A child pulls on a toy locomotive of mass 0.979 kg with a force of 3.25 N to the right. The locomotive is connected to two train cars by cables. Friction in the axles results in an effective coefficient of kinetic friction between the floor and the train which is 0.110. One car has a mass of 0.952 kg and the other has a mass of 0.419 kg.
What is the acceleration of the train?
What is the tension in the cable between the locomotive and the car connected to the locomotive?
Hints: For part (a), consider the locomotive and the 2 cars to be one “object”.
For part (b). consider the “object” to be the 2 cars.

Answers

Answer 1

Answer:

(a) The acceleration of the train and cars is approximately 0.304 m/s²

(b) The tension between the locomotive and the car connected to the locomotive is approximately 0.4166 N

Explanation:

The given parameter are;

The mass of the toy locomotive = 0.979 kg

The mass of one car = 0.952 kg

The mass of the other car = 0.419 kg

The total mass of the train locomotive and cars = 0.979 + 0.952 + 0.419 = 2.35 kg

The weight of the train locomotive and cars = 9.81 m/s² × 2.35 kg = 23.0535 N

The normal force of the train and cars = The weight of the train locomotive and cars = 23.0535 N

The coefficient of dynamic friction = The normal force × The coefficient of dynamic friction

The coefficient of dynamic friction = 23.0535 × 0.110 = 2.535885 N

The applied force = 3.25

The net force acting on the train locomotive and cars = 3.25 - 2.535885 0.714115 N

(a) Force = Mass × Acceleration

Acceleration = Force/Mass

∴ The acceleration of the train and cars = 0.714115 N/(2.35 kg) ≈ 0.304 m/s²

(b) The tension between the locomotive and the car connected to the locomotive = T₂ = ( (m₁ + m₂)/ (m₁ + m₂ + m₃)) × F

Therefore, T₂ =  ( (0.952 + 0.419)/ (0.952 + 0.419 + 0.979)) × 0.714115 ≈ 0.4166 N.


Related Questions

Please help me↓
This topographical map has contour lines 5 ft of elevation (height above sea level) apart; the numbers on the thicker lines are elevation in feet. What is the difference in elevation between the two points marked?
Point II is 45 ft lower.
Point II is 10 ft lower.
Point II is 10 ft higher.
Point II is 45 ft higher.

Answers

Answer:

unmmm u can say that it is going mt 15s

Answer: Did you get the answer?

Explanation:

car 1 is traveling south at 18 m/s and has a full load, giving it a total mass of 14,650 kg. Car 2 is traveling north at 11 m/s and has a mass of 3,825 kg. After the collision, car 1 has a final velocity of 6 m/s south. What is the velocity of car 2

Answers

Answer:

v_{4}= 80.92[m/s] (Heading south)

Explanation:

In order to calculate this problem, we must use the linear moment conservation principle, which tells us that the linear moment is conserved before and after the collision. In this way, we can propose an equation for the solution of the unknown.

ΣPbefore = ΣPafter

where:

P = linear momentum [kg*m/s]

Let's take the southward movement as negative and the northward movement as positive.

[tex]-(m_{1}*v_{1})+(m_{2}*v_{2})=-(m_{1}*v_{3})+(m_{2}*v_{4})[/tex]

where:

m₁ = mass of car 1 = 14650 [kg]

v₁ = velocity of car 1 = 18 [m/s]

m₂ = mass of car 2 = 3825 [kg]

v₂ = velocity of car 2 = 11 [m/s]

v₃ = velocity of car 1 after the collison = 6 [m/s]

v₄ = velocity of car 2 after the collision [m/s]

[tex]-(14650*18)+(3825*11)=(14650*6)-(3825*v_{4})\\v_{4}=80.92[m/s][/tex]

Answer the following questions

Answers

Answer:

9 - 10N to the left

10 - There is no change on the object

Explanation:

Can I have brainliest answer pls?

9- the answer is A 10N to left
10- the answer is C no change in the object
Hope this helps! :))

Which of the following objects has no kinetic energy ?

Answers

Answer:

delivery truck

Explanation:

All the objects such as delivery truck stopped at a light has no kinetic energy. Thus, the correct option is A.

What is Kinetic energy?

Kinetic energy is the energy of motion, it is observable as the movement of an object or the subatomic particles of an object. Every moving object and particle have certain amount of kinetic energy. A person who is walking, a soaring baseball, a crumb falling from a table and a charged particle in an electric field are all examples of the kinetic energy at work.

The example in which the delivery truck stopped at a light is an example which has no kinetic energy. Kinetic energy is due to motion of the object.

Therefore, the correct option is A.

Learn more about Kinetic energy here:

https://brainly.com/question/26472013

#SPJ6

Your question is incomplete, most probably the complete question is:

Which of the following objects has no kinetic energy?

a. delivery truck stopped at a light

b. eagle in flight over a park

c. cannonball fired from a cannon

d. diver falling from a diver board

A book is placed on a table and a bike moves on a road. Which statement is correct? (3 points)

Answers

The book has potential energy (Pe) and the bike has kinetic energy (Ke).

Answer:

C

Explanation:

The book has potential energy and the bike has kinetic energy.

Two 5.0-kg carts collide on a one-dimensional air track. The total momentum of the carts was 4.9 kg m/s rightwards before the collision. After the collision, one cart is moving leftwards at 0.15 m/s. what is the velocity of the second cart?

Answers

Answer:

1.13 m/s right

Explanation:

Momentum before = momentum after

p₀ = p

p₀ = m₁ v₁ + m₂ v₂

4.9 kg m/s = (5.0 kg) (-0.15 m/s) + (5.0 kg) v

4.9 kg m/s = -0.75 kg m/s + (5.0 kg) v

5.65 kg m/s = (5.0 kg) v

v = 1.13 m/s

Answer: 1.13 m/s equivalent to 1.1 m/s

Explanation:

how does the index of refraction of an unknown substance compare to the index of refraction of a vacuum? explain how the speed and the refraction of light would behave in both?

Answers

Answer:

By measuring the speed of light in both in space and that unknown substance

Explanation:

Refractive Index (Index of Refraction) is a value calculated from the ratio of the speed of light in a vacuum to that in a second medium of greater density.

By measuring the speed of light in that medium and dividing it by speed of light 3*10^8 we can measure the refractive index of any medium

A block slides down a 30.0 degree inclined plane at an acceleration of 2.0 m/s^2. What is the coefficient of friction between the block and the inclined plane? Use g=10.0 m/s^2
A) .20
B) .25
C) .30
D) .35

Answers

Answer:

D) .35

Explanation:

m = Mass of block

g = Acceleration due to gravity = [tex]10\ \text{m/s}^2[/tex]

[tex]\theta[/tex] = Angle of inclination = [tex]30^{\circ}[/tex]

a = Acceleration of block = [tex]2\ \text{m/s}^2[/tex]

[tex]\mu[/tex] = Coefficient of friction between the block and the inclined plane

f = Frictional force = [tex]\mu mg\cos\theta[/tex]

As the forces are conserved in the system we have

[tex]mg\sin\theta-f=ma\\\Rightarrow mg\sin\theta-\mu mg\cos\theta=ma\\\Rightarrow g(\sin\theta-\mu\cos\theta)=a\\\Rightarrow \sin30^{\circ}-\mu\cos30^{\circ}=\dfrac{2}{10}\\\Rightarrow \dfrac{1}{2}-\mu\dfrac{\sqrt{3}}{2}=0.2\\\Rightarrow \mu=\dfrac{\dfrac{1}{2}-0.2}{\dfrac{\sqrt{3}}{2}}\\\Rightarrow \mu=\dfrac{0.3\times 2}{\sqrt{3}}\\\Rightarrow \mu=0.3464\approx 0.35[/tex]

The coefficient of friction between the block and the inclined plane is 0.35

What is the correct interpretation of this diagram?


Forces from the left and the right are unbalanced. The object moves left.


Up and down forces are balanced. The force toward the right is greater than the force toward the left. The object will move toward the right.


Up and down forces are balanced. The object does not move.


Up and down forces are balanced. The force toward the right is greater than the force toward the left. The object will move toward the left.



Answers

Answer:

where is the diagram?

Explanation:

here is the diagram

hope this helps a little cuz i cant paste pictures here

Four directional arrows with labels five hundred seventy-nine Newtons, four hundred eighty-seven Newtons, five hundred seventy-nine Newtons and six hundred thirty-two Newtons

A student is helping his teacher move a 40.0 kg aquarium. What net sideways force must he exert on the aquarium to slide it across the floor so that it accelerates at 0.50 m/s2?

Answers

Answer:

20 N

Explanation:

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

Mass (m) of aquarium = 40 kg

Acceleration (a) = 0.50 m/s²

Force (F) =?

Force is simply defined as the product of mass and acceleration. Mathematically, it is expressed as:

Force (F) = mass (m) × acceleration (a)

F = m × a

With the above, we can obtain the force needed to slide the aquarium as follow:

Mass (m) of aquarium = 40 kg

Acceleration (a) = 0.50 m/s²

Force (F) =?

F = m × a

F = 40 × 0.5

F = 20 N

Therefore, a force of 20 N is needed to slide the aquarium.

You are interested in space travel and want to learn more facts about space travel.
Which would be the best source of information? (2 points)
The Star Wars web page NASA web page
A book about planets
A magazine article

Answers

Answer:

A Book about Planets

Explanation:

Answer:

Nasa web page

Explanation:

A jet liner must reach a speed of 82 m/s for takeoff. If the
runway is 1500 m long, what acceleration must the jet
have?

Answers

Answer:

The acceleration that the jet liner that must have is 2.241 meters per square second.

Explanation:

Let suppose that the jet liner accelerates uniformly. From statement we know the initial ([tex]v_{o}[/tex]) and final speeds ([tex]v_{f}[/tex]), measured in meters per second, of the aircraft and likewise the runway length ([tex]d[/tex]), measured in meters. The following kinematic equation is used to calculate the minimum acceleration needed ([tex]a[/tex]), measured in meters per square second:

[tex]a = \frac{v_{f}^{2}-v_{o}^{2}}{2\cdot d}[/tex]

If we know that [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]v_{f} = 82\,\frac{m}{s}[/tex] and [tex]d = 1500\,m[/tex], then the acceleration that the jet must have is:

[tex]a = \frac{\left(82\,\frac{m}{s} \right)^{2}-\left(0\,\frac{m}{s} \right)^{2}}{2\cdot (1500\,m)}[/tex]

[tex]a = 2.241\,\frac{m}{s^{2}}[/tex]

The acceleration that the jet liner that must have is 2.241 meters per square second.

Which phrase best describes Osorno?
shield volcano
active volcano
dormant volcano
explosive volcano

Answers

Answer:

dormant

Explanation:

Answer:

dormant

Explanation:

Is this physically plausible?

Answers

Answer:

stop useing my awnsers just to deleate them

Explanation:

please help urgent
Four forces are exerted on an object as shown below:
look at attachment
In which direction will the object move?

Up
Down
Left
Right

Answers

I think it will move down because this force it is 4N more than all force

How does mass affect acceleration during free fall?
Pick a hypothesis below now.

If an object falls freely, then heavy objects accelerate more than light objects.

If an object falls freely, then heavy objects accelerate less than light objects.

If an object falls freely, then heavy objects accelerate nearly the same as light objects.

Answers

the first one, as the mass is higher so it accelerates more

Answer:

it is the 3rd one

Explanation:

If an object falls freely, then heavy objects accelerate nearly the same as light objects.

Energy is
A) conserved
OB) created only
OC) destroyed only
OD) created or destroyed

Answers

Conserved.

Your explanation is that energy can be neither created, nor destroyed. Therefor, created wouldn’t be an answer, destroyed, or both. A is the only option left.

Hope this helps.

Answer:

A

Explanation:

Conserving energy produces a higher quality of life. Reduced emissions result in cleaner air quality. In addition, it helps create a healthier planet, or at least helps sustain the resources we already have

help me please I can't get the final step​

Answers

Answer:

[tex]\displaystyle m=\frac{2}{3},\ n=\frac{4}{3}[/tex]

Explanation:

Dimensional Analysis

It's given the relation between quantities A, B, and C as follows:

[tex]\displaystyle A=\frac{3}{2}B^mC^n[/tex]

and the dimensions of each variable is:

[tex]A=L^2T^2[/tex]

[tex]B=LT^{-1}[/tex]

[tex]C=LT^2[/tex]

Substituting the dimensions into the relation (the coefficient is not important in dimension analysis):

[tex]\displaystyle L^2T^2=\left(LT^{-1}\right)^m\left(LT^2\right)^n[/tex]

Operating:

[tex]L^2T^2=\left(L^mT^{-m}\right)\left(L^nT^{2n}\right)[/tex]

[tex]L^2T^2=L^{m+m}T^{-m+2n}[/tex]

Equating the exponents:

[tex]m+n=2[/tex]

[tex]-m+2n=2[/tex]

Adding both equations:

[tex]3n=4[/tex]

Solving:

[tex]n=4/3[/tex]

[tex]m=2-4/3=2/3[/tex]

Answer:

[tex]\mathbf{\displaystyle m=\frac{2}{3},\ n=\frac{4}{3}}[/tex]

how we will gonna solve this question?

0.05cm=_______=mm

Answers

The answer is 0.5mm

Answer:

It would be 0.5 millimeter !

Explanation:

1 cm is equal to 10 mm. You'll just need to move the decimal point over ! :))

During a thunderstorm a tornado lift a car to a height of 300 m above the ground increasing and strength the tornado flings the car horizontally with the speed of 80.0 m/s how long does the car take to reach the ground how far horizontally does the car travel before hitting the ground

Answers

Answer:

Explanation:

To calculate the time it took the car to hit the ground, we use the formula

speed = distance/time

80 m/s = 300 m/time

time = 300/80

time = 3.75 secs

It must have taken the car 3.75 seconds to hit the ground

To determine the horizontal distance of the car before hitting the ground, the same formula will also be used but with the time obtained above (since that was the time it took before hitting the ground)

speed = distance/time

80 = distance/3.75

distance = 3.75 x 80

distance = 300 meters

Suppose a cart of mass 0.5 kg is placed on the table and connected to a mass hanging mass over the edge. If the hanging mass is 0.2 kg, when what would be the acceleration of the cart?

Answers

Explanation:

0.10kg

0.5kg×0.2kg=

0.10

I can’t figure it out my question is:
--- are complex and may be change when new information is available or new technologies are developed.

My choices to choose from are:

Laws
Hypothesis
Theories
Procedures

Answers

Theories

If it’s wrong oh well because I just guest buh glad to help :)

true or false. A small pick-up truck traveling at 55 km/h has more momentum than a full-sized bus traveling at the same speed

Answers

The answer would be false

Answer: true

because the small truck is going fast and has momentum, so the bus and the truck have the same amount of momentum.

Hi i need help. thNKS

Answers

Answer:

8

Explanation:

Groups go down, periods go across :)

Two identical spheres (of equal mass) a distance of 10 meters apart exert a force of gravity of 0.00050 N on each other. What are their masses?

Answers

Answer:

From the following statements about mechanical waves, identify those that are true for transverse mechanical waves only, those that are true for longitudinal mechanical waves only, and those that are true for both types of waves.

Explanation:

Analyze the chemical reaction below
16 g CH4 + 64 g O2 → 44 g CO2 + 36g H2O
Explain the law of conservation of mass and describe how the equation represents the law of conservation of mass.

Answers

Answer:

Explanation:

The law of conservation of mass states that the mass of the elements at the beginning of the reaction(reactants) will equal the mass at the end of the reaction (product) .

In the chemical equation above,the total mass of the reactants is 80g(16+64) and the total mass of the products is also 80g(44+36).therefore the mass remained constant and that's how the equation represents the law of conservation of mass

Determine the activity of the sample of cerium when the sample was 20 seconds old

Answers

Answer:

There are [tex]3.779\times 10^{23}[/tex] atoms when the sample of cerium is 20 seconds old.

Explanation:

The decay of isotopes is modelled after the following exponential expression:

[tex]N(t) = N_{o}\cdot e^{-\left(\frac{\ln 2}{t_{1/2}}\right)\cdot t }[/tex] (1)

Where:

[tex]N_{o}[/tex] - Initial number of atoms, dimensionless.

[tex]N(t)[/tex] - Current number of atoms, dimensionless.

[tex]t[/tex] - Time, measured in seconds.

[tex]t_{1/2}[/tex] - Half-time, measured in seconds.

Now we clear the half-time within (1):

[tex]\ln \frac{N(t)}{N_{o}} = -\frac{t\cdot \ln 2}{t_{1/2}}[/tex]

[tex]t_{1/2} = -\frac{t\cdot \ln 2}{\ln \frac{N(t)}{N_{o}} }[/tex]

If we know that [tex]N_{o} = 5\times 10^{23}[/tex], [tex]N(t) = 2\times 10^{23}[/tex] and [tex]t = 66\,s[/tex], then the half-life of the isotope is:

[tex]t_{1/2}=-\frac{(66\,s)\cdot \ln 2}{\ln \frac{2}{5} }[/tex]

[tex]t_{1/2}\approx 49.927\,s[/tex]

And the decay equation for the sample is described by:

[tex]N(t) = (5\times 10^{23})\cdot e^{-0.014\cdot t}[/tex]

Lastly, if we get that [tex]t = 20\,s[/tex], then the activity of the sample of cerium is:

[tex]N(20) = (5\times 10^{23})\cdot e^{(-0.014)\cdot (20)}[/tex]

[tex]N (20) \approx 3.779\times 10^{23}[/tex]

There are [tex]3.779\times 10^{23}[/tex] atoms when the sample of cerium is 20 seconds old.

Objects change motion due to forces. When they become unbalanced, their motion changes, while balanced forces cause constant motion. Unbalanced forces result in a change of velocity. What is it called when velocity changes?

Answers

Answer:

Balanced forces: When a number of forces acting on a body do not cause any change in its state of rest or of uniform motion along a straight line then the forces are said to be balanced forces. In other words, a body is said to be underbalanced forced when the resulting force acting on the body is zero.

The balanced forces:

⋅ Cannot set any stationary body into motion.

⋅ May change the shape and size of soft objects.

⋅ Cannot change the speed/velocity of a moving body.

Unbalanced forces:

When the resultant of all the forces acting on a body is not zero, then forces are called unbalanced forces.

Example:

⋅ Game of tug of war: When the forces exerted by both the teams are equal, then the rope does not move. But, if the force applied by team A is greater than team B, then the rope, as well as members of the weaker team, i.e., B, will be pulled towards A. The unbalanced force can (a) Set a stationary body in motion.

⋅ Set a moving body at rest.

⋅ Change the direction of motion.

Explanation:

give me an one thanks please

To determine a waves' frequency, you must know the (2 points)
Select one:
a. distance it travels
b. number of oscillations in a given period of time
c. distance between the crest and trough
d. height of the wave

Answers

Answer:

b

to determine the frequency you must know oscillations and the given time

Martina travels from her house to her moms office building, From there she walks to school. After school, she walks to the library and then to a friends house before finally ending back at home. Fine Martina's totoal distance traveld

Answers

Answer:

it matters how far she traveled

Explanation:

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