Kinematics
29. A car starts from rest and attains a velocity
of 40 m/s in 20 s. It maintains this velocity
for 30 s and then comes to rest in 25 s.
Calculate
a) the acceleration of the car;
b) the deceleration of the car,
c) the total distance covered by the car.​

Answers

Answer 1

Answer:

a)

a = 2 [m/s^2]

b)

a = 1.6 [m/s^2]

c)

xt = 2100 [m]

Explanation:

In order to solve this problem we must use kinematics equations. But first we must identify what kind of movement is being studied.

a)

When the car moves from rest to 40 [m/s] by 20 [s], it has a uniformly accelerated movement, in this way we can calculate the acceleration by means of the following equation:

[tex]v_{f} = v_{i}+(a*t)[/tex]

where:

Vf = final velocity = 40 [m/s]

Vi = initial velocity = 0 (starting from rest)

a = acceleration [m/s^2]

t = time = 20 [s]

40 = 0 + (a*20)

a = 2 [m/s^2]

The distance can be calculates as follows:

[tex]v_{f} ^{2} = v_{i} ^{2}+(2*a*x)[/tex]

where:

x1 = distance [m]

40^2 = 0 + (2*2*x1)

x1 = 400 [m]

Now the car maintains its speed of 40 [m/s] for 30 seconds, we must calculate the distance x2 by means of the following equation, it is important to emphasize that this movement is at a constant speed.

v = x2/t2

where:

x2 = distance [m]

t2 = 30 [s]

x2 = 40*30

x2 = 1200 [m]

b)

Immediately after a change of speed occurs, such that the previous final speed becomes the initial speed, the new Final speed corresponds to zero, since the car stops completely.

[tex]v_{f} = v_{i}-a*t[/tex]

Note: the negative sign of the equation means that the car is stopping, i.e. slowing down.

0 = 40 - (a *25)

a = 40/25

a = 1.6 [m/s^2]

The distance can be calculates as follows:

[tex]v_{f} ^{2} = v_{i} ^{2} -2*a*x3\\[/tex]

0 = (40^2) - (2*1.6*x3)

x3 = 500 [m]

c)

Now we sum all the distances calculated:

xt = x1 + x2 + x3

xt = 400 + 1200 + 500

xt = 2100 [m]


Related Questions

On the Moon, astronauts can “bounce” from location to location, but on Earth they cannot move in this way. What physical property changes based on the gravitational force of a planet or moon?

Answers

The physical property that changes is the astronauts “weight” because of the different gravitational force of the moon.

can energy change in physical change

Answers

“Physical changes involve small changes in energy and are easily reversible. A chemical change may involve a decomposition or synthesis reaction. During chemical change, the mass and number of atoms is conserved, but the number of molecules is not always the same. Chemical reactions involve larger changes in energy.” (open stacks) hope this helps!

A rotating pulley completes 12 rev in 4 secs determine the average angular velocity in rev /s, rpm and in rad/s​

Answers

12 rev per 4 seconds
3 rev per second
180 rev per minute
18.8 rad per second

Answer: The average angular velocity  for a rotating pulley is 3 rev/s, 180 rpm, 6π rad/s.

The pulley turns rotating when the rope tugged and completes 12 rev in 4 seconds.

How to determine the average angular velocity?

 If we consider a pulley rotating in a same axis, every point in the pulley has the same angular velocity.

Formula for angular velocity:

                    ω = Δθ / Δt

The average angular velocity can be defined as the ratio of the angular displacement to the time.

                                θ = 12 rev, t = 4s

             1 revolution = 2π rad

It can be solved as:

      Revolutions / second: 

      rev / s = 12 / 4      

                  =  3

      Revolutions per minute:

        rpm   =  ( 12/4) × 60

                  =   180

      Radian / second :

        rad/s  =   (12×2π / 4 )

                   =  

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If an object is moving up, is it considered to have a positive or negative velocity?

Answers

Answer:

A positive velocity

Explanation:

PLEASE HELP ME

A boulder is raised above the ground so that the gravitational potential energy relative to the ground is 310 J. Then it is dropped. What is its kinetic energy just before it hits the ground?

Answers

Answer:

try this

Explanation:

The energy of a falling object when it hits the ground is equaled to the energy it starts with because the potential energy is converted into kinetic energy entirely with the height at 0. This means the energy would be 200 J.

RESULT

Plz I need help on my last question

Answers

Answer:

Dispalcement(s)=v*t

=8.1*6

=48.6m

lily took 57 seconds to walk from schoolroom to library. if the distance between the classroom and library was 38m, at what average speed did lily walk in m/min?

Answers

Answer:

7mph

Explanation:

Help PLZ ;)

If the distance between two objects increases, what happens to the force of gravity between them?
(A) Increases
(B) Decreases
(C) Stays the same

Answers

Answer:

B) Decreases

Explanation:

Gravitational force is inversely proportional to distance. As distance between 2 objects increase, gravitational force between the 2 objects decreases.

Hope this helps!

Answer:

The answer would be B

Explanation:

4.) A boat heading north crosses a wide river at a velocity of 2.778 m/s. The river current pushes the boat east at a constant velocity of 1.389 m/s. Find the resultant velocity. a.) 3.11 m/s b.) 9.65 m/s c.) 0.78 m/s d.) 6.38 m/s​

Answers

Answer:

Resultant velocity = 3.11 m/s.

Explanation:

It is given that,

The velocity of a boat is 2.778 m/s due North

The velocuity of river is 1.389 m/s due east.

We need to find the resultant velocity. The angle between these two velocities is 90 degrees. The resultant is given by :

[tex]v=\sqrt{v_b^2+v_r^2} \\\\v=\sqrt{2.778 ^2+1.389 ^2} \\\\v=3.11\ m/s[/tex]

So, the correct option is (a).

A Parachutist with a camera, with descending at a speed of 12.5m/s, releases, the camera at an altitude of 64.3m. What is the magnitude of the velocity of the camera just before it hits the ground ? The acceleration of gravity is 9.8 m/s and air friction is negligible. How long does it take the camera to reach the ground

Answers

Given :

Initial velocity, u = 12.5 m/s.

Height of camera, h = 64.3 m.

Acceleration due to gravity, g = 9.8 m/s².

To Find :

How long does it take the camera to reach the ground.

Solution :

By equation of motion :

[tex]h = ut+\dfrac{gt^2}{2}[/tex]

Putting all given values, we get :

[tex]12.5t+\dfrac{9.8t^2}{2}=64.3\\\\4.9t^2+12.5t=64.3[/tex]

t = 2.56  and t = −5.116.

Since, time cannot be negative.

t = 2.56 s.

Therefore, time taken is 2.56 s.

Hence, this is the required solution.

An object is moving east with a constant speed of 30 m/s for 5 seconds. What is the object's acceleration

Answers

Answer:

The answer is 6 m/s²

Explanation:

The acceleration of an object given it's velocity and time taken can be found by using the formula

[tex]a = \frac{v}{t} \\ [/tex]

where

v is the velocity

t is the time

We have

[tex]a = \frac{30}{5} \\ [/tex]

We have the final answer as

6 m/s²

Hope this helps you

When you sit in a chair, your body exerts a downward force on the chair. What
is the reaction force?
A. The floor pushes up on the chair.
B. The chair pushes down on the floor.
C. Earth's gravity pulls up on the chain
D. The chair pushes up on your body.

Answers

Answer:

ITS D !!!

Explanation:

IN ME WE TRUST

When you sit on the chair, your body will exert a downward force and in reaction, the chair pushes up on your body. Hence, option D is correct.

What is a Reaction Force?

A building experiences a reaction force when it rests against another object. Calculating the reaction forces at the supports as a result of the forces operating on the beam is a necessary step in the analysis of a beam structure. The reaction forces can be calculated using a free body diagram of the entire beam.

Corrosion can be caused by reaction forces. For instance, due to the system's increased stiffness, reaction forces increase when bearing clearances are reduced from 350 mm to 150 mm.

According to the question, when the body will exert a downward force that is mg due to gravity, the chair will make a normal reaction force which will be equal to the force applied by the body on the chair.

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12. Describe Binding energy and how it plays a role in nuclear fusion up to 56Fe (the synthesis of iron
nuclei). Include a description of the relationship between the strong nuclear force, the
electromagnetic force, and the number of nucleons involved in the fusion in your answer.
Help me on thiss one once again ughh ! asap ! hurry

Answers

The binding energy per nucleon increases in value from Hydrogen up to Iron (Fe 56). This causes lighter nuclei to fuse together to make more stable heavier nuclei.

The strong nuclear force is responsible for causing the fusion of the nuclei and it is much much stronger than the electromagnetic force that would otherwise keep the positive protons apart.

Please help ASAP WILL GIVE BRAINLIEST

why is it important to use the correct number of significant digits when reporting the results of an experiment
A. So other scientist can see how spread out your data are
B. So other scientists can see how many separate trials you preformed
C. So other scientists can compare their experimental results with yours
D. So other scientistcan see how precise your measurements were

Answers

Answer:

D

Explanation: It makes the most sense. Plz mark brainliest

Answer:

D

Explanation:

So other scientist can see how precise your measurements are

To get employees to work longer hours, employers often offer __________ in the form of extra pay.
A.
costs
B.
benefits
C.
incentives
D.
consequences

Answers

C- Incentives it’s like a reward ~!

Answer:

C

Explanation:

I took the test

A car accelerates from 1.5 to 18 m/sec in 9.6 seconds. Calculate its acceleration. and the other one is During a race, you speed up from 2.2 m/sec to 4 m/sec in 3.2 seconds. (a) What is your change in speed? ____ m/sec (b) What is your acceleration? ___ m/sec2

Answers

Answer:

(1) The acceleration is 1.72 m/s²

(2) (a) The change in speed is 1.8 m/s

(2) (b) The acceleration is 0.563 m/s²

Explanation:

(1)

Given;

initial velocity, u = 1.5 m/s

final velocity, v = 18 m/s

time of motion, t = 9.6 s

The acceleration is given by;

a = (v - u) / t

a = (18 - 1.5) / 9.6

a = 1.72 m/s²

(2)

Given;

initial speed, u = 2.2 m/s

final speed, v = 4 m/s

time of motion, t = 3.2 s

(a) The change in speed is given by;

Δv = v - u

Δv = 4 m/s  - 2.2 m/s

Δv = 1.8 m/s

(b) the acceleration is given by;

a = Δv / t

a = 1.8 / 3.2

a = 0.563 m/s²

Fill in the blanks to complete the statements.

A paper plane moving through the air experiences air _____ .

Frictional forces acting on an object are often converted into ______
energy, which causes the temperature of the object to rise slightly.

Answers

Answer:

Resistance and thermal

Explanation:

Edge 2020

A paper plane moving through the air experiences air resistance.

Frictional forces acting on an object are often converted into thermal energy, which causes the temperature of the object to rise slightly.

What is Frictional forces?

Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.

What is thermal energy?

Thermal energy refers to the energy contained within a system that is responsible for its temperature. Heat is the flow of thermal energy.

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4. Hijackers are taking over a plane, They tell the pilot to get to Spain as fast as possible. The plane goes from 900
km/hr (beginning speed) to 1140 km/hr (final speed) in just 6 seconds. What is the acceleration of the plane?

Answers

The acceleration is about 1457, because of the wind turbines and the way it’s going

mechanical advantage of a simple machine is 4,what does it mean?​

Answers

Answer:

I hope this answer is correct

Explanation:

The mechanical advantage of a machine is 4. Mechanical advantage MA is the ratio of output (generated by the machine) force to input (applied to the machine) force. So MA = 4 means that for example if you apply 100 N then your machine will multiply that force and generate 400 N.

A car starts from rest and accelerates uniformly over a time of 7.31 seconds for a distance of 160 m. Determine the acceleration of the car.

Answers

Answer:

Since it is given that car starts from rest so initial velocity  

u

=

0 m/s

. The position of car is given, so  

S

=

215 m

.

Explanation:

6346345

Answer:

215 m

Explanation:

What is the mass of a car if 4500N of force is used to accelerate it at a rate of 3.0m/s?

Answers

Answer:

The answer is 15,000 kg

Explanation:

The mass of the car can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{45000}{3} \\ [/tex]

We have the final answer as

15,000 kg

Hope this helps you

IDK MORE POINTS BUT SAY SOMTHING FUNNY

Answers

Not the place for this but yesterday I ate a clock, it was very time consuming.

What is brown and sticky

A STICK GET YOUR MIND OUT OF THE GUTTER

HELP RN PLEASSEEE!!! HELP!!

Choose all the answers that apply.

According to Newton's second law of motion:

1.objects at rest will remain at rest unless acted upon by an outside force

2.mass has an inverse relationship with acceleration

3.the greater the magnitude of force, the faster the acceleration

4.acceleration is caused by unbalanced forces

5.every action has an equal and opposite reaction

Answers

2ND LAW OF MOTION

2. mass has an inverse relationship with acceleration.

3. the greater the magnitude of force, the faster the acceleration.

Which model of the atom has electrons traveling in specific paths around the nucleus? Bohr's model Rutherford's model Thomson's model Dalton's model

Answers

Answer:

A, Bohr's model

Explanation:

Took the quiz, hope it's right for you.

(The other three did have something to do with it they just didn't create that specific model)

The model of the atom that has electrons traveling in specific paths around the nucleus is Rutherford's model.

Therefore, the correct answer is option B

J. J Thomson proposed that the atom is a sphere of positively charged matter in which negatively charged electron are embedded.

In Rutherford's model of atomic structure, the electrons moves in orbits by electrostatic attraction to the positively charged nucleus.

According to Dalton's atomic theory, atom were indestructible and indivisible  solid particle.

Bohr's model made assumption that electron can only exist in circular orbits of definite quantum energy.  

According to the question, the model of the atom that has electrons traveling in specific paths around the nucleus is Rutherford's model.

Therefore, the correct answer is option B

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Challenge: Write a Poem

Answers

Answer:

okkk soo...

Friendship is one of life's greatest treasures. Friends that are loyal are always there to make you laugh when you are down, they are not afraid to help you avoid mistakes and they look out for your best interest. This kind of friend can be hard to find, but they offer a friendship that will last a lifetime. Other friends may not be quite as loving. The pain caused by a friendship marred by betrayal is not easy to overcome. In fact, many poems find their inspiration from the joy brought about by a loving friendship or the pain caused by a failed friendship.

Explanation:

Roses aren’t always red and violets aren’t exactly blue, the society we live in never seems to speak the truth. Smiles aren’t always happy and frowns aren’t always upset, people judge too quickly and our feelings are what they forget

A vertical rope is attached to an object that has a mass of 40.0 kg and is at rest.
The tension in the rope needed to give the object an upward speed of 3.50 m/s
in 0.700 s is

Answers

Answer:

239.2 N

Explanation:

Given that a vertical rope is attached to an object that has a mass of 40.0 kg and is at rest.The tension in the rope needed to give the object an upward speed of 3.50 m/s

in 0.700 s is

The tension in the rope and the weight of the mass will be acting in an opposite direction.

T - mg = ma ....... (1)

Where acceleration a = Velocity/ time

a = 3.5 / 0.7

a = 5 m/s^2

Substitutes acceleration a into the equation 1 above.

T - 40 × 9.8 = 40 × 5

T - 39.2 = 200

T = 200 + 39.2

T = 239.2N

Therefore, the tension in the rope needed to give the object an upward speed of 3.50 m/s

in 0.700 s is 239.2N

Answer:

The answer is T=592 N

Explanation:

Fw= 392N

a=v/t, so a=3.5ms^-1/0.7s

a=5ms^-2

Fnet=ma

T-Fw=ma

T-392N=40kg(5ms^-2)

T=592N

You have about 10 quarts of blood in your body. At REST your heart pumps about 5 quarts each minutes. That is half of your blood volume per minute. During exercise it can pump 40 quarts per minute. How many times does all of your blood complete the cycle around your body during exercise?

Answers

Answer:

8 times

Explanation:

Given that You have about 10 quarts of blood in your body. At REST your heart pumps about 5 quarts each minutes.

That means the heart will pump 10 quarts in 2 minutes.

That is half of your blood volume per minute.

If during exercise it can pump 40 quarts per minute, that is, 80 quarts in 2 minutes.

To know how many times does all of your blood complete the cycle around your body during exercise, you must divide 80 quarts by 10 quarts. That is,

80 / 10 = 8

Therefore, your blood complete the cycle around your body 8 times during the exercise.

Michael tells Erica he weighs 104 pounds. Erica says she is 44 kilograms. If there are 2.2 pounds in a
kilogram, who is heavier?

Answers

Answer:

Michael is heavier.

Explanation:

If Michael is 104 pounds, that is equal to 47 kg.

Erica is 44 kg which is 97 pounds.

104 is greater than 97, and 47 is greater than 44.

Answer:

Michael weighs more

Explanation:

First, you need to convert either kilograms into pounds or pounds into kilograms. For this problem, I will convert kilograms into pounds.

Multiply 44kg by 2.2 pounds to find how many pounds are in 44 kg

44 x 2.2 = 96.8 pounds

Michael - 104 pounds

Erica - 96.8 pounds

Michael is heavier than Erica because he weighs 7.2 pounds more than her.

(pounds to kilograms - 104/2.2 = 47.3 kg   Michael weighs 7.3 kilograms more than Erica)

You walk east for 30 m, then decide to walk north foranother 30 m. What is the angle of direction of your displacement?​

Answers

Answer:

Displacement is 42.426 m NE and the angle is opposite/adjacent or 30/30 which would equal 1 degree which doesn't seem right but hopefully its an answer.

Explanation:

Which of the following would be best for absorbing light?

a A mirror

b A black shirt

c glass

d concrete

Answers

B.) a black shirt


Explanation:
A black object absorbs all the light; it doesn’t reflect any color
Other Questions
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