suppose a boat moves at 16.4 m/s relative to the water. if the boat is in a river with the current directed east at 2.30 m/s, what is the boat's speed relative to the ground when it is heading east, with the current, and west, against the current? (enter your answers in m/s.)

Answers

Answer 1

The boat's speed relative to the ground when it is heading east with the current is 18.7 m/s and west against the current is -14.1 m/s.

In the first case,

The velocity of the boat concerning water= 16.4 m/s

The velocity of the water concerning ground= 2.3 m/s

By using the formula of relative velocity:

V(b, g)= V(b, w) + V(w, g)

V(b, g)= 16.4i + 2.3i m/s

V(b, g)= 18.7i m/s

Hence, the magnitude of the velocity of the boat concerning the ground is 18.7 m/s along the current.

In the second case,

The velocity of the boat concerning water is -16.4 m/s

The velocity of the water concerning the ground is 2.3 m/s

By using the formula for relative velocity:

V(b, g)= V(b, w) + V(w, g)

V(b, g)= -16.4i + 2.3i

V(b, g)= -14.1i m/s

Hence, the magnitude of the velocity of the boat concerning the ground is -14.1 m/s against the current.

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Related Questions

3.
- The north and south poles of a
solenoid change with
A the type of material in the core
B the number of loops in the coil
C the tightness of loops in the coil
D the direction of the current

Answers

"The direction of the current."

A solenoid's north and south poles are determined by two variables. two factors: the winding direction and the direction in which the stream flows (clockwise or counter-clockwise). The positive pole of the power source (such as a battery) should be determined first, followed by the end of the solenoid that will be connected to it.

Now, determine which way the winding is going by peering down the solenoid tube. The south pole is present if the positive wire is rotated clockwise, and the north pole is present if it is rotated counterclockwise. In conclusion, the magnetic south pole is always in reference to the positive wire clockwise.

The magnet's poles will be created as a result of current flowing through the solenoid, and the clock face rule in a solenoid is used to predict their positions. According to the rule, the south pole will be formed if you gaze through a solenoid at a location where the current runs in a clockwise direction. On the other hand, the north pole will be visible if viewed from the side where the current is flowing counterclockwise.

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Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples, the gravitational force between them will change by a factor of what?.

Answers

The gravitational force between them will change by a factor 1/9.

We need to know about gravitational force to solve this problem. The gravitational force is the force caused by two masses objects. The magnitude of gravitational force can be determined as

F = G.m1.m2 / R²

where F is the gravitational force, G is the gravitational constant (6.674 × 10¯¹¹ Nm²/kg²), m1 and m2 are the mass of the object and R is the radius.

From the question above, we know that

R2 = 3R1

By substituting the following parameters, we get

F2/F1 = G.m1.m2 / R2² / G.m1.m2 / R1²

F2/F1 = G.m1.m2 / (3R1)² / G.m1.m2 / R1²

F2/F1 = 1/9

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When a plane descends from its cruising height to land on a runway, 78 400 000J of gravitational potential energy is transferred. If the mass of the plane is 40 000 kg, what was the cruising altitude of the plane before its descent?

Answers

The cruising altitude of the plane of mass 40000 kg before its descent is 196 m

U = m g h

U = Gravitational potential energy

m = Mass

g = Acceleration due to gravity

h = Vertical height

U = 78400000 J

m = 40000 kg

g = 10 m / s²

h = U / m g

h = 78400000 / 40000 * 10

h = 196 m

Gravitational potential energy is a type of energy related to gravity. It is energy acquired by an object due to its change in position in the presence of gravitational field.

Therefore, the cruising altitude of the plane before its descent is 196 m

 

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Would is divide or subtract or add or multiply

Answers

Answer:

I think it would be multiplied or added.

After looking at sound waves in this way, why do you think people prefer to view sound waves transverse waves rather than
longitudinal?

Answers

Only surface waves and shear waves, which require a solid for propagation, are transverse waves. Solids also support longitudinal waves. Fluids like air and water can only support longitudinal waves.That's why people prefer to view sound waves transverse waves rather than longitudinal.

a transformer has 1,400 turns in the primary coil and 100 turns in the secondary coil. if the primary coil is connected to a 120 v outlet and draw 0.04 a, what is the current of the secondary coil?

Answers

0.56 A is the current of the secondary coil.

transformer is the device that transfer electric energy from one AC circuit to another.

we know that ;

I ∝ 1/n;

where I IS CURRENT and n is NUMBER OF TURNS.

(I) secondary = X A

(n) secondary = 100

(I)  primary  = 0.04 A

(n)  primary  = 1400

USING THIS-----> I ∝ 1/n;

=>

0.04 A/X A =100/1400

=>X=0.56 A

as the current in the transformer is inversely proportional to the number of turns so 0.56 A is the current in the secondary coil.

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TRUE or FALSE- The three categories that
American Imperialism sought to enhance were
political, military, and economic.
TRUE
FALSE
1

Answers

It is a true statement that the three categories that American Imperialism sought to enhance were political, military, and economic.

What is imperialism?

The term imperialism has to do with a situation in which a country that tends to be more powerful continues to control a smaller country owing to the depends of the smaller country on the larger country for aid even though it is fully independent.

We can see that imperialism continues around the world especially in the developing and the less developed countries and this has continued to be an object of intense debate in many quarters.

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when a metal is exposed to 75.9 nm ultraviolet radiation, it emits an electron with kinetic energy 7.60 ev. what is the threshold frequency for this metal? (1.000 ev

Answers

The threshold frequency for this metal is, based on its photoelectric effect, [tex]2.11x10^{15} Hz[/tex].

The threshold frequency of the metal is the frequency of electromagnetic radiation that would cause its kinetic energy to be equal to 0. Using the photoelectric effect, the threshold energy can be calculated from the difference between the photon energy invested and the electron's kinetic energy, because the excess energy invested is transformed into kinetic energy. With that in mind, the energy of the photon is:

E = hc/λ = hν
where h is Planck's constant, c is the speed of light, λ is the wavelength of the photon and ν is the frequency of the photon.

[tex]E = 6.626x10^{-34}Js * 3x10^{8}m/s / 75.9x10^{-9}m = 2.62x10^{-18} J[/tex]

Because 1 eV is equal to [tex]1.602x10^{-19}[/tex] J, the kinetic energy of the electron is:

[tex]7.60 x 1.602x10^{-19}J = 12.1752x10^{-19}J = 1.22x10^{-18} J[/tex]

The threshold energy is:

[tex]2.62x10^{-18}J-1.22x10^{-18}J = 1.40x10^{-18}J[/tex]

Now, because E = hν, then ν = E/h, so the threshold frequency will be:

[tex]1.40x10^{-18} J/6.626x10^{-34}Js = 2.11x10^{15}Hz[/tex]

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The most dangerous particles in polluted air are those with diameters less than because they can penetrate deeply into the lungs. a 15-cm-tall closed container holds a sample of polluted air containing many spherical particles with a diameter of and a mass of . how long does it take for all of the particles to settle to the bottom of the container?

Answers

The time  taken for all of the particles to settle to the bottom of the container is 0.18 seconds.

What is time of motion?

The time of motion of an object is the time taken for the object to travel from its initial position to final position.

Mathematically, the formula for calculating the time of motion of an object is given by;

h = vt + ¹/₂gt²

where;

h is the height of fall of the objectv is the initial vertical velocity of the objectt is time of motion of the objectg is acceleration due to gravity

For, this given question, we have the following parameters;

height of fall of the particles, h = 15 cm = 0.15 minitial vertical velocity of the particle, v = 0acceleration due to gravity, g = 9.8 m/s²

h = ¹/₂gt²

2h = gt²

t² = 2h/g

t = √(2h/g)

t = √(2 x 0.15 / 9.8)

t = 0.18 s

Thus, we can conclude that, since the height of fall of the particle is small, it will take the particle short time to fall.

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a 10-ft beam, weighing 1360 lb, is to be moved to the left onto the platform. a horizontal force p is applied to the dolly, which is mounted on frictionless wheels. the coefficients of friction between all surfaces are μs

Answers

The resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. The formula fr = Fr/N serves as a representation of it.

In terms of math, μ is equal to F/N, where F stands for frictional force and N for normal force. The coefficient of friction has no dimensions because both F and N are measured in units of force (such as newtons or pounds).

The static friction coefficient and the kinetic friction coefficient are the two different types of friction coefficients. While the latter is frequently referred to as the dynamic or sliding friction coefficient, the former is sometimes known as the starting friction coefficient.

A force that holds an object at rest is called static friction. When an object reaches its maximum size, it begins to move. Static friction has an identical magnitude in the opposite direction to any little force applied to an object. If the force is increased, eventually the object will begin to move after the maximum static friction value is reached.

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person on a cruise ship is doing laps on the promenade deck. On one portion of the track the person is moving north with a speed of 3.9 ms relative to the ship. The ship moves east with a speed of 12 ms relative to the water.

Answers

The resultant speed of the person on the cruise ship is 12.62 m/s.

What is resultant speed?

The resultant speed of an object is the single speed which can effectively represent two or more speed of the object.

The magnitude of the resultant speed of the person on a cruise ship is calculated as follows;

Vr² = Va² + Vb²

where;

Vr is the resultant speed of the personVa is the speed of the person to the northVb is the speed of the person to the east

Substitute the value of the north speed and east speed to determine the resultant speed of the person on the ship.

Vr  =  √Va² + Vb²

Vr = √[(3.9 m/s)² + (12 m/s)² ]

Vr = 12.62 m/s

Thus, for a person on a cruise ship is doing laps on the promenade deck at a speed of 3.9 m/s to the north and the speed of the ship 12 m/s to the east, the resultant speed is 12.62 m/s.

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The complete question is below:

person on a cruise ship is doing laps on the promenade deck. On one portion of the track the person is moving north with a speed of 3.9 ms relative to the ship. The ship moves east with a speed of 12 ms relative to the water. Find the resultant speed of the person

an exploding charge applies 4000N of force on a 0.025kg bullet as it moves down a 0.5m long horizontal barrel. how much energy does the bullet have when it leaves the barrel?

Answers

The energy the bullet have when it leaves the barrel is 2000 J

How to determine the energy.

The energy of the bullet when it leaves the barrel can be obtained as illustrated below:

Force (F) = 4000 NDistance (d) = 0.5 mEnergy (E) = ?

Energy is defined as the ability to do work.

Energy (E) = Work (W)

Work (W) = force (F) × distance (d)

W = Fd

Thus,

E = W = Fd

E = 4000 × 0.5

E = 2000 J

From the above calculation, we can conclude that the energy of the bullet is 2000 J

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An object travels in a complete circle with circumference 50m over 10 seconds. Identify the correct statement about this trip.

a. speed and average velocity are both positive

b. speed and average velocity are both zero

c. speed is positive and average velocity is zero

d. speed is zero and average velocity is positive

Answers

The true statement is that speed and average velocity are both positive.

What is the speed?

The term speed has to do with the ratio of the distance that has been covered by a body with time. Now, we know that the distance is a scalar quantity, this implies that we do not take the direction to account anytime that we have to deal with the speed of a body. Thus the speed has been shown to be a scalar.

On the other hand the velocity of a body is the ratio of the displacement to the time taken by the object and the displacement is a vector quantity thus we have to take the direction account when looking at the velocity.

We know that the direction of the velocity changes as it moves round the circle. This implies that the velocity of the body changes and its positive. The speed is also positive.

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Which of the following atoms has the smallest radius?
The Periodic Table
A. Cesium (Cs)
B. Potassium (K)
C. Sodium (Na)
D. Lithium (Li)

Answers

Answer:

answer= lithium

Explanation:

electronic configuration

4. A vehicle is moving at 5 ms. How long will it take to stop at a distance of 15m​

Answers

Answer:

time is 3 seconds.

Explanation:

formula is given in the picture

HELP!!Use complete sentences to answer these questions.

1. Share an example from your house or neighborhood that represents a physical change occurring.







2. Share an example from your house or neighborhood that represents a chemical change occurring.

Answers

For number 2 u can say what changed your neighborhood

It is a multistep plan or strategy that allows you to achieve your goals.

1.

if you drive your car at 20 miles per hour and then accelerate at a rate of 3 miles per hour every second how fast will you be going after 8 seconds? PLEASE I NEED HELP NOW

Answers

The velocity of the car after 8 seconds of the drive will be 20.0066 miles/hr.

What is Acceleration?

Acceleration is defined as the rate of change of velocity with respect to time.

Given that you are driving your car at 20 miles per hour and then accelerate at a rate of 3 miles per hour every second.

We can calculate the acceleration using the formula -

a = Δv/Δt

a = (v - u)/t

Now -

t = 8 seconds = 0.0022 hrs

Then -

3 = (v - 20)/0.0022

3 x 0.0022 = v - 20

v = 20.0066 miles/hr

Therefore, the velocity of the car after 8 seconds of the drive will be 20.0066 miles/hr.

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I need help with my homework asap. Please

Answers

The molecules receive more energy and move faster after they have been heated up.

What is conduction?

The term conduction has to do with the process by which heat is transferred along a body by the movement of the particles of the substance. There are three main modes of heat transfer and these are;

ConductionConvectionRadiation

Now, we can see that before the flame was introduced, the molecules of the substances all maintained the same average position. The molecules do not move except there is a supply of energy.

Now, when we turn on the flame, we would notice that we have imparted additional energy to the particles that are in the solid when we heat it up. As such, the particles move more freely and we can see that  as the motion of the particles in the image. The portion that shows the particles after the heating shows that they are now translating.

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If you ride a bike at a constant speed in a circle on a flat surface that has a coefficient of kinetic friction of 0.27. What is the centripetal acceleration of the bike?

Answers

The centripetal acceleration of the bike is 2.65 m/s².

What is centripetal acceleration?

Centripetal acceleration is the acceleration of an object moving in a circular track. This acceleration describes the rate of change of tangential velocity with time in the circular track.

The magnitude of the centripetal acceleration, can be determined by applying the formula for net force.

At constant speed, the centripetal acceleration of the bike is given as;

μmg = ma

μg = a

a = μg

where;

μ is coefficient of frictiong is acceleration due to gravity

a = (0.27) x (9.8 m/s²)

a = 2.65 m/s²

Thus, the centripetal acceleration of the bike increases with increase in velocity.

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please help ASAP! Brainliest to the best answer​

Answers

Answer:

1. A series circuit consisting of:

12 V electrical source

open switch

two light bulbs

10 Ω resistor

2. A parallel circuit consisting of:

9.0 V electrical source

open switch

three 5.0 Ω resistor

3. A circuit consisting of:

three 1.5 V cells connected in parallel

open switch

two light bulbs connected in series

two 15 Ω resistor connected in parallel

4. Draw a circuit diagram consisting of a

9.0 V battery, an ammeter, and a 25 Ω

resistor in series. Include a voltmeter

that is measuring the potential difference

across the resistor.

5. Draw a circuit diagram consisting of a

battery made up of two 1.5 V cells, one

closed switch, two lamps, and an

ammeter in series. Show the direction in

which the current flows.

6. Draw a circuit diagram consisting

of a battery made up of four 1.5 V

cells, one closed switch, one lamp, two

0.50 Ω resistors in series, and a

voltmeter.

Show the direction in which

the current flows.

a sphere of mass 3.9 ✕ 10-4 kg is suspended from a cord. a steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 32° with the vertical.

Answers

The push magnitude and the tension of the cord is 5.4 × 10^-4

What is cord ?

cord is the slender flexible material usually consisting of several stands or twisted together.

It is wired coverd in rubber or plastic which connects electrical equipment to an electricity supply.

The free body diagram as per the question with the tension of string T .

The force of gravity ~mg

The force of air ~f

Since the sphere is motionless the net force on it is 0.

And the x and y are the components of the equation are zero

Tsin + 0 = F

Tcos - mg= 0

Where ¥ = 32°

Thus we get

T= (3.9×10^-4 kg ) (9.8m/s^2)/cos32°

= 2.1×3.2×10^-4

Solving T

We can get the F =

(3.2×10^-4)sin 32° =

5.4 ×10^-4

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Two vectors A1 and A2 each of magnitude are inclined to each other such that their resultant is equal to √3Afind the resultant of vectorA1 1 and -A1

Answers

When A1 and -A1 are of the same magnitude but the opposite direction, their total will be zero.

what is vector?

A quantity or phenom with independent property for the both magnitude and direction is called a vector. The term may also refer to a quantity's mathematical or geometrical representation. Velocity, electromagnetic fields, and weight are just a few examples of vectors in nature.

0 is the intersection of line A1 and -A1.

Both the matrices A1 and A2 have the same magnitude, which itself is A

|A1| = A , |A2| = A

the result of A1 and A2 is 3 A

Hence, 3 A = (A2 + A2 + 2A2 cos x)

3A2 = 2A2 + 2A2 cos x

=> 1/2 = cos x

x = 60°

A1 and A2 are at an angle of 60 °.

Now, we must find the product of A1 and -A1. These vectors create a 180° angle.

the product of A1 and -A1 is (A2 + A2 + 2A2 cos 180°

=> √(2A²-2A²)

=> 0

When A1 and -A1 are of the same magnitude but the opposite direction, their total will be zero.

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A cat chases a mouse across a 0.94 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 1.0 m from the edge of the table. The acceleration of gravity is 9.81 m/s 2 . What was the cat’s speed when it slid off the table? Answer in units of m/s

Answers

The speed of the cat when it slide off the table is 2.27 m/s

To obtain the answer to the given question, we'll begin by obtainig the time taken for the cat to strike the floor. This can be obtained as follow:

Height (h) = 0.94 mAcceleration due to gravity (g) = 9.81 m/s²Time (t) = ?

h = ½gt²

0.94 = ½ × 9.81 × t²

0.94 = 4.905 × t²

Divide both side by 4.905

t² = 0.94 / 4.905

Take the square root of both side

t = √(0.94 / 4.905)

t = 0.44 s

How to determine the speed

The speed of the cat can be obatined as illustrated below:

Horizontal distance (s) = 1 mTime (t) = 0.44 sspeed (u) = ?

s = ut

1 = u × 0.44

Divide both sides by 0.44

u = 1 / 0.44

u = 2.27 m/s

Thus, we can conclude that the speed of the cat is 2.27 m/s

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For motion from s=+2cm to −5cm, then to +12cm, calculate the total displacement change.

Answers

The total displacement change from s=+2cm to −5cm, then to +12cm is + 7 cm

Displacement = Final position - Initial position

Final position = + 2 - 5 + 12 cm = + 9 cm

Initial position = + 2 cm

Displacement = ( + 9 ) - ( + 2 )

Displacement = + 7 cm

Displacement is the instantaneous distance between initial and final position. It is a vector quantity. So adding a sign is necessary for displacement.

Therefore, the total displacement change is + 7 cm

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A place kicker must kick a football from a point 31.5 m from a goal. As a result of the kick, the ball must clear the crossbar, which is 3.05 m high. When kicked the ball leaves the ground with a speed of 20.2 m/s at an angle of 53° to the horizontal.
(a) By how much does the ball clear or fall short of clearing the crossbar?
(b) Does the ball approach the crossbar while still rising or while falling?

Answers

(a) The ball cleared the crossbar by 10.23 m.

(b) The ball approaches the crossbar while falling.

What is the maximum height reached by the ball?

The maximum height reached by the ball is calculated by applying the following kinematic equation as shown below;

H = u² sin²θ / 2g

where;

u is the initial velocity of the ballθ is the angle of projection of the ballg is acceleration due to gravity

H = (20.2² x (sin 53)²) / (2 x 9.8)

H = 13.28 m

ΔH = 13.28 m - 3.05 m = 10.23 m

The horizontal distance travelled by the ball is calculated as follows;

R = u² sin(2θ) / g

R = (20.2² sin(2 x 53) ) / (9.8)

R = 40 m

Thus, the ball cleared the crossbar and since the maximum height travelled by the ball is far greater than the height of the crossbar, the ball will approach the crossbar while falling.

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how do the kinetic energy of each of the following objects compare to one another? i. object of mass 2 kg traveling at constant velocity of 2.5 m/s in the x x direction ii. object of mass 1 kg traveling at constant velocity of 5 m/s in the x x direction iii. object of mass 1 kg traveling at constant velocity of 3 m/s in the x x direction and -4 m/s in the y y direction

Answers

Kinetic energy of each of the following objects compared like K₃ = K₂ > K₁  or   K₃ = K₂ = K₁.

Kinetic energy of an object of mass, m and speed, v is

K = 1/2 mv²

(1) Given, m = 2kg,  v = 2.5m/s

So, K = 1/2 mv²

K₁ = 1/2 × 2×(2.5)²

K₁ = 6.25 J

(2) Given, m = 1kg,  v = 5m/s

K = 1/2 mv²

K₂  = 1/2 × 1×(5)²

K₂ = 12.5 J

(3) Given, m = 1kg,  Vx = 3m/s,  Vy= 4m/s

v = [tex]\sqrt{Vx^{2} + Vy^{2} }[/tex]

v = 5m/s

K = 1/2 mv²

K₃ = 1/2 × 1×(5)²

K₃ = 12.5 J

Hence, K₃ = K₂ > K₁ or K₃ = K₂ = K₁ .

Kinetic energy is the type of energy which is due motion of an object. Kinetic energy is the product of half of mass and velocity square. Its unit Joule and is represented by J.

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Which of the following can be considered mechanical energy?

A. a hot bowl of soup
B. plant growth
C. doing bicep curls

Answers

C. doing bicep curls.

Explanation:

why? A. is considered thermal energy.

B. is considered solar energy to chemical energy.

The answer is c











Have a nice day :)

Are leaders born or made? What factors influence a person’s leadership style? FIRST TO ANSWER BRAINLIEST RIGHT

Answers

Answer:

Leaders are made but ultimately both can be true.

Explanation:

Recent scientific studies suggest that leadership is 30% genetic and 70% learned. These findings propose that leaders are made not born. Ultimately, the answer is that both are true: a person can be born with natural leadership abilities, and someone can learn how to be a good leader at work. Leadership is a set of skills that can be learned by training, perception, practice and experience over time. Leadership learning is lifetime activity. Good leaders seek out development opportunities that will help them learn new skills.

Answer:

Well it's the past which really impacts

Explanation:

Most of the time a leader is made, it's not definite that a person has characteristics of a leader since his/her childhood. It's the impact mostly which determines and the way your parents raised you or are you independent who can solve problems on his or her own. If you have seen the world and have learned lessons from your mistake it's easy for you to have leadership qualities because you know what are the risks of something or is something worth your time.

That's what I think

Physics question doubt!

Answers

Your answer is 7.60 184 due to hgelocmic

Answer: I think it's 7.60 184

Explanation: If I did my math right it's 7.60 184

A toy train with a mass of 2 kg moving at 10 m/s collides with a 2-kg toy train that is
stationary. If the two trains move together after the collision, what will be their speed after impact

Answers

Because momentum will be conserved, their common speed after impact will be 5 m/s

Third Newton's Law of Motion

The third Newton's law of motion states that in any action, there will be equal and opposite reaction.

Given that a toy train with a mass of 2 kg moving at 10 m/s collides with a 2-kg toy train that is stationary. If the two trains move together after the collision, their speed V after impact can be calculated through the formula

M1U1 + M2U2 = (M1 + M2)V

The given parameters are

M1 = 2 kgU1 = 10 m/sM2 = 2kgU2 = 0V = ?

Substitute all the parameters into the formula

2 × 10 + 2 × 0 = (2 + 2)V

20 = 4V

V = 20/4

V = 5 m/s

Therefore, their speed after impact is 5 m/s

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Recalling a significant dream you've had, write a one- to two-paragraph description of the dream, detailing specific events. Then, write a four-paragraph interpretation of your dream. As you hurry to catch your flight at the local airport, you encounter a moving walkway that is 90 m long and has a speed of 2.1 m/s relative to the ground.If it takes you 70 s to cover 90 m when walking on the ground, how long will it take you to cover the same distance on the walkway? Assume that you walk with the same speed on the walkway as you do on the ground. Combustion of 1.00 102 mg of caffeic acid yields 220 mg of CO2 and 40.3 mg of H2O. Complete the following table about metric units South Carolina threatened to secede in 1832 in response to what event? Would you classify 121 as a perfect square, perfect cube, both, or neither?Choose the correct answer below.O A. The number is a perfect square because = 121.OB. The number is a perfect cube because= 121OC. The number is both a perfect square and a perfect cube because= 121 and= 121OD. The number is neither a perfect square nor a perfect cube because there is no integer thatcan be squared to get 121 and no integer that can be cubed to get 121. consider an economy that produces only smartphones and laptops. last year, 10 smartphones were sold at $800 each, and 5 laptops were sold at $1,000 each, while this year, 15 smartphones were sold at $900 each, and 10 laptops were sold at $1,100 each. real gdp this year, using last year as a base year, is: The decimal 105.7 becomes 1,057 when multiplied by 10. The same number becomes 10.57 when multiplied by 0.10. Explain why.-Multiplying by 10 makes the number(Type whole numbers or decimals.)by a factor of Multiplying by 0.10 makes the numberby a factor of if the gradient of a line is 3, what is the gradient of the line which is perpendicular to A The length of the batter's box on a softball field is 1 ft more than twice the width. The area of the batter's box is 78 ft2. Find the length and width of the rectangular batter's box. Find the slope from the graph:Question 4 options:-1/31/311/92/3 16. Fill in the left side of the two-column proof (4 points).Given:32 = 2x + 4y; x = 2y = 7Prove:32 = 2x + 4y; x = 2GivenSubstitution PropertySubtraction Property of EqualityDivision Property of EqualitySymmetric Property of Equality Ramona wrote 14 letters to friends each month for n months in a row. Write an expression to show how many total letters Ramona wrote. How many miles is 100% of 44 miles? An atom of Lithium has three protons. It is neutral so it has no electrical charge.Which statement is true using ONLY this information?A There is a charge of +3 on an atom of lithium.B There are three neutrons in the nucleus.C There are three electronsD There is charge -3 on an atom of lithium. Hello is this correct why doesn't a heavy object accelerate more than a light object when both are freely falling? why doesn't a heavy object accelerate more than a light object when both are freely falling? the ratio of the weight to mass is the same for all objects in the same locality. the inertia of the heavy object equals the inertia of the lighter object, so their accelerations are the same. the inertia of the heavy object is just enough smaller than the inertia of the lighter object to counteract the larger gravity force. the larger air resistance force on the larger object makes it fall with the same acceleration. You deposit $400 each month into an account earning 4% interest compounded monthly. a) How much will you have in the account in 30 years? Pat has 3 times as many dimes as nickels. In all she has $1.40. How many coins of each does she have? what intermolecular forces are present in pure samples of both chchchf and chchchoh? a) dispersion forces only. b) dipole-dipole forces only. c) dispersion forces, dipole-dipole forces, and hydrogen bonding. d) dispersion forces and dipole-dipole forces