Fig. 2.1 shows a train
Fig. 2.1
The total mass of the train and its passengers is 750000kg. The train is travelling at a speed of 84m/s.
The driver applies the brakes and the train takes 80s to slow down to a speed of 42m/s.
(a) Calculate the impulse applied to the train as it slows down,
impulse =
[3]
(b) Calculate the average resultant force applied to the train as it slows down,
force =
(2)

Answers

Answer 1

Answer:

[tex]\mathrm{(a)\:}32,000,000\:\mathrm{Ns},\\\mathrm{(b)\:}390,000\:\mathrm{N}[/tex]

Explanation:

The impulse-momentum theorem states the impulse on an object is equal to the change in momentum of that object. Momentum is given by [tex]p=mv[/tex]. Since mass is constant, the train's change in momentum is:

[tex]\Delta p=m\Delta v=750,000\cdot42=31,500,000=\fbox{$32,000,000\:\mathrm{Ns}$}[/tex](two significant figures).

Impulse is also given as [tex]\Delta p = F\Delta t[/tex], where [tex]F[/tex] is the average force applied and [tex]\Delta t[/tex] is change in time. Since [tex]t[/tex] is given as [tex]80\mathrm{s}[/tex], we have the following equation:

[tex]F\Delta t=\Delta p\\\\F=\frac{\Delta p}{\Delta t},\\\\F=\frac{31,500,000}{80},\\\\F=393,750=\fbox{$390,000\:\mathrm{N}$}[/tex](two significant figures).


Related Questions

What is the speed of a person travelling 30 meters in 5 seconds?

Answers

Answer:

[tex]6\:\mathrm{m/s}[/tex]

Explanation:

Denote average speed by [tex]S=\frac{d}{t}[/tex] where [tex]d[/tex] is total distance travelled and [tex]t[/tex] is time.

Plugging in given values, we get:

[tex]S=\frac{30}{5}=\fbox{$6\:\mathrm{m/s}$}[/tex].

Answer:

s

Explanation:

Write a message to Mr. Chang explaining why the groundwater heating system will warm the school more than the water heater system. Use evidence to support your claim. For each piece of evidence you use, explain how the evidence supports your claim.

Answers

Answer:

For, heating purposes more the quantity of  water more will be the heating. Clearly, underground heating would have more water and hence, it will have edge over the  water heater system.

Moreover, for things at the same temperature, the thing with more molecules has more total kinetic energy (thermal energy) than the thing with fewer molecules. The groundwater heating system uses heat from the heat stored naturally in groundwater or aquifers. Thus, saving the cost of power required to heat in normal water heater.

Explanation:

The groundwater heating system will warm the school more than the water heater system due to the fact that it uses more water more than the other system.

Based on the complete question, it should be noted that the addition of energy leads to an increase in motion which results in the rise in temperature.

The groundwater heating system will warm the school more than the water heater system due to the fact that it uses more water more than the other system even though its water isn't as warm as in the other system.

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What nuclear reaction is shown in the equation below?
A. Nuclear fusion
B. Nuclear fission
C. Positron emission
D. Beta decay​

Answers

The carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.

What is a nuclear fusion?

The term nuclear fusion refers to a kind of reaction in which two nuclei fuse together to give rise to a single nuclei with the evolution of energy.

We can see that the carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.

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Answer:

A. Nuclear fusion

Explanation:

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a train has an initial velocity of 44m/s and an accelaration of _4m/s calculate its velocity​

Answers

Answer:

It's 4m/s

Explanation:

V = u _ at, at u = 44m/s

44 + [-4]10

4m/s

find the cp of an article which is sold for rupees 4048 , thereby , making a profit of 15 percent​

Answers

Answer:

4048 = 115x/100.

Explanation:

Profit P = (15/100) X x.

P= 15x/100.

15x/100 = 4048- x.

4048 = 15x/100 + x.

4048 = 115x/100.

How does a wheel and axle make work easier?

Answers

The wheel and axle is a simple machine that reduces the friction involved in moving an object, making the object easier to transport. ... Once the object is moving, the force of friction opposes the force exerted on the object. The wheel and axle makes this easier by reducing the friction involved in moving an object.

In addition to reducing friction, a wheel and axle can also serve as a force multiplier, according to Science Quest from Wiley. If a wheel is attached to an axle, and a force is used to turn the wheel, the rotational force, or torque, on the axle is much greater than the force applied to the rim of the wheel.

If Minnie the Mouse starts moving at 2m/s and increases her velocity to 4m/s because she is being chased, what is heracceleration if the time is 2 seconds?

Answers

Answer:

1m/s²

Explanation:

Given parameters:

Initial velocity  = 2m/s

Final velocity  = 4m/s

Time of chase  = 2s

Unknown:

Acceleration = ?

Solution:

Acceleration is the rate of change of velocity with time;

 A = [tex]\frac{v - u }{t}[/tex]  

A is the acceleration

v is the final velocity

u is the initial velocity

t is the time taken

      A  = [tex]\frac{4 - 2}{2}[/tex]   = 1m/s²

Select the correct answer.
A stone is dropped from a tower 100 meters above the ground. The stone falls past ground level and into a well. It hits the water at the bottom
of the well 5.00 seconds after being dropped from the tower. Calculate the depth of the well. Glven: g=-9.81 meters/second?
A.22.5 meters
B.50.7 meters
C.100 meters
D.110 meters
E.152.45 meters

Answers

Answer:

A

Explanation:

Givens

d = 100 meters plus the depth of the well

d = 100 + x                          where x is the depth of the well.

vi = 0 m/s                           The object is dropped. It was not thrown.

t = 5 seconds

a = 9.81 m/s^2

formula

d = vi*t  +  1/2 a t^2

solution

100 + x = 0 + 1/2 * 9.81 * 5^2

100 + x = 122.625             Subtract 100 from both sides

x = 122.625 - 100

x = 22.6  m

The well is 22.6 meters deep.

Intensitatea curentului electric a unui circuit este de 123A iar sarcina electrica este de 1,7C sa se afle intervalul de timp in care este transportata sarcina electrica

Answers

The intensity of the electric current of a circuit is 123A and the electric charge is 1.7C to find the time interval in which the electric charge is transported.

Given that,

Current, I = 123 A

Electric charge, q = 1.7 C

To find,

The time interval in which the charge is transported.

Solution,

The electric current is given by electric charge per unit time. So,

[tex]I=\dfrac{q}{t}\\\\t=\dfrac{q}{I}\\\\t=\dfrac{1.7}{123}\\\\t=0.0138\ s[/tex]

So, the required time is 0.0138 seconds.

What 2 factors impact gravitational pull?

mass and distance

matter and energy

size and shape

speed and direction

Answers

Answer:

When dealing with the force of gravity between two objects, there are only two things that are important – mass, and distance. The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them

A 10.0kg box sits at rest on ramp that has an incline of 20.0° from the horizontal. What is the force of gravity acting on the box?

A. -98.0N

B. 98.0N

C. -92.1N

D. -33.5N

Answers

I think it would be d

Answer:

98.0N

Explanation:

Sound is repeated near hills.​why

Answers

Answer:

Sound waves are reflected back

This is very hard, I don't understand.

Answers

Answer:

[tex]4x - 6 = 90 \\ 4x = 96 \\ \boxed{x = 24}[/tex]

Now, AD is an altitude of∆ABC

Therefore, D is the midpoint of BC

[tex]x + 7 = 2x - 15 \\ \boxed{x = 22}[/tex]

CD is (22+7) = 29 & DB is (2×22-15) = 29

[tex] \huge \boxed{\: x = 24 }\\ \huge \boxed{CD \: and \:DB= 29}[/tex]

A 1.0-kilogram rubber ball traveling east at 4.0 meters per second hits a wall and bounces back toward the west at 2.0 meters per second. Compared to the kinetic energy of the ball before it hits the wall, the kinetic energy of the ball after it bounces off the wall is

Answers

Answer:

8 J and 2 J

Explanation:

Given that,

Mass of the rubber ball, m = 1 kg

Initial speed of the rubber ball, u = 4 m/s (in east)

Final speed of the rubber ball, v = -2 m/s (in west)

We need to find the kinetic energy of the ball before it hits the wall, the kinetic energy of the ball after it bounces off the wall.

Initial kinetic energy,

[tex]K_i=\dfrac{1}{2}mv^2\\\\K_i=\dfrac{1}{2}\times 1\times (4)^2\\\\K_i=8\ J[/tex]

Final kinetic energy,

[tex]K_f=\dfrac{1}{2}mv^2\\\\K_f=\dfrac{1}{2}\times 1\times (2)^2\\\\K_f=2\ J[/tex]

So, the initial kinetic energy is 8 J and the final kinetic energy is 2 J.

The kinetic energy of the ball after it bounces off the wall is 2.0 Joules.

The kinetic energy of an object is the energy that is in motion or performing work. It can be expressed by using the formula:

[tex]\mathbf{K.E = \dfrac{1}{2}mv^2}[/tex]

The mass of the object(rubber ball) = 1.0 kgThe initial speed of the rubber ball before the collision = 4.0 m/sThe final speed of the rubber ball after the collision = - 2.0 m/s

The Kinetic energy of the ball after the collision and when it bounces off the wall is computed as:

[tex]\mathbf{K.E = \dfrac{1}{2} \times 1 \times 2.0^2}[/tex]

K.E = 2.0 Joules

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Carrie pulls a 41.5 kg bin across the floor of her garage using a rope that is attached to the bin. She pulls with a force of 138 N, at an angle of 28.0° above horizontal. The coefficient of kinetic friction between the floor and the box is 0.290 . What is the acceleration of the box?

Answers

Answer: 0.81N

Explanation: Fwx = .165x 9.81 Silicon 30 = 0.81N

What does ionic bond mean

Answers

Answer:

The acception and donation of elections within two elements is called as ionic bond.

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how is velocity ratio of wheel and axle calculatedaad

Answers

Answer:

VR = [tex]\frac{Radius of wheel}{Radius of axle}[/tex]

Explanation:

A machine is a device that can be used to overcome a load by the application of an effort through a pivot. Examples are: pulleys, wedge, screw jack, wheel and axle etc.

The wheel and axle is a simple device that can be used to lift a load through a height. Its velocity ratio (VR) can be determined by:

VR = [tex]\frac{Radius of wheel}{Radius of axle}[/tex]

Note that for a practical wheel and axle, the radius of the wheel is greater than the radius of the axle.

(a) Explain the advantage of using a plane mirror in optical testing.
explain your answer ​

Answers

Answer: Optical test is a test which is used to assess vision and ability of the person to focus on the objects.

Explanation:

The following are the advantages of utilizing plane mirror in optical testing:

1. When a plane mirror is used for testing the image of the test card must be placed at distance equal to the distance of the object.  

2. Larger distance in between the object or test card and viewer is obtained. This can help in determining the exact ability of the eye to focus on objects.

Bob the Builder is making a delivery of wood in his work truck. He is traveling at the velocity of 12 mi/hour at the top of the hill. Nine seconds later he reaches the bottom of the hill and is moving north at 25 mi/hour. What is the acceleration?

Answers

Answer:

Acceleration, a = 0.65m/s² due North.

Explanation:

Given the following data;

Initial velocity = 12mi/hr

Final velocity = 25mi/hr

Time = 9 secs

To find the acceleration;

First of all, we would convert miles per hour to meters per seconds.

[tex] Initial \; velocity = \frac {12 * 1609.344}{60*60} = \frac {19312.128}{3600} = 5.37m/s [/tex]

[tex] Final \; velocity = \frac {25 * 1609.344}{60*60} = \frac {40233.6}{3600} = 11.18m/s [/tex]

Now to find the acceleration;

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

Substituting into the equation, we have;

[tex]a = \frac{11.18 - 5.37}{9}[/tex]

[tex]a = \frac{5.81}{9}[/tex]

Acceleration, a = 0.65m/s² due North.

If the mass of an object increases, then its kinetic energy will ____________ because __________________________

Answers

Answer:

when mass will increase then kinetic energy will also increase because both have positive relationship

Explanation:

when volume increase then molecule come closer then more movement will occurs and kinetic energy increase


In the diagram shown above, the circles represent small balls that have
electric charges. Ball 1 has a negative charge, and ball 2 is repelled by ball 1
Next, you see that ball 2 repels ball 3 and that ball 3 attracts ball 4. What is
the electric charge on ball 4?
Ball 4 may have either a positive or negative charge,
Ball 4 has a negative charge.
Ball 4 has a positive charge.

Answers

I think the answer is Bell 4 may have either a positive or neg

Answer:

ball 4 has a positve charge

Explanation:

-Ball 2: is negative because it is repelled by ball one (like signs repel)

- ball 3: is also negative because it is repelled by ball one (like signs repel)

- Ball 4: is positive because it is attracted by ball 3 (opposite signes attract)

asap plz help me
Which option identifies the importance of Snow’s scientific work to the medical community?


It was the foundation for epidemiology.

It pioneered the invention of vaccines.

It was the foundation for germ theory.

It created sterilization techniques.

Prior to germ theory, how were diseases thought to be transmitted?


human contact

animal contact

poisonous air

spoiled food

Answers

Answer:

It founded the foundation for epidemiology Human contact

The answer are:

1. It founded the foundation for epidemiology.2. poisonous air

Which of the following quantities are vectors?
charges
electric fields
energy
potentials

Answers

Answer:

electric fields

Explanation:

Who is the father of Nuclear Physics?​

Answers

Answer:

Ernest Rutherford, 1st Baron Rutherford of Nelson

When a cyclist is decelerating uphill the forces on him are balanced or unbalanced ​

Answers

Answer:

Unbalanced

Explanation:

A cyclist decelerating uphill has unbalanced forces acting on him. An unbalanced force acting on a body has a net force which is greater than zero. When a body is accelerating or decelerating, the forces are not balanced.

A body with a net force of zero has balanced forces acting on it. Such body is moving with constant acceleration. According to newton's first law of motion" a body will remain in state of rest or of uniform motion unless an external force acts on it". The external force causes acceleration to change drastically.

Can someone please help? Please?

Answers

Answer:

I think A= 5M/S is answer

Find the density of a solid object whose mass is 315g, given that its length is 7cm,
width is 3cm and height is 5cm. b) State the unit for measuring density.
Thanks for helping

Answers

Answer:

Density is the mass of an object divided by its volume. ... Density often has units of grams per cubic centimeter ... Density is not something that is directly measured.

Explanation:

given

mass (m) = 315 g

length (l) = 7 cm

width (b) = 3 cm

height (h) = 5 cm

Now

volume (v) = l * b * h

V = 7 * 3 * 5

V = 105 cm³

Density (d) = ?

We know

density is defined as mass per unit volume so

d = m / v

d = 315 / 105

d = 3 g/cm³

Therefore density = 3 g/cm³

Note

If the question is asked to write in SI unit of density then u have to write the unit of density as kg/m³

Hope it will help :)

IS IT B!! if not pls helpp!

Answers

Answer:

I believe you are correct but we just started this unit

Explanation:

Two billiard balls of equal mass collide. Ball 1 is initially moving at 0.43 m/s to the left, and ball 2 is initially at rest. Which of the following sets of final velocities does not describe an inelastic collision between the balls?


A. Ball 1 at 0.12 m/s left, Ball 2 at 0.31 m/s left

B. Ball 1 at 0.21 m/s left, Ball 2 at 0.22 m/s left

C. Ball 1 at 0.10 m/s left, ball 2 at 0.33 m/s left

D. Ball 1 at rest, ball 2 at 0.43 m/s left

Answers

The answer should be (B)

Answer: B

"Ball 1 at 0.21 m/s left, Ball 2 at 0.22 m/s left"

Help !!!!!!!!
Please its Urgent.

Answers

None can.

A clinical thermometer only measures temperatures above +30°C.

Mercury and alcohol are both frozen solid at -50°C.

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