A car of mass 1700kg moves in a straight line along a slope that is at an angle θ to the
horizontal, as shown in Fig. 3.1.
The car moves at constant velocity for a distance of 25m from point A to point B.
Air resistance and friction provide a total resistive force of 440N that opposes the motion of the car.
For the movement of the car from A to B:
(i) state the change in the kinetic energy.
[How do you find the change in kinetic energy?..]

A Car Of Mass 1700kg Moves In A Straight Line Along A Slope That Is At An Angle To Thehorizontal, As

Answers

Answer 1

The change in the kinetic energy is (22000 + 416500sinθ) J

Net force on car

The net force on the car F' = F - f - N where

F = force due to car, f = total resistive force = 440 N and N = horizontal component of weight of car = mgsinФ where m = mass of car = 1700 kg, g = acceleration due to gravity = 9.8 m/s² and θ = angle of slope

So, F' = F - f - N

F' = F - f - mgsinθ

Since the car moves at constant velocity, the net force F' = 0

So, F' = F - f - mgsinθ

F - f - mgsinθ = 0

F = f + mgsinθ

Work-kinetic energy theorem

From the work-kinetic energy theorem,

The kinetic energy change of the car ΔK equals the work done by force on car, W

ΔK = W = Fd where

F = force on car and d = distance moved by car = 25 m

ΔK = Fd

= (f + mgsinθ)d

=  fd + mgdsinθ

Change in kinetic energy of car

Substituting the values of the variables into the equation, we have

ΔK = fd + mgdsinθ

= 440 N × 25 m + 1700 kg × 9.8 m/s² × 25 m × sinθ

= 22000 Nm + 416500sinθ Nm

= (22000 + 416500sinθ) J

So, the change in the kinetic energy is (22000 + 416500sinθ) J

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Related Questions

A car goes from rest to 25 m/s in 10 seconds. Determind the acceleration of the car.

Answers

Answer:

2.5m/s^2

Explanation:

a=velocity/time

a=25m/s/10s

a=2.5m/s^2

Which of the following is most likely to happen when energy is transferred to
an object?
A. The object will stay exactly the same.
B. The force on the object will decrease.
o
C. The object will begin to move.
D. The mass of the object will increase.
AUTEM

Answers

Answer:The object will begin to move

Explanation:

A cyclist is traveling 10 m/s with an acceleration of 6 m/s2. How fast is the cyclist traveling at the end of 20 seconds

Answers

Answer:

The cyclist is traveling at 130 m/s

Explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.

Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:

[tex]v_f=v_o+at[/tex]

The cyclist initially travels at 10 /s and it's accelerating at a=6m/s^2. We need to know the new speed when t= 20 seconds have passed.

Apply the above equation:

[tex]v_f=10+6\cdot 20[/tex]

[tex]v_f=10+120[/tex]

[tex]v_f=130\ m/s[/tex]

The cyclist is traveling at 130 m/s

Calculate the acceleration if you push with a 20-N horizontal force on a 2-kg block on a horizontal friction-free air table

Answers

acceleration = force / mass = 20 / 2 = 10 m/s^2

what is called gravity ​

Answers

Gravity is also called gravitation

A baby panda has a mass of 2.3 kg. What is the weight of the baby panda Newtons?
23 N
4 N
2.3 N
100 N

Answers

Answer:

23 N

Explanation:

2) Decapite the use of different types of measurement in as
country why is SI system introdused? Explain.​

Answers

Answer:

If you don't know then skip it. XD

Explanation:

None of these are examples of projectile motion except: (Click all that
Apply)
A) Shooting a Basketball
B) Throwing a Baseball
C) Shooting a Cannon
D) Shooting a Gun
E) Writing a Pencil
F) Rolling a Bowling Ball

Answers

Writing with a pencil

PLEAS HURRY :) 10 POINTS + BRAINLIEST TO FIRST CORRECT ANSWER


How do the metal aluminum coils in an air conditioner help keep a house cool?


They insulate the house from outside thermal energy.

They conduct thermal energy from inside the house and release it outside the house.

They insulate the surrounding air from indoor thermal energy.

They conduct thermal energy from outside the house and release it inside the house.

Answers

Answer:

They conduct thermal energy from inside the house and release it outside the house. ... It reduces the amount of thermal energy that is transferred from outside to inside the container

Answer:

They conduct thermal energy from inside the house and release it outside the house

Which of the statements about the nitrogen cycle is not true? Animals get nitrogen by eating plants or other animals Animals get nitrogen by eating plants or other animals Decomposers break down waste to yield ammonium Decomposers break down waste to yield ammonium Nitrogen moves back and forth between the atmosphere and living things Nitrogen moves back and forth between the atmosphere and living things All plants generate nitrogen in their roots

Answers

Answer:

decomposers break down waste to yield ammonia.

Explanation:

The nitrogen cycle is the process by which nitrogen circulates among the atmosphere, terrestrial, and marine ecosystems and is converted into multiple chemical forms through both biological and physical processes.

In the nitrogen cycle, decomposers do not break down waste to yield ammonia.

So, the option ''decomposers break down waste to yield ammonia'' is correct.

c. What did you notice with the acceleration values obtained by the different items? What do you think caused the variations in these values?

Answers

Explanation:

The given table gives the acceleration of an object for the different items at 50 N force.

Force acting on an object is given by :

[tex]F=ma[/tex]

As, [tex]a=\dfrac{v-u}{t}[/tex]

where u and v are initial and final velocities

It can be noticed that, as the mass of the object increases and final velocity decreases, the value of acceleration also decreases. It is maximum when the mass is least and the final velocity is most. As mass and velocity is changing, it will cause the change in variations of the value of a.

Variation in the values of acceleration occurs due to the different in the final velocity of different items.

The acceleration values obtained by the different items varies from one another because of different mass as well as final velocity. Acceleration depends on both mass of an object as well as velocity. We know that acceleration is the time rate of change of velocity.

So if the change occur in velocity we also experience change in the acceleration of that object so we can conclude that variation in the values of acceleration occurs due to the different in the final velocity of different items.

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Engineers tasked with building a car bumper need high-quality plastic that is readily available. They found the material polycarbonate, which is long-lasting and not too costly.
Which is on technological design criterion they have already met?
1) be available
2)be attractive
3)be durable
4)be safe

Answers

Answer:

3) Be durable

Explanation:

It says that ¨ They found the material polycarbonate, which is long-lasting and not too costly.

Why is a skeptical attitude important in science?
A. It allows scientists to challenge inaccurate information.
B. It allows scientists to accept all information as true.
C. It ensures that scientists write short articles.
D. It highlights the good features of an experiment.
E. It provokes other scientists.

Answers

The answer is
A. It allows scientists to challenge inaccurate information

Answer:

A: It allows scientists to challenge inaccurate information.

Explanation:

A race car accelerates from 0 m/s to 30.0 m/s in 5 seconds. What is the vehicle's acceleration?

Answers

Answer:

Acceleration = 6 m/s²

Explanation:

Given:

Initial velocity u = 0 m/s

Final velocity v = 30 m/s

Time taken t = 5 second

Find:

Acceleration

Computation:

v = u + at

30 = 0 + (a)(5)

30 = 5a

Acceleration = 30 / 5

Acceleration = 6 m/s²

A wire is placed within a magnetic field, and a current starts to flow through
the wire. Which statement about the magnetic field must be true?
O A. The field is produced by permanent magnets,
O B. The field is moving
C. The field is produced by induced magnetism.
OD. The field is not moving
PLEASE PLEASE HELP QUICK

Answers

The field must be moving to produce a current in a stationary wire.

Answer:

B. The field is moving

SOMEONE PLEASEEEE HELPP

Answers

Answer:

0.161

Explanation:

N = mg

= 8.2(9.81)

= 80.442 N

Melissa is riding on a carousel at a distance of 8.0 m from the center of the ride. She travels at a speed of 1.3 m/s. Melissa has a mass of 45 kg.
A) What is Melissa’s acceleration?
B) What is the net force on Melissa?

Answers

Answer:

(A) The acceleration of Melissa is 0.211 m/s²

(B) The net force on Melissa is 9.5 N

Explanation:

Given;

radius of the carousel, r = 8.0 m

speed of Melissa, v = 1.3 m/s

mass of Melissa, m = 45 kg

(A) The acceleration of Melissa is given by centripetal acceleration;

[tex]a_c = \frac{v^2}{r} \\\\a_c = \frac{1.3^2}{8}\\\\a_c = 0.211 \ m/s^2[/tex]

(B) The net Force on Melissa is given by centripetal force;

[tex]F_c = ma_c\\\\F_c = 45 *0.211\\\\F_c = 9.5 \ N[/tex]


What is the acceleration of a car making a turn in a circle with a 100m radius traveling at
17m/s?

Answers

Answer:

2.89 m/s²

Explanation:

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

Radius (r) = 100 m

Velocity (v) = 17 m/s

Acceleration (a) =.?

The acceleration of a circular motion is defined by:

a = v²/r

Where:

a is the acceleration.

v is the velocity.

r is the radius.

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

Radius (r) = 100 m

Velocity (v) = 17 m/s

Acceleration (a) =.?

a = v²/r

a = 17²/ 100

a = 289/100

a = 2.89 m/s²

Therefore, the acceleration of the car is 2.89 m/s²

how can we calculate the e.m.f of the battery?.

Answers

Explanation:

The emf is equal to the work done on the charge per unit charge (ϵ=dWdq) when there is no current flowing. Since the unit for work is the joule and the unit for charge is the coulomb, the unit for emf is the volt (1V=1J/C).

Answer:

The EMF or electromotive force is the energy supplied by a battery or a cell per coulomb (Q) of charge passing through it. The magnitude of emf is equal to V (potential difference) across the cell terminals when there is no current flowing through the circuit. (byjus)

Explanation:

A car moves at the constant speed of 20 m/s along a straight track for 12 seconds. Calculate how far it travels in meters in this time.

Answers

The distance traveled by car with a constant speed of 20m/s is equal to 240m.

What is speed?

The speed of an object can be defined as the distance traveled by the object in a definite time interval. The speed is a scalar quantity as it carries only the magnitude and does not have any direction.

The speed can be calculated from the ratio of the distance traveled by the object to the time taken to cover that distance.

The speed equation for an object can be written as follows:

Speed = distance /time taken

Distance = Speed × time

Given, the speed of the car = 20 m/s

The total time taken by car to travel the distance = 12 sec

The distance traveled by car = 20 × 12 = 240 m.

Therefore, the car will travel a distance of 240 meters in a given time.

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In a 350-m race, runner A starts from rest and accelerates at 1.6 m/s^2 for the first 30 m and then runs at constant speed. Runner B starts from rest and accelerates at 2.0 m/s^2 for the first 30 m and then runs at constant speed. Runner A befins running as soon as the race begins but B first takes a nap to rest up. What is the longest nap that B can take and still not lose the race?

Answers

Answer:

B can take 0.64 sec for the longest nap .

Explanation:

Given that,

Total distance = 350 m

Acceleration of A = 1.6 m/s²

Distance = 30 m

Acceleration of B = 2.0 m/s²

We need to calculate the time for A

Using equation of motion

[tex]s=ut+\dfrac{1}{2}at_{A}^2[/tex]

Put the value in the equation

[tex]30=0+\dfrac{1}{2}\times1.6\times t_{A}^2[/tex]

[tex]t_{A}=\sqrt{\dfrac{30\times2}{1.6}}[/tex]

[tex]t_{A}=6.12\ sec[/tex]

We need to calculate the time for B

Using equation of motion

[tex]s=ut+\dfrac{1}{2}at_{B}^2[/tex]

Put the value in the equation

[tex]30=0+\dfrac{1}{2}\times2.0\times t_{B}^2[/tex]

[tex]t_{B}=\sqrt{\dfrac{30\times2}{2.0}}[/tex]

[tex]t_{B}=5.48\ sec[/tex]

We need to calculate the time for longest nap

Using formula for difference of time

[tex]t'=t_{A}-t_{B}[/tex]

[tex]t'=6.12-5.48[/tex]

[tex]t'=0.64\ s[/tex]

Hence, B can take 0.64 sec for the longest nap .

What is the maximum power load on a circuit with wiring rated to 20 amps having a voltage of E=12 Volts?

Answers

P= IxE

20 amps times 12 volts equals 240 watts

Example: 5 48 watt light bulbs hooked to a 12 volt battery. Batteries hooked in parallel will increase amp/hour capacity but voltage stays at 12 volts.

A chocolate lab puppy can sprint at a speed of 5.7 m/s. How far will the puppy run in 13 seconds?
Please help this is due soon!!

Answers

This is a simple equation with simple answer it should be 74.1 because 5.7 x 13 = 74.1
We know that the puppy can sprint 5.7 m in 1 second so 13 seconds would equal 74.1 m.

Hope this helped please mark brainliest! :D

The kinetic energy of an object depends upon its _____ *
2 points
A. mass and resiliency
B. elasticity and weight
C. speed and mass
D. speed and distance

Answers

the kinetic energy of an object depends upon its- C. speed and mass

which technological advance has helped scientists to search for life in other star systems?

Answers

Answer:

Scientists are developing techniques to detect signatures from space in their search for alien life.

The Very Large Array (VLA) telescope, at the National Radio Astronomy Observatory (NARO) site in Socorro, New Mexico, will be used to constantly seek evidence of technosignatures.

Hope this helps

what magnetically happens when there is an electric current in a wire?​

Answers

Answer:

you change the direction of the magnetic field.

Explanation:

Because the magnetic field created by the electric current in the wire is changing directions around the wire, it will repel both poles of the magnet by bending away from the wire.

The correct answer is: when a current flows in a wire a magnetic field is set up around the wire. The field is circular without poles. If the current in heading away from you the magnetic field is clockwise and if the current is coming towards you the field is anti-clockwise. If the current is constant the strength of the magnetic field is also constant.

A bullet leaves a rifle with a muzzle velocity of 521 m/s. While accelerating through the barrel of the rifle, the bullet moves a distend of 0.840 m. Determine the acceleration of the bullet (assume a uniform acceleration)

Answers

The answer is 1.62 x 10/5 m/s

what are the bonds between carbon atoms in diamond?

Answers

They are bonded by iconic bond, Coordinate bond, hydrogen bonds, and Convalent bonds,

can you tell Which body part does not help in the perception and production of sound in humans?
ears, lungs, mouth or vocal cords
which is not?

Answers

your lungs aren’t the ones that make the sound

Lungs do not help in the perception and production of sound in humans.

What are lungs?

Gaseous exchange occurs during inhalation and exhale during breathing. Main components of the human respiratory system include the nose, mouth, throat, larynx, trachea, bronchi, and lungs.

In humans and other vertebrates, the primary organs for respiration are the lungs. They are situated in the thoracic cavity of the chest, on either side of the heart. The lungs are spongy, anatomically speaking, with a total surface area that ranges from 50 to 75 square meters.

The lungs' main job is to make it easier for gases to move from the blood into the air. It's interesting to note that the right lung is significantly larger and heavier than the left.

Hence, lungs do not help in the perception and production of sound in humans.

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Which action might lead scientists to develop new explanations about the
universe?
A. Making a guess about how many stars are in the Milky Way galaxy
B. Wondering whether other planets can support life and whether
that life would be similar to life on Earth
C. Discovering new planets orbiting a star by detecting a wobble in
the star's motion
D. Being familiar with different types of galaxies that exist in the
universe

Answers

Answer:B

Explanation:

Being familiar with the different types of galaxies that exist in the universe is the action which might lead the scientists to develop new explanations about the universe. Thus, the correct option is D.

How did the universe developed?

Many religious person, including many great scientists, hold that the God has created the universe and the various processes which are the driving physical and biological evolution and that these processes then resulted in the creation of the different galaxies, the solar system, and life on the planet Earth.

The Big Bang theory states that the universe came into being from a single, unimaginably hot and dense point more than about 13 billion years ago. This did not occur in an already existing space. Rather, it initiated from the expansion and cooling of space itself.

Therefore, the correct option is D.

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