Two trains each of length 100m are running on two parallel trucks .One train overtakes the other in 20s and one train crosses the other in 10s.Calculate the velocity of each train

Answers

Answer 1

Answer:

The velocity of one of the trains is 15 m/s

The velocity of the other train 5 m/s

Explanation:

The given parameters of the two trains and the motion of the trains are;

The length of each train, l = 100 m

The time it takes one train to overtake the other, Δt₁ = 20 s

The time it takes the one train to cross the other, Δt₂ = 10 s

Let 'v₁' represent the velocity of one of the trains, and let 'v₂' represent the velocity of the other train, we have;

When one train overtakes the other, the trains are moving in the same direction and the relative velocity of the overtaking train, v = v₁ - v₂

The distance the train travels when overtaking or crossing, d = 2 × l

∴ d = 2 × 100 m = 200 m

d = 200 m

Therefore, we get;

v = v₁ - v₂ = d/Δt₁ = (200 m)/(20 s) = 10 m/s

∴ v₁ - v₂ = 10 m/s                     [tex]{}[/tex]                    Equation (1)

When one train crosses the other train, the trains are moving in opposite directions on the different tracks, therefore, we have;

For the overtaking trains, v = v₁ + v₂ = d/Δt₂ = (200 m)/(10 s) = 20 m/s

∴ v₁ + v₂ = 20 m/s                              [tex]{}[/tex]          Equation (2)

Adding equation (1) to equation (2) gives;

v₁ - v₂ + v₁ + v₂ = 2·v₁ = 10 m/s + 20 m/s = 30 m/s

∴ v₁ = 30 m/s/2 = 15 m/s

The velocity of one of the trains, v₁ = 15 m/s

From equation (2), we  have;

v₁ + v₂ = 20 m/s

v₂ = 20 m/s - v₁

∴ v₂ = 20m/s - 15 m/s = 5 m/s

The velocity of the other train, v₂ = 5 m/s.


Related Questions

How does a recessive allele “show up” to be seen?

Answers

Answer:

Recessive alleles only show their effect if the individual has two copies of the allele.  

Explanation:

Dominant and Recessive Alleles If your allele pair is FF or Ff, you will have freckles. The only way you can escape a freckled face is to inherit the recessive gene from each parent, giving you the ff allele pair. In general, recessive alleles show up in your phenotype only if you have two of them.

The gravitational force is 2336 N for an object that is 4.15 x 10^6 m above the surface of the Earth? The radius of the Earth is 6.378 x 10^6 m. (Earth's mass is 5.97 x 10^24 kg) What is the mass of the object above earth?

Answers

Answer:

34kg

Explanation:

A coconut at rest suddenly explodes into two pieces. no net external force is applied to it.One piece with mass 2m lands a distance d to the right of the starting point. The second piece has mass m. We can ignore air resistance. where dow stew swcond piece land?

Answers

Answer:

To the Left

Explanation:

According to the law of reflection, what is the angle of incidence?

It is the angle the incident ray makes with a line drawn perpendicular to the viewer.

It is the angle the incident ray makes with a line drawn perpendicular to the reflecting surface.

It is the angle the incident ray makes with a line drawn parallel to the reflecting surface.

Answers

the angle of incidence is always equal to the angle of reflection,

Explanation:

Important Information. When light is reflected from a surface, the angle of incidence is always equal to the angle of reflection, where both angles are measured from the path of the light to the normal to the surface at the point at which light strikes the surface. This equality is known as the law of reflection.

Answer:

It is the angle the incident ray makes with a line drawn perpendicular to the reflecting surface

what are the four eaemts

Answers

Answer:

The Four Elements in Everyday Life.

First Element: Earth. The earth is full of a wide variety of rocks and minerals which provides the soil to grow vegetation and support life. The two ...

Second Element: Water.

Third Element: Air.

Fourth Element: Fire.

Hope this help you!:)

Two point charges of +20.0 μC and -8.00 μC are separated by a distance of 20.0 cm. What is the intensity of electric field E midway between these two charges?

Answers

Answer:

The intensity of the net electric field will:

[tex]E_{net}=E_{1}+E_{2}=2.52*10^{7}\: N/C[/tex]

Explanation:

Here we need first find the electric field due to the first charge at the midway point.

The electric field equation is given by:

[tex]|E_{1}|=k\frac{q_{1}}{d^{2}}[/tex]

Where:

k is Coulomb's constantq(1) is 20.00 μC or 20*10⁻⁶ Cd is the distance from q1 to the midpoint (d=10.0 cm)

So, we will have:

[tex]|E_{1}|=(9*10^{9})\frac{20*10^{-6}}{0.1^{2}}[/tex]

[tex]|E_{1}|=1.8*10^{7}\: N/C[/tex]

The direction of E1 is to the right of the midpoint.

Now, the second electric field is:

[tex]|E_{2}|=k\frac{q_{2}}{d^{2}}[/tex]

[tex]|E_{2}|=(9*10^{9})\frac{8*10^{-6}}{0.1^{2}}[/tex]

[tex]|E_{2}|=7.2*10^{6}\: N/C[/tex]

The direction of E2 is to the right of the midpoint because the second charge is negative.

Finally, the intensity of the net electric field will:

[tex]E_{net}=E_{1}+E_{2}=2.52*10^{7}\: N/C[/tex]

I hope it helps you!

The net electric field midway between these two charges is 2.52 x 10⁷ N/C.

Electric field strength

The electric field strength between two point charges is the force per unit charge.

Electric field strength due to +20.0 μC charge

[tex]E _1 = \frac{kq_1}{r^2} \\\\E_ 1 = \frac{9 \times 10^9 \times 20 \times 10^{-6}}{(0.1)^2} \\\\E _1 = 18 \times 10^6 \ N/C[/tex]

Electric field strength due to -8μC charge

[tex]E _2 = \frac{kq_2}{r^2} \\\\E_ 2 = \frac{9 \times 10^9 \times 8 \times 10^{-6}}{(0.1)^2} \\\\E _2 = 7.2 \times 10^6 \ N/C[/tex]

The net electric field midway between these two charges is calculated as follows;

[tex]E_{net} = 18 \times 10^6 \ + \ 7.2 \times 10^6\\\\E_{net} = 25.2 \times 10^6 \ N/C\\\\E_{net} = 2.52 \times 10^7 \ N/C[/tex]

Learn more about electric field here: https://brainly.com/question/14372859


Which is the correct Lewis structure for ethylene, CHA?
H
H
H H
1
CEC
1 1
H
H
C
C:
H
A.
H
B.
H
н
H
1
С
с
C.
С
1
н
H
H
C.
H
D
•HlclH|
H
I-Ö-I
E
ΟΑ. Α A
OB.
B
Ос. с
ODD
ОЕ Е E

Answers

Answer:

:c: H* : A: :C: H* :A: :C: H* :A:

A marble is dropped into a graduated cylinder that is filled with water. Use the words

from the word bank to describe the speed and forces. Words may be used more than

once.

Point A: Speed

force

A

Point B: Speed

force

ml

Point C: Speed

force

30

B

20

is constant

increases

decreases

balanced

unbalanced

C

Answers

Answer:

v_t = [tex]\frac{2 g \ ( \rho_b - \rho_l ) r^2 }{9 \ \eta }[/tex]

Explanation:

Let's describe the motion and forces on the marble when it falls into the graduated cylinder filled with water.

Initially, the marble in the air falls under the influence of its weight (gravity force), when it enters the water, a friction force appears that INCREASES with SPEED and opposes the movement, this force is called Stokes force.

             

              Fr = 6π R η v

where η is the viscosity of water

also because of this in a liquid it has an upward thrust, given by Archimedes' law, this thrust is CONSTANT

              B = ρ_l g V_l

in that case the volume of liquid(V_l)  is equal to the volume of the marble.

Constant force of gravity

               W = mg

using the concept of density

                ρ_body = m / V

                W = ρ_body g V_body

we apply Newton's second law

                Fr + B - W = ma

the friction force increases and the other two are constant, so acceleration decreases until reaching zero, at this point the forces are in BALANCE

                Fr + B - W = 0

and the speed remains constant, being called TERMINAL SPEED

                v_t = [tex]\frac{2 g \ ( \rho_b - \rho_l ) r^2 }{9 \ \eta }[/tex]

from this point on, the displacement is proportional to the time

PLEASE HELP THIS IS BIG. ITS 2ND GRADE WORK BTW. HELP FOR CROWN AND POINTS!!!!

What did Ben Franklin show with his famous kite experiment?
that lightning is electricity
how sounds could be recorded
that electromagnetic waves could be found and turned into sound energy
how to create a battery

Answers

Answer:

your answer is A

Explanation:

brainliest plzzzz

Answer:

c is the correct answer

which type of star cluster forms from tightly packed groups or older stars ?
binary
eclipse
globular
open

Answers

the answer is globular :)

Globular star clusters form from tightly packed groups and/or older ancient stars.

What are globular star clusters?

Globular star clusters can be defined as ancient stars packed in a spherical and/or symmetrical shape.

Globular star clusters represent the most common types of groups (i.e., clusters) of ancient stars.

These groups of stars (globular) are characterized to be densest in the center of the cluster.

In conclusion, globular star clusters form from tightly packed groups and/or older ancient stars.

Learn more about globular star clusters here:

https://brainly.com/question/21379923

The distance from the center of the lens to its principal focus is called the focal length.
O A. True
O B. False​

Answers

Answer:

true

Explanation:

Answer:

Explanation:

A. True

Three dogs scout sparky and dusty are playing with a teddy bear. Scout and sparky are pullung the teddy bear to the left

Answers

Answer:

To the left side.

Explanation:

The teddy bear will move towards the left side because more force is applied by scout and sparky than dusty. The reason for this movement of teddy bear  to the left is due to more force is applied by the two dogs present at the left side of the teddy bear while on the other hand, one dog is present at the right side of teddy bear which applied less force so that's why we can say that the teddy bear moves to the left side rather than to the right side.

A sled is at rest at the top of a slope 2 m high. The sled has a mass of 45 kg. What is the sled's potential energy?
(Formula: PE = mgh)

Answers

Answer:

PE = 882 J

Explanation:

Through the International System we know that the gravity of the earth is 9.8 m/s², so...

Data:

m = 45 kgg = 9.8 m/s²h = 2 mPE = ?

Formula:

[tex]\boxed{\bold{PE=m*g*h}}[/tex]

Replace and solve:

[tex]\boxed{\bold{PE=45\ kg*\ 9.8\frac{m}{s^{2}}*2\ m}}[/tex][tex]\boxed{\boxed{\bold{PE=882\ J}}}[/tex]

The potential energy of the sled is 882 Joules.

Greetings.

I really need help

John's mass is 55kg when he is standing on the edge of a diving
board 24m high. a. Find his mechanical energy.

What is it?

Answers

Answer:

E = 12.9 kJ

Explanation:

Given that,

Mass of John, m = 55 kg

It is standing on the edge of a diving board which is at a height of 24 m.

We need to find his mechanical energy. The mechanical energy of John is equal to its potential energy such that,

E = mgh

E = 55  kg × 9.8 m/s² × 24

E = 12936  J

or

E = 12.9 kJ

So, his mechanical energy is equal to 12.9 kJ.

que es el periodo de un pendulo

Answers

Answer:

what

Explanation:

Answer:

El periodo del péndulo simple, para oscilaciones de poca amplitud, viene determinado por la longitud del mismo y la gravedad.

Explanation:

No influye la masa del cuerpo que oscila ni la amplitud de la oscilación. Donde: T: Periodo del péndulo.

Speed of light in a medium with n > 1
is the same as in free space
is greater than in free space
is less than in free space
depends on the transparency of the medium

Answers

Answer:

C

Explanation:

Without thinking, the answer is C.

The problem is with D. Of course it is going to depend on the transparency. If the material is a rock, then the light won't go through, and n >>>1.  I don't think you are intended to think that way, but I sure wish D wasn't there. I'd answer C, but be prepared to see it come out as D.

Answer:

it and i quote you "is less than in free space

Explanation:

i cant explain

What is rising temperatures

Answers

Answer:

i don't know but have a good day

A mother has the genotype Bb for brother green eyes, the months did heterozygous hair, what is the genotype of the father ?

Answers

Assuming brown hair (B) color is completely dominant over blond hair (b), then the father's genotype must be bb.

consider the circuit. find the equivalent resistance

Answers

Answer: 18 5.0 012

Explanation:

Oil is used in industrial hydraulic systems, because
A.) It naturally plugs any leaks in the system.
B.) It can be vented to the atmosphere.
C.) It is environmentally safe.
D.) It does not compress.

Answers

D it is environmental safe

Oil is used in industrial hydraulic systems, because It is environmentally safe. Option C is correct.

What is hydraulic systems?

Hydraulic systems work and accomplish tasks by utilizing a pressured fluid. Another way to say it is that the pressurized fluid makes everything operate.

Because of the tremendous power of liquid fuel in hydraulics, hydraulics are often utilized in heavy machinery.

Oil is used in industrial hydraulic systems, because It is environmentally safe.

Hence,option C is correct.

To learn more about hydraulic systems, refer:

https://brainly.com/question/9439349

#SPJ2

How many valence electrons does the hydrogen and oxygen have in the following picture?

Answers

Answer:

can u make the picture less blurry pls

Explanation:

How do the nuclei of covalently bonded atoms help keep the bond together?

Neutral particles in the nucleus provide enough mass that the force of gravity holds the atoms together.
Neutral particles in the nucleus can become positive or negative in order to balance the charges.
Positive particles in the nucleus change into negative particles that enter electron shells.
Positive particles in the nucleus are attracted to shared electrons, so the atoms stay close together.

Answers

Answer: D.

Explanation:

Answer: The answer is D

Explanation: I got it right on my test

Tom used 75 N of force to push a box 3 meters across the floor. How much work did he do?
0.12 J
25 J
1
78J
225 J

Answers

Answer:

It must be 225 J.

Explanation:

According to

Work done = Force × distance travelled

                    =  75      × 3

                    = 225 J

This answer is taken so since no angles are stated in the question.

which of the following best describes the function of a resistor in an electrical circuit?

Answers

Answer:

It controls the amount of current.

Explanation:

A resistor helps control and maintain the circuit which is it's main function.

Which material is a conductor?
A. chalk
B. lead
C. leather
D. paper
E. rubber

Answers

B. Lead is a conductor....

4. When a key on piano is pressed, a sound is heard. What produces this sound?
A. the vibrating key of the piano
B.
The Vibrating String Of Piano
C. the finger pressing the piano key
D. the air molecules inside the piano

Answers

Answer:

D

Explanation:

since we press the key , air molecules ate presented and sound wave is formed what we hear.

Answer:

B

Explanation:

the vibrating string of piano

Of all the mutations, we can conclude that one mutation would MOST LIKELY contribute to a rapid rate of
extinction. That is

Answers

Answer:

A) blindness

Explanation:

RESPIRATION the exchange of gases between your body and your environment.
TRUE OR FALSE

Answers

true

Explanation:

because in physiology, respiration is the movement of oxygen from the outside environment to the cells within tissues, and the removal of carbon dioxide in the opposite direction.

The voltage in a battery is 9 volts. The resistance is 3 ohms. What is the current? USE CORRECT UNITS!

Answers

Answer: Lol “USE CORRECT UNITS!” I GOT YOU BABES: 9/3=3 current is 3 amperes.

Explanation:

An electric circuit consists of light bulb with resistance of 10.0 ohm is connected to a
voltage source. The source provides a current of 2.00 mA in the bulb. What is the power
of the light bulb?

Answers

Answer:

P=I²R

Explanation:

P=2*10^-3 square times 10

4 times ten raise to power minus 5

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