A cart with mass m rolls along a track to the right with a speed vo. It strikes a bumper and rebounds with speed of vo/2. a) Use the impulse-momentum to write an equation for the
system which is the cart only. b) If the time during which the bumper exerts a force on the cart is t, write an expression for the force F exerted on the cart in terms of the given variables.

Answers

Answer 1

Answer:

a. I =  -3mv₀/2 b. F = -3mv₀/2t

Explanation:

a. Use the impulse-momentum to write an equation for the  system which is the cart only.

We know Impulse , I = Δp where Δp = change in momentum.

Now, Δp = m(v - u) where m = mass of cart, u = initial velocity of cart = v₀ and v = rebound velocity of cart = -v₀/2 (negative since it moves in the opposite direction to u)

So, I =  Δp = m(v - u)

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

I = m(-v₀/2 - v₀) = -3mv₀/2

So, I =  -3mv₀/2

b. If the time during which the bumper exerts a force on the cart is t, write an expression for the force F exerted on the cart in terms of the given variables.

We know impulse I = Ft where F = force exerted on the cart and t = time force acts

Also, I = -3mv₀/2

So, Ft = -3mv₀/2

F = -3mv₀/2t


Related Questions

Which of the following is NOT a component of the systemic circuit?

A. Left atria

B.Left ventricle

C. Pulmonary aortic valve

D. Bicuspid valve

Answers

Answer:

THE CORRECT ANSWER IS OPTION ( c )Pulmonary aortic valve

Explanation:

Pulmonary aortic valve is not a component of systemic circuit.

Systemic circuit?

Systemic circuit is a part of circulatory system that help to transport blood to different part of the body. It transport blood from the left ventricle to the capillaries and then other part of the body.

Therefore, Pulmonary aortic valve is not a component of systemic circuit.

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Missy's favorite ride at the Topsfield Fair is the rotor, which has a radius of 4.0 m. The ride
takes 2.0 s to make one full revolution. a) What is Missy's linear speed on the rotor? b) What is
Missy's centripetal acceleration on the rotor? If her mass is 50-Kg, how is the centripetal force
compare to her weight?


Answers

Answer:

a. 12.57 m/s b. 39.5 m/s² c. Her centripetal force is four times her weight.

Explanation:

a. What is Missy's linear speed on the rotor?

Missy's linear speed v = 2πr/T where r = radius = 4.0 m and T = time it takes to complete one revolution = 2.0 s

So, v = 2πr/T

= 2π(4.0 m)/2.0 s

= 4π m/s

= 12.57 m/s

b. What is  Missy's centripetal acceleration on the rotor?

Missy's centripetal acceleration, a = v²/r where v = linear velocity = 12.57 m/s and r = radius = 4.0 m

a = v²/r

= (12.57 m/s)²/4.0 m

= 158.01 m²/s² ÷ 4.0 m

= 39.5 m/s²

c. If her mass is 50-Kg, how is the centripetal force  compare to her weight?

Her centripetal force F = ma where m = mass = 50 kg and a = centripetal acceleration = 39.5 m/s².

Her weight W = mg where m = mass = 50 kg and g = acceleration due to gravity = 9.8 m/s².

So, comparing her centripetal force to her weight, we have

F/W = ma/mg

= a/g

= 39.5 m/s² ÷ 9.8 m/s²

= 4.03

≅ 4

So her centripetal force is four times her weight.

In what direction do the velocity vectors point in circular motion?

Answers

The velocity vector is always perpendicular to the radius. By radius, I mean the inward centripetal force that pulls the object to continue on its curved path. Without this inward force, the object would continue on a straight path tangential to the curve it was previously on.

calculate the density of gold if 96500kg mass of gold is adjusted in the volume of 5m cube​

Answers

Answer:

96500÷5=19300

Explanation:

96500÷5=19300

What is the connection to Canadian technology/development with the Kepler space telescope?

Answers

Answer:One of this country's most notable achievements will be spending Canada Day weekend marking its own milestone anniversary in a unique place, floating up in space.

After 10 years in the ether, several times farther from Earth than the International Space Station, it remains the world's smallest space telescope.

MOST was also Canada's first-ever space telescope when it was launched into space on June 30, 2003.

It has helped make Canada a leader in the field of micro satellites.

But Matthews is particularly enthused about all the other possibilities that might be opened up by the 60-kilogram MOST.

The colorful University of British Columbia astrophysicist firmly believes there is life outside our solar system.

"Certainly simple forms of life like microbial life is probably very common — and I hope complex life," Matthews said in a recent interview. "If it's out there, we're finding the places where it's most likely to live."

I have no Idea if this helps but hope it does.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the reactants with the products.

Answers

This is an incomplete question, the complete question is given below.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.  Match the reactants with the products.

copper sulfate + oxygen

copper oxide

zinc sulfate + copper

aluminum chloride + copper

copper + water

copper sulfate + zinc  →

aluminum + copper chloride  →

copper oxide + hydrogen  →

copper + oxygen  →

Answer :

Copper sulfate + Zinc → Zinc sulfate + copper

Aluminium + Copper chloride → Aluminium chloride + copper

Copper oxide + Hydrogen → Copper + Water

Copper + Oxygen → Copper oxide

Explanation :

As we know that chemical reaction is a reaction in which two or more than two substances or reactants are reacted to give two or more than two different products.

According to the question:

Copper sulfate + Zinc → Zinc sulfate + copper

This reaction is a single replacement reaction in which zinc is more reactive than copper and zinc displaces copper from its salt to give products.

Aluminium + Copper chloride → Aluminium chloride + Copper

This reaction is a single replacement reaction in which aluminium is a more reactive element than copper and aluminium displaces copper from its salt to give products.

Copper oxide + Hydrogen → Copper + water

This reaction is a single replacement reaction in which hydrogen displaces less reactive metals from their oxide to form water and the metal.

Copper + Oxygen → Copper oxide

This reaction is a synthesis reaction in which two different atoms or molecules combine to form single compound.

Answer:

Copper sulfate + Zinc → Zinc sulfate + copper

Aluminium + Copper chloride → Aluminium chloride + copper

Copper oxide + Hydrogen → Copper + Water

Copper + Oxygen → Copper oxide

Explanation:

guy above me

How are electromagnetic waves different from sound or water waves?

Answers

Explanation:

Electromagnetic waves are different from sound or water waves in such a way that water and sound waves are called mechanical waves that requires a material medium for their propagation.

Electromagnetic waves do no require a material medium for propagation.

Electromagnetic waves are carried or transported by radiation and this can be passed through vacuums and different other materials. But mechanical waves such as water and sound waves requires a material medium for their propagation. They cannot pass through a vacuum.

what effect does an unbalanced force have on an object?

Answers

Answer:

An unbalanced force can change an object's motion. An unbalanced force acting on a still object could make the object start moving. An unbalanced force acting on a moving object could make the object change direction, change speed, or stop moving.

Which of the following are electromagnetic waves?

Answers

Answer:

Microwaves

Radiowaves.

Answer:

radio waves

microwaves

infrared (IR)

visible light

ultraviolet light (UV)

X-rays

gamma rays

Explanation:

these are the electromagnetic spectrum. they are arranged in decreasing wavelength and increasing energy and frequency.

A 12 kg deer is running with 126 kg•m/s of momentum. What is the deer’s velocity?

Answers

Explanation:

HERE,

momentum =126 kg.m/s

weight =12 kg

we know that,

[tex]\tt{ velocity =\dfrac{momentum }{weight} }[/tex]

According to the question,

Deers velocity

=[tex]\tt{\dfrac{126}{12} }[/tex] ⠀

=[tex]\tt{ 10.5 }[/tex] ⠀

Deers velocity is 10.5 m/s.

What is the relationship between the force of gravity and the distance between the two objects involved?

Answers

Answer:

They are inversely proportional

Explanation:

The force of gravity and the distance between two objects involved are inversely proportional to one another.

According to newton's law of universal gravitation "the force of gravity between two bodies is a product of their masses and inversely proportional to the distances between them".

The force of gravity and distance between two bodies are inversely related. The larger the distance between two bodies the lesser the force of gravity between them.

I NEED HELP ASAP
____________ is the measure of how effectively a force causes rotation.

a. inertia

c. centripetal force

b. torque

d. none of the above


Please select the best answer from the choices provided

A

B

C

D

Answers

Answer:

I believe the answer is C

Explanation:

because centripetal force is generally assosiated with rotation and how fast something spins

Torque is the measure of how effectively a force causes rotation because centripetal force is generally assosiated with rotation and how fast something spins.

What is torque?

Torque is a pattern of the force that can make a victim to revolve on an axis. The torque's direction vector based on the force's direction on the axis.

The SI unit of torque is the Newton-meter. The Torque can be both static or dynamic.

A static is one that does not generate an angular acceleration.

The  Torque's magnitude vector ζ for a torque generated by a given force F is;

ζ = F .r sin(θ)

where,

r is the width of the moment arm

θ is the angle within the force vector and the moment arm.

In rotational kinematics, torque is measured as;

ζ = Iα

Where,

α is the angular acceleration

I is the rotational inertia

therefore, Torque is the measure of how effectively a force causes rotation because centripetal force is generally assosiated with rotation and how fast something spins.

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Please help I’m begging I have to get this in by tonight

Answers

Answer:

Divide Whole Numbers by Fraction Worksheet

To divide fractions, you need to invert the divisor and multiply. To invert a fraction, reverse the numerator and denominator. The special name given to an inverted fraction is reciprocal. Recall that a whole number has a understood denominator of 1.

For this graph to the right, what is the
velocity of the object? Show your work.

Answers

I dont see a mark where it is, if there was a line it would be marking the constant speed of it. There is just time(s) which probably stands for speed, and position(m) which probably stands for miles. There is a measurement of 50, down to 10. Please give me more explanation to this question and I may be able to help!

Define kinetic energy?​

Answers

It is the energy an object has because of its motion.

Answer:

the form of energy that makes something move

Explanation:

5.How far must a 5 N force pull a 50 g toy car if 30 J of energy are transferred?

Answers

Answer:

5 meters

Explanation:

Step one:

given data

mass of the toy car= 50g

Work done= 30J

Force applied F= 5N

Required

The distance moved

Step two:

The expression for the work done is given as

WD= force * distance

substitute

30= 5*d

divide both sides by 5

d=30/5

d= 5m

The distance moved is 5 meters

PLEASE The weight of a girl  is  600 N and the area of her one foot is        50 cm². What will be the pressure exerted by her on theground?       

Answers

Answer:

pressure=force/area

p=600/50

p=12

so 12Nm^-1

George rides his bike to his friend’s house that is 5 kilometers from his house. If he rides his bike at an average speed of 15 km/h, how long will it take him to get to his friend’s house?

Answers

I haven’t learned math in forever sorry

Answer:

It will take George 20 minutes to get to his friends house.

Explanation:

divide 5km by 15km and get a constant of 3

George is riding at 15KM/HR meaning divide the hour by 3

60 minutes by 3 is 20

pls help as fast as you can WILL GIVE BRAINLEIST
Identify 3 specific situations in which machines make work easier and explain why

Answers

Answer:

Does the Work for youMore EfficientChanges the Size of Force

Here's why this is correct

According to BrightHubEducation, Machines make work easier by changing the size of force, direction of force, or distance the force acts on. Lifting a car with a flat tire and loosening the lug nuts can be accomplished by a single person thanks to simple machines. The jack and lug wrench are simple machines that alter the force needed to change the tire.

Hope this helps!  <3

what is the volume of the following: *
110
121
120

Answers

Answer:

120

Explanation:

10 x 3 = 30

30 x 4 = 120

I hope this helps u! :D

Answer: ayee fanks bro

Explanation:

Which one is NOT an application of heating effect of electric current ? * Required to answer. Single choice.(1 Point) Electric bulb Electromagnet Electric water heater

Answers

Answer:

Electromagnet.

Explanation:

Electric bulb and electric water heather are application of heating effect of electric current. The electromagnet is not the result of heating effect of electric current. The bulb gives light due to the heating effect similarly the water is heated or warmed by the heating effect of electric current.

Gravity and inertia are the two forces that keep Earth in its orbit as it travels around the Sun. What would happen if the force of inertia disappeared?

A.
Earth would leave the solar system.

B.
There would be no changes in Earth's orbital path.

C.
Earth would break apart.

D.
Earth would be pulled into the sun.

Answers

Sorry if you get this wrong but I believe it’s C because without inertia.. particles will fall apart because inertia keeps everything together in the same motion

Selective breeding has been used to create plants that are more resistant to disease. Of what is this an example? A an organism being used as part of a technological process B an organism being changed through technological methods C a new technology inspired by the natural structure of a living organism D a new technology being directly developed from the structure of an organism

Answers

Answer:

B. an organism being changed through technological methods

Explanation:

Science can be defined as a branch of intellectual and practical study which systematically observe a body of fact in relation to the structure and behavior of non-living and living organisms (animals, plants and humans) in the natural world through experiments. One of the most important branch of science is bioengineering. Bioengineering can be defined as a high-tech process which avail scientists the opportunity or ability to modify, remove, replace and insert Deoxyribonucleic Acid (DNA) sequence in a living organism such as bacterias, animals, plants etc in order to correct a genetic disorder and to improve on their physical and chemical conditions.

Selective breeding has been used to create plants that are more resistant to disease. Thus, this is an example of an organism being changed through technological methods.

High- and low-pressure areas leading to air movement happen when there are differences in which factor?


clouds


density


atmosphere


precipitation

whoever gets the answer will get brainliest!! :D

Answers

Answer:

The answer is density

Explanation:

They density of the air is what makes a difference.

Someone pleaseeeee helppp

Answers

Explanation:

it's lead because see it's density if u have more density the voice will be slowest

an object is moving along a straight road at the speed of 6 km per hour

a,how future away is the object every one hour​

Answers

Answer:

6km

Explanation:

a bicycle wheel with a radius of 0.31 m rotates with an angular speed of 21 rad/s about its axle, which is at rest. What is the linear speed of a point on the rim of the wheel

Answers

Answer:

The linear speed is 6.51 m/s

Explanation:

Uniform Circular Motion

It's a movement of an object along the circumference of a circle. It can also be defined as a rotation along a circular path.

The angular speed can be calculated as follows:

[tex]\displaystyle \omega=\frac{v}{r}[/tex]

Where:

v = tangential or linear speed

r = radius of the circle described by the rotating object

To calculate the linear speed, solve for v:

[tex]v = \omega\cdot r[/tex]

[tex]v = 21\ rad/s\cdot 0.31\ m[/tex]

[tex]v = 6.51\ m/s[/tex]

The linear speed is 6.51 m/s

two carts are pushed apart by an expanding spring, as shown in the diagram. if the average force on the 1kg cart is 4N, what is the acceleration of each cart

Answers

a = f/m
a= 4N/1KG
4m/s

 The acceleration of each cart be 4 meter/second².

What is acceleration?

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Given parameters:

the average force on the 1kg cart is 4N.

Hence, the acceleration of the 1 kg cart be = force/mass

= 4/1 meter/second²

= 4 meter/second².

As two carts are pushed apart by an expanding spring, the acceleration of the other carts also be 4 meter/second².

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What is the relationship between Newton's first law of motion and inertia?​

Answers

Explanation: Newton's first law of motion states that a body at rest remains at rest, or, if in motion, remains in motion at a constant velocity unless acted on by a net external force. This is also known as the law of inertia. Inertia is the tendency of an object to remain at rest or remain in motion.

A car accelerates uniformly from rest and
reaches a speed of 9.2 m/s in 9.7 s. The
diameter of a tire is 47.8 cm.
Find the number of revolutions the tire
makes during this motion, assuming no slip-
ping
Answer in units of rev.

Answers

Answer:

29.75 revolutions

Explanation:

The kinematic formula for distance, given a uniform acceleration a and an initial velocity v₀, is

[tex]d=v_0t+\frac{1}{2}at^2[/tex]

This car is starting from rest, so v₀ = 0 m/s. Additionally, we have a = 9.2/9.7 m/s² and t = 9.7 s. Plugging these values into our equation:

[tex]d=0t+\frac{1}{2}\left(\frac{9.2}{9.7}\right)(9.7)^2\\d=\frac{1}{2}(9.2)(9.7)\\d=4.6(9.7)\\d=44.62[/tex]

So, the car has travelled 44.62 m in 9.7 seconds - we want to know how many of the tire's circumferences fit into that distance, so we'll first have to calculate that circumference. The formula for the circumference of a circle given its diameter is [tex]c=\pi{d}[/tex], which in this case is 47.8π cm, or, using π ≈ 3.14, 47.8(3.14) = 150.092 cm.

Before we divide the distance travelled by the circumference, we need to make sure we're using the same units. 1 m = 100 cm, so 105.092 cm ≈ 1.5 m. Dividing 44.62 m by this value, we find the number of revs is

[tex]44.62/1.5\approx29.75[/tex] revolutions

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please help this is due soonnnnnnn Please Urgent!! And please explain. :)A chemist must dilute 87.0 mL of 1.61 M aqueous sodium carbonate (Na,Co,) solution until the concentration falls to 1,00 M. He'll do this by adding distilled water to the solution until it reaches a certain final volume.Calculate this final volume, in liters. Round your answer to 3 significant digits. Which statement best describes balancing equations and the law of conservation of mass? There are more atoms in the reactants than in the products, and the total mass is the same in the reactants and in the products.The number of atoms is the same in the reactants and in the products, and the total mass is the same in the reactants and in the products. There are fewer atoms in the reactants than in the products, and the total mass is less in the reactants than in the products. There are more atoms in the reactants than in the products, and the total mass is higher in the reactants than in the products. Who is the Supreme Court President?How are Supreme Court Justices selected?How long is the term of a Supreme Court Justice? algebra 1 need help asap. Thanks so much!! a) Expand and simplify.9(x - 3) - 2(x-4)Simplify (9x-27)-(2x+8) The equation below expresses the approximateheight h, in meters, of a ball t seconds after it islaunched vertically upward from the ground.h(t) = 16t2 + 25t. At how many different times will the ball be 7 ft. High? Why did the trump followers attack the capitol? The chart shows the percentage of different elements in the human body. Which element is the most prevalent in the human body?nitrogenhydrogencarbonoxygen compare the dingley tariff to the wilson-gorman act I GIVE BRAINLIESTPoint A is located in which quadrant? some soiled goods are sold for 2 /5 of their original price. what will be the selling price of a pair of trouser originally Costing#850.00 Simplify the expression: 2(2 + g) = A gust of wind blowing east pushes against a ball. When will the wind do work on the ball? when the ball moves to the east when the ball moves to the north when the ball stays in one place when the ball moves north or south A plant growing toward a light source is an example of an organism..A: attracting a mateB: destroying infectious germs C: responding to external stimuliD: obtaining moisture from the air Write an equation in slope-intercept form y = mx + b of a line with a slope of 3/4and a y-intercept of -2. * A persons heart rate is typically between 60 seconds and 100 beats Noah looks at his watch and counts 8 beats and 100 beats !!!!!!!!WILL MARK BRAINLIEST!!!!!!!!!!!! A school board is interested in whether high school students would like to shift the school day forward by 30 minutes. They decide to conduct a survey and randomly select students who are involved in extracurricular activities. Which statement is true? A. The survey results are most at risk for nonresponse bias. B. The survey results are most at risk for undercoverage. C. The survey results are most at risk for students not being able to answer honestly. D. The survey results are not at risk for any bias. Please help I will mark Brainliest Write an equivalent expression to 3x + 6 + 4x + 2 by combining like terms.