is an accurate description of synaptic pruning?

Answers

Answer options:

A) Some connections are lost because critical stages of development were missed.

B) Some connections are lost so others can be strengthened.

C) Some connections are lost because of experimentation with drugs or alcohol.

D) Some connections are lost so that children become less dependent and are less tied to their parents.

Answer:

B) Some connections are lost so others can be strengthened.

Explanation:

Synaptic pruning refers to a natural process that occurs in the brain between childhood and adulthood. Extra synaptic connections are eliminated in order to increase the efficiency of neuronal communications. It is thought to be the brain’s way of removing connections that are no longer needed.

Calculate the TOTAL mechanical energy of pendulum is it swings from his highest point to its lowest point. Pendulum mass is 4 kg. Use your equations for gravitational potential energy and kinetic energy to determine these values based on the data given below. Total energy is the sum of gravitational potential energy and kinetic energy. In this problem, round gravity to: g = 10 m/s^2.

Answers

Answer:

its should be 2.0 and 4.5 on it

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