wo ships, one 200200 metres in length and the other 100100 metres in length, travel at constant but different speeds. When travelling in opposite directions, it takes 1010 seconds for them to completely pass each other. When travelling in the same direction, it takes 2525 seconds for them to completely pass each other. The speed of the faster ship, in metres per second, is

Answers

Answer 1

Answer:

The speed of the faster ship is 22.5 m/s

Explanation:

The length of the ships are;

Ship 1 = 200 m

Ship 2 = 100 m

The time it takes for the ships to completely cross each other when travelling in opposite directions = 10 seconds

The time it takes both ships to cross each other when travelling in the same direction = 25 seconds

Let x represent the speed of the first ship, ship 1, and y represent the speed of the second ship, ship, 2, we have;

(x + y) × 10 = 200 + 100 = 300

10·x + 10·y = 300...(1)

(x - y) × 20 = 200 + 100 = 300

20·x - 20·y = 300...(2)

Multiply equation (1) by 2, to get;

(x + y) × 10 × 2 = 300 × 2

20·x + 20·y = 600...(3)

Adding equation (1) to equation (3) gives;

20·x + 20·y + 20·x - 20·y = 600 + 300

40·x = 900

x = 900/40 = 22.5

x = 22.5

The speed of the first ship, ship 1 = x = 22.5 m/s

From equation (1), we have;

10·x + 10·y = 300

y = (300 - 10·x)/10 = (300 - 10×22.5)/10 = 7.5

y = 7.5

The speed of the second ship, ship 2 = y = 7.5 m/s

Therefore, the faster ship is ship 1 with a speed of 22.5 m/s


Related Questions

Why does the height of the second hill effect the ability of the coaster to go safely around the loop?

Answers

A heavy object has more friction than a lighter one. However some of the energy is changed into friction. Coaster designers know that friction plays a part in the ride. Therefore, they make each successive hill lower so that the coaster will be able to make it over each peak.

help asap i have no clue what i am doing LOL

Answers

Answer:

no3. is is the first bubble answer, no4. is the middle answer

Explanation:

A force of 10N is making an angle of 300 with the horizontal. Its horizontal components will be

Answers

Answer: 5N

Explanation:

Horizontal component is the force that is applied as a result of the diagonal application of force.

here in this case,

given diagonal force =10N.

angle= 30°

horizontal component is found using trigonometry..

so,

A vector of magnitude 10 N is provided.

It is at an angle of 30° to the + x axis.

To find:

The components along the x and y axis.

Calculation:

Along x axis:

F(x) = F cos(θ)

=> F(x) = 10 × cos(30)

=> F(x) = 10 (√3/2) = 5√3N

Along y axis:

F(y) = F sin(θ)

=> F(y) = 10 sin(30°)

=> F(y) = 10 × ½

=> F(y) = 5 N.

Additional information:

1. A vector is a quantity that can be defined with both magnitude and direction.

2. Since force is a vector, we are able to break it down into components along chosen axis.

difference between of echo and reverberation​

Answers

Answer:

A difference between of echo and reverberation​  is described below in details.

Explanation:

Here's a piece of immediate information: An echo is an individual consideration of a soundwave off a horizon exterior. Reverberation is the consideration of sound waves generated by the superposition of the before-mentioned echoes. ... A reverberation can happen when a sound wave is displayed off a nearby covering.

15 pointsss please help meeeeeeeeeee
The velocity of an object can be calculated as:
starting velocity + (_____________________ * delta-t)(2.5 Points)
(one option)
A. acceleration
B. displacement
C. instantaneous velocity
D. average velocity

Answers

Answer: D. average velocity. i'm not sure if this is right but i remember doing this last week

Explanation:

Two football players have the same momentum. One player with a mass of 100 kg is moving at a velocity of 4 m/s. If the second player is moving with a speed of 5.5 m/s, what must his mass be

Answers

Answer:

The mass of the second player is 72.73 kg

Explanation:

Given;

mass of the first player, m₁ = 100 kg

velocity of the first player, u₁ = 4 m/s

velocity of the second player, u₂ = 5.5 m/s

let the mass of the second player = m₂

Since they have equal momentum, the mass of the second player will be obtained by equating their momentum.

m₁u₂ = m₂u₂

100 x 4 = 5.5m₂

400 = 5.5m₂

m₂ = 400 / 5.5

m₂ = 72.73 kg

Therefore, the mass of the second player is 72.73 kg

if bananas are curved because they grow towards the sun ☀️so say if a was born towards the sun would i have been a curved baby or what

Answers

ಠ_ಠ Hey, hang on.. you might've made a discovery. Nobody has tested it so how do we know? ಠ_ಠ

Answer:

It's because of the sun! Bananas are curved so they can retrieve sunlight. Bananas go through a process called 'negative geotropism'. ... So, bananas do not grow directly towards the sun rays but grow upwards to break through the canopy.

R 1 = 4 Ω, R 2 = 4 Ω и R 3 = 6 Ω?

Answers

Answer:

2n answer of 6

place it at the place of ?mark

An object is in free fall. After 10 seconds calculate the distance fallen? *


A diver jumps off a 60 m cliff with an initial horizontal velocity of 3m/s. Find the time needed to reach water?

Answers

Answer:

9.81 × 10 = 98.1 meters

vertical displacement is s=1/2 at^2 + vt

initial vertical velocity is 0 so s=1/2 at^2

a in this instance is gravitational acceleration so 60m= 1/2 (9.81)t^2

solve for t, t = 3.497s. //I corrected this answer as just now I misread horizontal as vertical.

*For free fall,

Initial velocity (u) = 0

g = 9.8m/s²

time(t) = 10s

Using the second equation of free fall;

s = ut + 1/2gt²

where 's' is the distance fallen.

s = 0(10) + 1/2(9.8)(10)²

s = 1/2(9.8)(100)

s = 490m.

*Initial horizontal velocity (Ux) = 3m/s

Initial vertical velocity (Uy) = 0

since it did not start with any vertical velocity.

Using the second equation of vertical downward motion:

h = Uyt + 1/2gt²

where h is the height of the cliff = 60m.

g = 9.8m/s²

60 = 0(t) = 1/2 (9.8)(t²)

60 = 4.9t²

t = √(60/4.9) = 3.5s.

Help? anyone? plz?

What was the atmosphere most heated by?

radiation

conduction

wind

convection

Answers

Answer:

Explanation:

The answer is radiation.

what mass of lead has the same volume as 1600 of alcohol ( density of lead =11300kg\m³ and density of alcohol=790kg\m³)​

Answers

The mass of lead = 22,939 kg

Further explanation

Given

mass alcohol=1600 kg

The density of lead =11300kg\m³ and density of alcohol=790kg\m³

Required

mass of lead

Solution

volume of alcohol

[tex]\tt V=\dfrac{mass}{\rho}\\\\V=\dfrac{1600}{790}\\\\V=2.03~m^3[/tex]

the volume of lead=volume of alcohol=2.03 m, so the mass of lead :

[tex]\tt m=\rho\times V\\\\m=11300\times 2.03\\\\m=22,939~kg[/tex]

What is the effect of increasing velocity on EK? I need this ASAP and in CER paragraph form.

Answers

Answer:Because kinetic energy is proportional to the velocity squared, increases in velocity will have an exponentially greater effect on translational kinetic energy. Doubling the mass of an object will only double its kinetic energy, but doubling the velocity of the object will quadruple its velocity.

Explanation:

1. Which of the following air pollutants combines with haemoglobin in our blood and renders it incapable to
transport oxygen within our body?
a) Carbon dioxide
b) Carbon monoxide
c) Oxide of sulphur
d) CFCs​

Answers

B, Carbon monoxide is the answer :)

Pretend you are explain net force to someone much younger than you. Explain how to calculate net force and how the net force determines the object’s motion.​

Answers

Answer:

you can tell them it is the amount of "push" on an object then you can explain using a soccer ball being kicked or a cart being pushed

Explanation:

What's the frequency of a wave with a wavelength of 10 and velocity of 200m/s?

Answers

Answer:

[tex]\boxed {\boxed {\sf 20 \ Hz}}[/tex]

Explanation:

The frequency of a wave can be found using the following formula.

[tex]f=\frac{v}{\lambda}[/tex]

where f is the frequency, v is the velocity/wave speed, and λ is the wavelength.

The wavelength is 10 meters and the velocity is 200 meters per second.

1 m/s can also be written as 1 m*s^-1

Therefore:

[tex]v= 200 \ m*s^{-1} \\\lambda = 10 \ m[/tex]

Substitute the values into the formula.

[tex]f=\frac{200 \ m*s^{-1}}{10 \ m}[/tex]

Divide and note that the meters (m) will cancel each other out.

[tex]f=\frac{200 \ s^{-1}}{10 \ }[/tex]

[tex]f=20 \ s^{-1}[/tex]

1 s^-1 is equal to HertzTherefore, our answer of 20 s^-1 is equal to 20 Hz

[tex]f= 20 \ Hz[/tex]

The frequency of the wave is 20 Hertz

Why does it take more effort to make a bowling ball accelerate 25m/s^2 than to make a tennis ball accelerate 25m/s^2? Make sure to include witch law explains this.

Answers

Answer:

In explanation

Explanation:

This question can be explained by using Newton Second Law of motion:

[tex]F = ma[/tex]

where,

F = Force applied

m = mass of object

a = acceleration of object

We are given a constant acceleration of 25 m/s² in case of both bowling ball and tennis ball.

Therefore,

[tex]F = (25m/s^2) m\\[/tex]

It is clear from this equation that for constant acceleration, the force required for the object is directly proportional to the mass of the object.

Since, the mass of bowling ball is greater than the tennis ball. Therefore, bowling ball takes more effort than tennis ball to accelerate to 25 m/s²

Define Force
Check all that apply

Answers

Answer:

Push or pull

Explanation:

Dylan is set to receive a football kickoff. After being kicked, the ball goes up to a height of 55m before starting back down. How much time does he have before the ball comes back down?​

Answers

Answer:

                   

Explanation:

 

Answer:

There was no anwser

Explanation:

because dylan did not anwser

What is the chemical formula for sulfur trioxide? O SO3 O SIO3 8 O SO O SIO​

Answers

Sulfur trioxide/Formula

SO3

this is what i looked up and got

Can some one help Please im not good at sports!!!!

Answers

Answer:

I think its tennis but im not sure

Explanation:

This PE I need help real quick

Answers

Answer:

Muscular helps you move while Cardiovascular helps you breathe, not move. Hope this helps, I tried my best :)

Explanation:

Muscular endurance relates to how your body is able to move, your muscles.

Cardiovascular is how your body supplies blood and helps you breathe, (an organ in this system is heart)    :)

does anyone know the answers to these ?

Answers

A.........................

5. A cycle accelerates from rest at a constant acceleration of 0.4m/s/s for 20 seconds then
stops pedalling and slowed to standstill at constant deceleration over distance of 260m.
Calculate:
a. Distance travelled by cyclist in the first 20seconds
b. The speed of the cyclist at end of this time

Answers

Answer: oh my. I just had the answer in my head but its gone now

Explanation:

Which term is described as a wave that is not confined to the space along the medium?

tsunami

standing wave

traveling wave

breaking wave
(there will be more Q's about this :\ )

Answers

Answer: Traveling wave

Explanation:

A 2100 lb (1 kg=2.2 lbs) car is using 4500 N of traction in order to move with a constant
velocity of 67 mph (29.8 m/s). What is the acceleration of this 9300 N vehicle?

Answers

Answer:

[tex]a = 0\ m/s^2[/tex]

Explanation:

The acceleration of a body is defined as the change in velocity of an object, with respect to time. So, in order to produce and acceleration in any object, the velocity of that object must change. And, if the velocity of the object is not changing with respect to time, then the object is said to have a uniform motion. The acceleration of the object in such uniform motion is always zero. Because the change in velocity is zero.

[tex]acceleration = change in velocity/time\\acceleration = 0 / time\\acceleration = 0 m/s^2[/tex]

Since, the car in this case is moving with a constant speed. Therefore, its acceleration will also be zero.

a = 0 m/s²

Can someone please help me with my physics hw

Answers

Ight bet I’ll help ;)

Which of the following is NOT true of all the inner planets?
A
They are made of solid rock.
B
They are called gas giants.
C
They do not have rings.
D
They have impact craters.

Answers

Hi there! :)

[tex]\large\boxed{\text{B. They are called gas giants.}}[/tex]

In the solar system, we can categorize the planets as such:

Inner planets: Mercury, Venus, Earth, Mars

Outer planets: Jupiter, Saturn, Uranus, Neptune

The Inner planets are the only planets that consist of solid rock. They also do not have rings and have impact craters due to their early formation.

In comparison, all of the outer planets are primarily made up of gaseous material and contain rings.

Therefore, the correct choice is B.

what does this graph represent

Answers

This graph represents the relationship between v and t. It is shown that when t increases, v increases as well. So, these two values have direct proportional relationship.

Answer:

I think it represents the center of a right angle..?

In the circuit shown above, the current through the ammeter is 20 mA and the voltmeter indicates 1.0 V. What is the current through the 40 resistor?

A. 7.5mA
B. 10mA
C. 20mA
D. 40mA​

Answers

Answer:

20mA

Explanation:

because it is connected in series with the ammeter

The current through the 40Ω resistor in the given circuit is 20mA, which is explained below.

Current through the resistors:

The volate across resistor R is 1V, as indicated by the voltmeter.

Since the potential of the battery is 3V, according to Kirchoff's voltage law, the voltage drop across 20Ω resistors must be 1V each since they are indentical.

Let a total current I passes through 20Ω resistor as it is connected to the battery in series. From Ohm's law:

20Ω × I = 1V

I = 50mA

Now the current indicated by the ammeter is 20mA which splits according to the reistors of 15Ω and 30Ω which are connected in parallel. Then again the current adds up to 20mA when leaving the set of parallel resistors, through the 40Ω resistor.

So the current through the 40Ω resistor is 20mA

Learn more about Kirchoff's voltage law:

https://brainly.com/question/86531?referrer=searchResults

You paddle a canoe with a force of 325 N. You and the canoe have a
combined mass of 250 kg. What is the acceleration of the canoe?
A. 0.8 m/s2
B. 0.3 m/s2
C. 1.9 m/s2
D. 1.3 m/s2

Answers

D. You have to divide it!
The correct answer is D!
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